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102021220000212 = 223193712093553817
BaseRepresentation
bin10111001100100110101010…
…100100111110000111010100
3111101020010121020100002011120
4113030212222210332013110
5101333003424310001322
61000551522414003540
730326534636522202
oct2714465244760724
9441203536302146
10102021220000212
112a563a58003217
12b5384901a65b0
1344c0737a5c956
141b29bd3a02072
15bbdc156a4a5c
hex5cc9aa93e1d4

102021220000212 has 48 divisors (see below), whose sum is σ = 257350825247040. Its totient is φ = 31346491491072.

The previous prime is 102021220000187. The next prime is 102021220000247. The reversal of 102021220000212 is 212000022120201.

It is a super-3 number, since 3×1020212200002123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102021220000191 and 102021220000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6046768473 + ... + 6046785344.

It is an arithmetic number, because the mean of its divisors is an integer number (5361475525980).

Almost surely, 2102021220000212 is an apocalyptic number.

102021220000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021220000212 is an abundant number, since it is smaller than the sum of its proper divisors (155329605246828).

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

102021220000212 is a wasteful number, since it uses less digits than its factorization.

102021220000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12093553880 (or 12093553878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102021220000212 its reverse (212000022120201), we get a palindrome (314021242120413).

The spelling of 102021220000212 in words is "one hundred two trillion, twenty-one billion, two hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 8436 12093553817 24187107634 36280661451 48374215268 72561322902 145122645804 229777522523 447461491229 459555045046 689332567569 894922982458 919110090092 1342384473687 1378665135138 1789845964916 2684768947374 2757330270276 5369537894748 8501768333351 17003536666702 25505305000053 34007073333404 51010610000106 102021220000212