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102232012103102 = 27831371494579431
BaseRepresentation
bin10111001111101010111110…
…110001000001110110111110
3111101222021200200212101200102
4113033222332301001312332
5101344432130044244402
61001232423224201102
730351006364034060
oct2717527661016676
9441867620771612
10102232012103102
112a635397716012
12b5712ba009192
13450758bbb580b
141b360ad117730
15bc44512ee102
hex5cfabec41dbe

102232012103102 has 128 divisors (see below), whose sum is σ = 180272774707200. Its totient is φ = 42583589038080.

The previous prime is 102232012103099. The next prime is 102232012103113. The reversal of 102232012103102 is 201301210232201.

102232012103102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10839992327 + ... + 10840001757.

It is an arithmetic number, because the mean of its divisors is an integer number (1408381052400).

Almost surely, 2102232012103102 is an apocalyptic number.

102232012103102 is a deficient number, since it is larger than the sum of its proper divisors (78040762604098).

102232012103102 is a wasteful number, since it uses less digits than its factorization.

102232012103102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102232012103102 its reverse (201301210232201), we get a palindrome (303533222335303).

The spelling of 102232012103102 in words is "one hundred two trillion, two hundred thirty-two billion, twelve million, one hundred three thousand, one hundred two".

Divisors: 1 2 7 14 83 137 149 166 274 298 457 581 914 959 1043 1162 1918 2086 3199 6398 9431 11371 12367 18862 20413 22742 24734 37931 40826 62609 66017 68093 75862 79597 86569 125218 132034 136186 142891 159194 173138 265517 285782 438263 476651 531034 782773 876526 953302 1292047 1405219 1565546 1694279 2584094 2810438 3388558 4309967 5196547 5479411 5651719 8619934 9044329 9328741 9836533 10393094 10958822 11303438 11859953 18088658 18657482 19673066 23719906 30169769 36375829 39562033 60339538 65301187 72751658 79124066 107239901 116633177 130602374 192515003 214479802 233266354 357727261 385030006 590465479 642185083 715454522 750679307 774285503 816432239 1180930958 1284370166 1347605021 1501358614 1548571006 1632864478 2504090827 2695210042 4133258353 4495295581 5008181654 5419998521 8266516706 8990591162 10839997042 15978745249 31957490498 49008634757 53301361889 87979356371 98017269514 106602723778 111851216743 175958712742 223702433486 343060443299 373109533223 615855494597 686120886598 746219066446 1231710989194 7302286578793 14604573157586 51116006051551 102232012103102