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102012012022212 = 2232101149188296033
BaseRepresentation
bin10111001100011110000101…
…101111010100100111000100
3111101012020211111220022222100
4113030132011233110213010
5101332331100034202322
61000543401003032100
730326060520145245
oct2714360557244704
9441166744808870
10102012012022212
112a560062380046
12b53674050b630
1344bc8cb190c66
141b2959cb2cccc
15bbd8770e4dac
hex5cc785bd49c4

102012012022212 has 72 divisors (see below), whose sum is σ = 262164568138200. Its totient is φ = 33441375283200.

The previous prime is 102012012022199. The next prime is 102012012022237. The reversal of 102012012022212 is 212220210210201.

It is a happy number.

102012012022212 is a `hidden beast` number, since 10 + 201 + 201 + 20 + 22 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2798340134976 + 99213671887236 = 1672824^2 + 9960606^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93606253 + ... + 94689780.

It is an arithmetic number, because the mean of its divisors is an integer number (3641174557475).

Almost surely, 2102012012022212 is an apocalyptic number.

102012012022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102012012022212 is an abundant number, since it is smaller than the sum of its proper divisors (160152556115988).

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

102012012022212 is a wasteful number, since it uses less digits than its factorization.

102012012022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188296293 (or 188296288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102012012022212 its reverse (212220210210201), we get a palindrome (314232222232413).

The spelling of 102012012022212 in words is "one hundred two trillion, twelve billion, twelve million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 149 202 298 303 404 447 596 606 894 909 1212 1341 1788 1818 2682 3636 5364 15049 30098 45147 60196 90294 135441 180588 270882 541764 188296033 376592066 564888099 753184132 1129776198 1694664297 2259552396 3389328594 6778657188 19017899333 28056108917 38035798666 56112217834 57053697999 76071597332 84168326751 112224435668 114107395998 168336653502 171161093997 228214791996 252504980253 336673307004 342322187994 505009960506 684644375988 1010019921012 2833667000617 5667334001234 8501001001851 11334668002468 17002002003702 25503003005553 34004004007404 51006006011106 102012012022212