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102222212220 = 2235567313931
BaseRepresentation
bin101111100110011101…
…0110010110001111100
3100202212001010102100000
41133030322302301330
53133322341242340
6114543224434300
710246106316222
oct1371472626174
9322761112300
10102222212220
113a396857027
121798a018990
13984101a40b
144d3a240b12
1529d4392d30
hex17cceb2c7c

102222212220 has 144 divisors (see below), whose sum is σ = 326358684288. Its totient is φ = 26852316480.

The previous prime is 102222212203. The next prime is 102222212251. The reversal of 102222212220 is 22212222201.

102222212220 is a `hidden beast` number, since 1 + 0 + 222 + 221 + 2 + 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 = 102222212193 and 102222212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168655 + ... + 482585.

It is an arithmetic number, because the mean of its divisors is an integer number (2266379752).

Almost surely, 2102222212220 is an apocalyptic number.

102222212220 is a gapful number since it is divisible by the number (10) 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 102222212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163179342144).

102222212220 is an abundant number, since it is smaller than the sum of its proper divisors (224136472068).

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

102222212220 is a wasteful number, since it uses less digits than its factorization.

102222212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314022 (or 314008 counting only the distinct ones).

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

Adding to 102222212220 its reverse (22212222201), we get a palindrome (124434434421).

The spelling of 102222212220 in words is "one hundred two billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 243 268 270 324 335 402 405 486 540 603 670 804 810 972 1005 1206 1215 1340 1620 1809 2010 2412 2430 3015 3618 4020 4860 5427 6030 7236 9045 10854 12060 16281 18090 21708 27135 32562 36180 54270 65124 81405 108540 162810 313931 325620 627862 941793 1255724 1569655 1883586 2825379 3139310 3767172 4708965 5650758 6278620 8476137 9417930 11301516 14126895 16952274 18835860 21033377 25428411 28253790 33904548 42066754 42380685 50856822 56507580 63100131 76285233 84133508 84761370 101713644 105166885 126200262 127142055 152570466 169522740 189300393 210333770 252400524 254284110 305140932 315500655 378600786 381426165 420667540 508568220 567901179 631001310 757201572 762852330 946501965 1135802358 1262002620 1525704660 1703703537 1893003930 2271604716 2839505895 3407407074 3786007860 5111110611 5679011790 6814814148 8518517685 10222221222 11358023580 17037035370 20444442444 25555553055 34074070740 51111106110 102222212220