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102022121231232 = 2731715628388669
BaseRepresentation
bin10111001100100111100000…
…010010111001001110000000
3111101020012221001011100201020
4113030213200102321032000
5101333012301013344412
61000552152050305440
730326566162045656
oct2714474022711600
9441205831140636
10102022121231232
112a56437a7a6444
12b5386a1b88280
1344c084c697747
141b29c7b59cdd6
15bbdc6987618c
hex5cc9e04b9380

102022121231232 has 64 divisors (see below), whose sum is σ = 286937215981200. Its totient is φ = 32006939992064.

The previous prime is 102022121231231. The next prime is 102022121231263. The reversal of 102022121231232 is 232132121220201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1020221212312322 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022121231231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7814187807 + ... + 7814200862.

Almost surely, 2102022121231232 is an apocalyptic number.

102022121231232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022121231232 is an abundant number, since it is smaller than the sum of its proper divisors (184915094749968).

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

102022121231232 is a wasteful number, since it uses less digits than its factorization.

102022121231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15628388703 (or 15628388691 counting only the distinct ones).

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

Adding to 102022121231232 its reverse (232132121220201), we get a palindrome (334154242451433).

The spelling of 102022121231232 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 15628388669 31256777338 46885166007 62513554676 93770332014 125027109352 187540664028 250054218704 265682607373 375081328056 500108437408 531365214746 750162656112 797047822119 1000216874816 1062730429492 1500325312224 1594095644238 2000433749632 2125460858984 3000650624448 3188191288476 4250921717968 6001301248896 6376382576952 8501843435936 12752765153904 17003686871872 25505530307808 34007373743744 51011060615616 102022121231232