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101520125532 = 22327756153281
BaseRepresentation
bin101111010001100010…
…0100010111001011100
3100201001010000201110100
41132203010202321130
53130403123004112
6114345424341100
710222522554240
oct1364304427134
9321033021410
10101520125532
113a0665119a1
1217812a74790
13975b72a2c7
144cb0cc2420
15299290c2dc
hex17a3122e5c

101520125532 has 72 divisors (see below), whose sum is σ = 293324656352. Its totient is φ = 29001369600.

The previous prime is 101520125489. The next prime is 101520125563. The reversal of 101520125532 is 235521025101.

101520125532 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 2 + 0 + 125 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101520125496 and 101520125505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1878732 + ... + 1932012.

Almost surely, 2101520125532 is an apocalyptic number.

101520125532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101520125532 is an abundant number, since it is smaller than the sum of its proper divisors (191804530820).

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

101520125532 is a wasteful number, since it uses less digits than its factorization.

101520125532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60859 (or 60854 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 101520125532 in words is "one hundred one billion, five hundred twenty million, one hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 7561 15122 22683 30244 45366 52927 53281 68049 90732 105854 106562 136098 158781 159843 211708 213124 272196 317562 319686 372967 476343 479529 635124 639372 745934 952686 959058 1118901 1491868 1905372 1918116 2237802 3356703 4475604 6713406 13426812 402857641 805715282 1208572923 1611430564 2417145846 2820003487 3625718769 4834291692 5640006974 7251437538 8460010461 11280013948 14502875076 16920020922 25380031383 33840041844 50760062766 101520125532