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32300101988 = 227112632831409
BaseRepresentation
bin11110000101001111…
…000111000101100100
310002101001100012010122
4132011033013011210
51012122311230423
622501035141112
72222266223360
oct360517070544
9102331305118
1032300101988
1112775624770
1263152a4798
133079a747ab
1417c5b022a0
15c90a1a8c8
hex7853c7164

32300101988 has 96 divisors (see below), whose sum is σ = 71041259520. Its totient is φ = 12483440640.

The previous prime is 32300101937. The next prime is 32300101993. The reversal of 32300101988 is 88910100323.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22923428 + ... + 22924836.

It is an arithmetic number, because the mean of its divisors is an integer number (740013120).

Almost surely, 232300101988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32300101988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35520629760).

32300101988 is an abundant number, since it is smaller than the sum of its proper divisors (38741157532).

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

32300101988 is a wasteful number, since it uses less digits than its factorization.

32300101988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 32300101988 in words is "thirty-two billion, three hundred million, one hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 263 283 308 526 566 1052 1132 1409 1841 1981 2818 2893 3113 3682 3962 5636 5786 6226 7364 7924 9863 11572 12452 15499 19726 20251 21791 30998 39452 40502 43582 61996 74429 81004 87164 108493 148858 216986 297716 370567 398747 433972 521003 741134 797494 818719 1042006 1482268 1594988 1637438 2084012 2593969 2791229 3274876 4076237 4386217 5187938 5582458 5731033 8152474 8772434 10375876 11164916 11462066 16304948 17544868 22924132 28533659 30703519 57067318 61407038 104870461 114134636 122814076 209740922 419481844 734093227 1153575071 1468186454 2307150142 2936372908 4614300284 8075025497 16150050994 32300101988