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102023221122312 = 2337768297904321
BaseRepresentation
bin10111001100101000100001…
…110110101001010100001000
3111101020022202200210121121220
4113030220201312221110020
5101333022024101403222
61000552453141002040
730326635346006340
oct2714504166512410
9441208680717556
10102023221122312
112a564894646936
12b53894a3b3320
1344c099650a979
141b29d436add20
15bbdcd11d9b5c
hex5cca21da9508

102023221122312 has 64 divisors (see below), whose sum is σ = 291498748444800. Its totient is φ = 29149108654080.

The previous prime is 102023221122311. The next prime is 102023221122371. The reversal of 102023221122312 is 213221122320201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102023221122311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8955112 + ... + 16859432.

It is an arithmetic number, because the mean of its divisors is an integer number (4554667944450).

Almost surely, 2102023221122312 is an apocalyptic number.

102023221122312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102023221122312 is an abundant number, since it is smaller than the sum of its proper divisors (189475527322488).

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

102023221122312 is a wasteful number, since it uses less digits than its factorization.

102023221122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981166 (or 7981162 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102023221122312 its reverse (213221122320201), we get a palindrome (315244343442513).

The spelling of 102023221122312 in words is "one hundred two trillion, twenty-three billion, two hundred twenty-one million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 76829 153658 230487 307316 460974 537803 614632 921948 1075606 1613409 1843896 2151212 3226818 4302424 6453636 7904321 12907272 15808642 23712963 31617284 47425926 55330247 63234568 94851852 110660494 165990741 189703704 221320988 331981482 442641976 663962964 1327925928 607281078109 1214562156218 1821843234327 2429124312436 3643686468654 4250967546763 4858248624872 7287372937308 8501935093526 12752902640289 14574745874616 17003870187052 25505805280578 34007740374104 51011610561156 102023221122312