Search a number
-
+
10131202992 = 2434117772897
BaseRepresentation
bin10010110111101110…
…11110001110110000
3222011001122102210110
421123313132032300
5131222041443432
64353150501320
7506026542651
oct113367361660
928131572713
1010131202992
114329888839
121b68b04840
13c55c37691
146c1757528
153e4677dcc
hex25bdde3b0

10131202992 has 80 divisors (see below), whose sum is σ = 26834969952. Its totient is φ = 3291709440.

The previous prime is 10131202987. The next prime is 10131202993. The reversal of 10131202992 is 29920213101.

It is a super-3 number, since 3×101312029923 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131202993) 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, 3495688 + ... + 3498584.

Almost surely, 210131202992 is an apocalyptic number.

10131202992 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 10131202992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417484976).

10131202992 is an abundant number, since it is smaller than the sum of its proper divisors (16703766960).

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

10131202992 is a wasteful number, since it uses less digits than its factorization.

10131202992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 10131202992 in words is "ten billion, one hundred thirty-one million, two hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1777 1968 2897 3554 5331 5794 7108 8691 10662 11588 14216 17382 21324 23176 28432 34764 42648 46352 69528 72857 85296 118777 139056 145714 218571 237554 291428 356331 437142 475108 582856 712662 874284 950216 1165712 1425324 1748568 1900432 2850648 3497136 5147969 5701296 10295938 15443907 20591876 30887814 41183752 61775628 82367504 123551256 211066729 247102512 422133458 633200187 844266916 1266400374 1688533832 2532800748 3377067664 5065601496 10131202992