Search a number
-
+
131040510336 = 2732615118493
BaseRepresentation
bin111101000001010011…
…1111000000110000000
3110112020102211122110200
41322002213320012000
54121332332312321
6140111004525200
712316206650121
oct1720247700600
9415212748420
10131040510336
1150634a51a2a
1221491250800
13c484626918
1464b1760048
15361e397d26
hex1e829f8180

131040510336 has 96 divisors (see below), whose sum is σ = 377164416720. Its totient is φ = 43670707200.

The previous prime is 131040510331. The next prime is 131040510383. The reversal of 131040510336 is 633015040131.

131040510336 is a `hidden beast` number, since 1 + 310 + 4 + 0 + 5 + 10 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131040510331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7076706 + ... + 7095198.

Almost surely, 2131040510336 is an apocalyptic number.

131040510336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131040510336 is an abundant number, since it is smaller than the sum of its proper divisors (246123906384).

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

131040510336 is a wasteful number, since it uses less digits than its factorization.

131040510336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24664 (or 24649 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 131040510336 its reverse (633015040131), we get a palindrome (764055550467).

The spelling of 131040510336 in words is "one hundred thirty-one billion, forty million, five hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 6151 12302 18453 18493 24604 36906 36986 49208 55359 55479 73812 73972 98416 110718 110958 147624 147944 166437 196832 221436 221916 295248 295888 332874 393664 442872 443832 590496 591776 665748 787328 885744 887664 1180992 1183552 1331496 1771488 1775328 2361984 2367104 2662992 3542976 3550656 5325984 7085952 7101312 10651968 21303936 113750443 227500886 341251329 455001772 682502658 910003544 1023753987 1365005316 1820007088 2047507974 2730010632 3640014176 4095015948 5460021264 7280028352 8190031896 10920042528 14560056704 16380063792 21840085056 32760127584 43680170112 65520255168 131040510336