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2102122212012 = 2232292542379201
BaseRepresentation
bin11110100101110000001…
…111110110101010101100
321102221221111210201210200
4132211300033312222230
5233420121241241022
64245411314233500
7304605355661424
oct36456017665254
97387844721720
102102122212012
11740561206209
1229b4a4585890
131232c993ab64
1473a596dd484
1539a336babac
hex1e9703f6aac

2102122212012 has 72 divisors (see below), whose sum is σ = 5497214399040. Its totient is φ = 676509926400.

The previous prime is 2102122212007. The next prime is 2102122212023.

It is a happy number.

2102122212012 is a `hidden beast` number, since 210 + 212 + 221 + 20 + 1 + 2 = 666.

2102122212012 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26502012 + ... + 26581212.

Almost surely, 22102122212012 is an apocalyptic number.

It is an amenable number.

2102122212012 is an abundant number, since it is smaller than the sum of its proper divisors (3395092187028).

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

2102122212012 is a wasteful number, since it uses less digits than its factorization.

2102122212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104663 (or 104658 counting only the distinct ones).

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

The spelling of 2102122212012 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 25423 50846 76269 79201 101692 152538 158402 228807 237603 305076 316804 457614 475206 712809 737267 915228 950412 1425618 1474534 2211801 2296829 2851236 2949068 4423602 4593658 6635403 6890487 8847204 9187316 13270806 13780974 20671461 26541612 27561948 41342922 82685844 2013527023 4027054046 6040581069 8054108092 12081162138 18121743207 24162324276 36243486414 58392283667 72486972828 116784567334 175176851001 233569134668 350353702002 525530553003 700707404004 1051061106006 2102122212012