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102212021001220 = 225131231592753881
BaseRepresentation
bin10111001111011000010111…
…001101000001110000000100
3111101220101002111002012100121
4113033120113031001300010
5101344120204334014340
61001215315413351324
730346401110340154
oct2717302715016004
9441811074065317
10102212021001220
112a627969214309
12b56945b038544
134505724305050
141b351340aa764
15bc3b8123e94a
hex5cf617341c04

102212021001220 has 96 divisors (see below), whose sum is σ = 231387522702336. Its totient is φ = 37702103270400.

The previous prime is 102212021001197. The next prime is 102212021001313. The reversal of 102212021001220 is 22100120212201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102212021001194 and 102212021001203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896968680 + ... + 1897022560.

It is an arithmetic number, because the mean of its divisors is an integer number (2410286694816).

Almost surely, 2102212021001220 is an apocalyptic number.

102212021001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212021001220 is an abundant number, since it is smaller than the sum of its proper divisors (129175501701116).

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

102212021001220 is a wasteful number, since it uses less digits than its factorization.

102212021001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61061 (or 61059 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212021001220 its reverse (22100120212201), we get a palindrome (124312141213421).

The spelling of 102212021001220 in words is "one hundred two trillion, two hundred twelve billion, twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1231 2462 4924 5927 6155 11854 12310 16003 23708 24620 29635 32006 53881 59270 64012 77051 80015 107762 118540 154102 160030 215524 269405 308204 320060 385255 538810 700453 770510 1077620 1400906 1541020 2801812 3502265 7004530 7296137 14009060 14592274 29184548 36480685 66327511 72961370 94849781 132655022 145922740 189699562 265310044 319352687 331637555 379399124 474248905 638705374 663275110 862257643 948497810 1277410748 1326550220 1596763435 1724515286 1896995620 3193526870 3449030572 4151584931 4311288215 6387053740 8303169862 8622576430 16606339724 17245152860 20757924655 41515849310 83031698620 393123157697 786246315394 1572492630788 1965615788485 3931231576970 5110601050061 7862463153940 10221202100122 20442404200244 25553005250305 51106010500610 102212021001220