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10240131528 = 23321167192977
BaseRepresentation
bin10011000100101110…
…00000000111001000
3222102122121120122200
421202113000013020
5131432433202103
64412041320200
7511521452604
oct114227000710
928378546580
1010240131528
114385318420
121b99496060
13c72686133
146d1dd0504
153edee30a3
hex2625c01c8

10240131528 has 96 divisors (see below), whose sum is σ = 30706659360. Its totient is φ = 3056739840.

The previous prime is 10240131527. The next prime is 10240131547. The reversal of 10240131528 is 82513104201.

10240131528 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 131 + 528 = 666.

It is a super-2 number, since 2×102401315282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10240131527) 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, 43425 + ... + 149552.

It is an arithmetic number, because the mean of its divisors is an integer number (319861035).

Almost surely, 210240131528 is an apocalyptic number.

10240131528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10240131528 is an abundant number, since it is smaller than the sum of its proper divisors (20466527832).

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

10240131528 is a wasteful number, since it uses less digits than its factorization.

10240131528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193067 (or 193060 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10240131528 its reverse (82513104201), we get a palindrome (92753235729).

The spelling of 10240131528 in words is "ten billion, two hundred forty million, one hundred thirty-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 2211 2412 2948 4422 4824 5896 6633 8844 13266 17688 26532 53064 192977 385954 578931 771908 1157862 1543816 1736793 2122747 2315724 3473586 4245494 4631448 6368241 6947172 8490988 12736482 12929459 13894344 16981976 19104723 25472964 25858918 38209446 38788377 50945928 51717836 76418892 77576754 103435672 116365131 142224049 152837784 155153508 232730262 284448098 310307016 426672147 465460524 568896196 853344294 930921048 1137792392 1280016441 1706688588 2560032882 3413377176 5120065764 10240131528