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10135321032 = 2334146122343
BaseRepresentation
bin10010111000001110…
…01011100111001000
3222011100101122200110
421130013023213020
5131224120233112
64353415034320
7506106543624
oct113407134710
928140348613
1010135321032
114331140781
121b6a36b9a0
13c56a49ba5
146c210a184
153e4bdd13c
hex25c1cb9c8

10135321032 has 64 divisors (see below), whose sum is σ = 26013778560. Its totient is φ = 3288742400.

The previous prime is 10135321003. The next prime is 10135321033. The reversal of 10135321032 is 23012353101.

It is not an unprimeable number, because it can be changed into a prime (10135321033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442453 + ... + 464795.

It is an arithmetic number, because the mean of its divisors is an integer number (406465290).

Almost surely, 210135321032 is an apocalyptic number.

10135321032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006889280).

10135321032 is an abundant number, since it is smaller than the sum of its proper divisors (15878457528).

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

10135321032 is a wasteful number, since it uses less digits than its factorization.

10135321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22854 (or 22850 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 10135321032 its reverse (23012353101), we get a palindrome (33147674133).

The spelling of 10135321032 in words is "ten billion, one hundred thirty-five million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 461 492 922 984 1383 1844 2766 3688 5532 11064 18901 22343 37802 44686 56703 67029 75604 89372 113406 134058 151208 178744 226812 268116 453624 536232 916063 1832126 2748189 3664252 5496378 7328504 10300123 10992756 20600246 21985512 30900369 41200492 61800738 82400984 123601476 247202952 422305043 844610086 1266915129 1689220172 2533830258 3378440344 5067660516 10135321032