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21103232220 = 223257167100291
BaseRepresentation
bin10011101001110110…
…011100010011011100
32000110201110021100100
4103221312130103130
5321204411412340
613410015301100
71344646341240
oct235166342334
960421407310
1021103232220
118a4a251794
12410b51a790
131cb411a875
141042a26420
15837a3e830
hex4e9d9c4dc

21103232220 has 144 divisors (see below), whose sum is σ = 73596676608. Its totient is φ = 4794664320.

The previous prime is 21103232203. The next prime is 21103232263. The reversal of 21103232220 is 2223230112.

21103232220 is a `hidden beast` number, since 211 + 0 + 3 + 232 + 220 = 666.

It is a super-2 number, since 2×211032322202 (a number of 21 digits) contains 22 as substring.

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 = 21103232193 and 21103232202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160275 + ... + 260565.

It is an arithmetic number, because the mean of its divisors is an integer number (511088032).

Almost surely, 221103232220 is an apocalyptic number.

21103232220 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 21103232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36798338304).

21103232220 is an abundant number, since it is smaller than the sum of its proper divisors (52493444388).

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

21103232220 is a wasteful number, since it uses less digits than its factorization.

21103232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100480 (or 100475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21103232220 its reverse (2223230112), we get a palindrome (23326462332).

The spelling of 21103232220 in words is "twenty-one billion, one hundred three million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 167 180 210 252 315 334 420 501 630 668 835 1002 1169 1260 1503 1670 2004 2338 2505 3006 3340 3507 4676 5010 5845 6012 7014 7515 10020 10521 11690 14028 15030 17535 21042 23380 30060 35070 42084 52605 70140 100291 105210 200582 210420 300873 401164 501455 601746 702037 902619 1002910 1203492 1404074 1504365 1805238 2005820 2106111 2808148 3008730 3510185 3610476 4212222 4513095 6017460 6318333 7020370 8424444 9026190 10530555 12636666 14040740 16748597 18052380 21061110 25273332 31591665 33497194 42122220 50245791 63183330 66994388 83742985 100491582 117240179 126366660 150737373 167485970 200983164 234480358 251228955 301474746 334971940 351720537 468960716 502457910 586200895 602949492 703441074 753686865 1004915820 1055161611 1172401790 1406882148 1507373730 1758602685 2110323222 2344803580 3014747460 3517205370 4220646444 5275808055 7034410740 10551616110 21103232220