Search a number
-
+
10331131120 = 24537294331
BaseRepresentation
bin10011001111100100…
…01000110011110000
3222122222211211121221
421213302020303300
5132124232143440
64425051554424
7514005110542
oct114762106360
928588754557
1010331131120
1144217217a2
122003a5ba14
13c8849804b
1470011b692
15406ebad4a
hex267c88cf0

10331131120 has 60 divisors (see below), whose sum is σ = 24686873064. Its totient is φ = 4020721920.

The previous prime is 10331131093. The next prime is 10331131163. The reversal of 10331131120 is 2113113301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10331131094 and 10331131103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62355 + ... + 156685.

Almost surely, 210331131120 is an apocalyptic number.

10331131120 is a gapful number since it is divisible by the number (10) 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 10331131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343436532).

10331131120 is an abundant number, since it is smaller than the sum of its proper divisors (14355741944).

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

10331131120 is an equidigital number, since it uses as much as digits as its factorization.

10331131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94418 (or 94375 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10331131120 its reverse (2113113301), we get a palindrome (12444244421).

It can be divided in two parts, 103311 and 31120, that added together give a palindrome (134431).

The spelling of 10331131120 in words is "ten billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1369 1480 2738 2960 5476 6845 10952 13690 21904 27380 54760 94331 109520 188662 377324 471655 754648 943310 1509296 1886620 3490247 3773240 6980494 7546480 13960988 17451235 27921976 34902470 55843952 69804940 129139139 139609880 258278278 279219760 516556556 645695695 1033113112 1291391390 2066226224 2582782780 5165565560 10331131120