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101520331992 = 2335192748547
BaseRepresentation
bin101111010001100010…
…1010101010011011000
3100201001010102012200000
41132203011111103120
53130403201110432
6114345433013000
710222524404202
oct1364305252330
9321033365600
10101520331992
113a066643022
1217812b54160
13975b7a0281
144cb0d37772
15299294d57c
hex17a31554d8

101520331992 has 96 divisors (see below), whose sum is σ = 300141441600. Its totient is φ = 32059040544.

The previous prime is 101520331963. The next prime is 101520331993. The reversal of 101520331992 is 299133025101.

101520331992 is a `hidden beast` number, since 1 + 0 + 1 + 520 + 33 + 19 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101520331993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337338 + ... + 1411209.

It is an arithmetic number, because the mean of its divisors is an integer number (3126473350).

Almost surely, 2101520331992 is an apocalyptic number.

101520331992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101520331992 is an abundant number, since it is smaller than the sum of its proper divisors (198621109608).

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

101520331992 is a wasteful number, since it uses less digits than its factorization.

101520331992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748587 (or 2748571 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 101520331992 in words is "one hundred one billion, five hundred twenty million, three hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 4104 4617 6156 9234 12312 18468 36936 2748547 5497094 8245641 10994188 16491282 21988376 24736923 32982564 49473846 52222393 65965128 74210769 98947692 104444786 148421538 156667179 197895384 208889572 222632307 296843076 313334358 417779144 445264614 470001537 593686152 626668716 667896921 890529228 940003074 1253337432 1335793842 1410004611 1781058456 1880006148 2671587684 2820009222 3760012296 4230013833 5343175368 5640018444 8460027666 11280036888 12690041499 16920055332 25380082998 33840110664 50760165996 101520331992