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10101537150 = 2352194218419
BaseRepresentation
bin10010110100001100…
…10011100101111110
3222001222211020220120
421122012103211332
5131141443142100
64350210555410
7505216435425
oct113206234576
928058736816
1010101537150
114314066411
121b5ab98b66
13c4ca4b823
146bb8342bc
153e1c680a0
hex25a19397e

10101537150 has 96 divisors (see below), whose sum is σ = 26436105600. Its totient is φ = 2545603200.

The previous prime is 10101537101. The next prime is 10101537151. The reversal of 10101537150 is 5173510101.

It is a self number, because there is not a number n which added to its sum of digits gives 10101537150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101537151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195641 + ... + 1204059.

It is an arithmetic number, because the mean of its divisors is an integer number (275376100).

Almost surely, 210101537150 is an apocalyptic number.

10101537150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101537150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218052800).

10101537150 is an abundant number, since it is smaller than the sum of its proper divisors (16334568450).

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

10101537150 is a wasteful number, since it uses less digits than its factorization.

10101537150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 24.

The spelling of 10101537150 in words is "ten billion, one hundred one million, five hundred thirty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 421 475 570 842 950 1263 1425 2105 2526 2850 4210 6315 7999 8419 10525 12630 15998 16838 21050 23997 25257 31575 39995 42095 47994 50514 63150 79990 84190 119985 126285 159961 199975 210475 239970 252570 319922 399950 420950 479883 599925 631425 799805 959766 1199850 1262850 1599610 2399415 3544399 3999025 4798830 7088798 7998050 10633197 11997075 17721995 21266394 23994150 35443990 53165985 67343581 88609975 106331970 134687162 177219950 202030743 265829925 336717905 404061486 531659850 673435810 1010153715 1683589525 2020307430 3367179050 5050768575 10101537150