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21022201220220 = 223251131770758369
BaseRepresentation
bin1001100011110100111001…
…10101100000110001111100
32202102200222100101202212100
410301322130311200301330
510223411432003021340
6112413244345505100
74266542513025324
oct461723465406174
982380870352770
1021022201220220
1167755135a5312
1224362b07a2190
13b96500cc5075
145296a1064284
15266c80726830
hex131e9cd60c7c

21022201220220 has 144 divisors (see below), whose sum is σ = 64336391814240. Its totient is φ = 5555901431808.

The previous prime is 21022201220203. The next prime is 21022201220323. The reversal of 21022201220220 is 2202210222012.

21022201220220 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 220 + 1 + 220 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21022201220193 and 21022201220202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360131196 + ... + 360189564.

It is an arithmetic number, because the mean of its divisors is an integer number (446780498710).

Almost surely, 221022201220220 is an apocalyptic number.

21022201220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022201220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32168195907120).

21022201220220 is an abundant number, since it is smaller than the sum of its proper divisors (43314190594020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21022201220220 is a wasteful number, since it uses less digits than its factorization.

21022201220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76204 (or 76199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21022201220220 its reverse (2202210222012), we get a palindrome (23224411442232).

The spelling of 21022201220220 in words is "twenty-one trillion, twenty-two billion, two hundred one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 17707 20340 35414 53121 58369 70828 88535 106242 116738 159363 175107 177070 212484 233476 265605 291845 318726 350214 354140 525321 531210 583690 637452 700428 796815 875535 1050642 1062420 1167380 1593630 1751070 2000891 2101284 2626605 3187260 3502140 4001782 5253210 6002673 6595697 8003564 10004455 10506420 12005346 13191394 18008019 19787091 20008910 24010692 26382788 30013365 32978485 36016038 39574182 40017820 59361273 60026730 65956970 72032076 79148364 90040095 98935455 118722546 120053460 131913940 180080190 197870910 237445092 296806365 360160380 395741820 593612730 1033539883 1187225460 2067079766 3100619649 4134159532 5167699415 6201239298 9301858947 10335398830 12402478596 15503098245 18603717894 20670797660 31006196490 37207435788 46509294735 62012392980 93018589470 116790006779 186037178940 233580013558 350370020337 467160027116 583950033895 700740040674 1051110061011 1167900067790 1401480081348 1751850101685 2102220122022 2335800135580 3503700203370 4204440244044 5255550305055 7007400406740 10511100610110 21022201220220