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131133502590 = 23553697111831
BaseRepresentation
bin111101000100000101…
…0100111010001111110
3110112110220211010212020
41322020022213101332
54122030134040330
6140124130021010
712321416244426
oct1721012472176
9415426733766
10131133502590
1150682497432
12214b8417766
13c49a98581c
1464bdc49486
153627616210
hex1e882a747e

131133502590 has 64 divisors (see below), whose sum is σ = 320731633152. Its totient is φ = 34301321600.

The previous prime is 131133502583. The next prime is 131133502607. The reversal of 131133502590 is 95205331131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11077975 + ... + 11089805.

It is an arithmetic number, because the mean of its divisors is an integer number (5011431768).

Almost surely, 2131133502590 is an apocalyptic number.

131133502590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131133502590 is an abundant number, since it is smaller than the sum of its proper divisors (189598130562).

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

131133502590 is a wasteful number, since it uses less digits than its factorization.

131133502590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18865.

The product of its (nonzero) digits is 12150, while the sum is 33.

The spelling of 131133502590 in words is "one hundred thirty-one billion, one hundred thirty-three million, five hundred two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 6971 11831 13942 20913 23662 34855 35493 41826 59155 69710 70986 104565 118310 177465 209130 354930 369463 627043 738926 1108389 1254086 1847315 1881129 2216778 3135215 3694630 3762258 5541945 6270430 9405645 11083890 18811290 82473901 164947802 247421703 412369505 494843406 824739010 1237108515 2474217030 4371116753 8742233506 13113350259 21855583765 26226700518 43711167530 65566751295 131133502590