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131001130032 = 2433839677369
BaseRepresentation
bin111101000000001000…
…1101001110000110000
3110112010200201220211220
41322000101221300300
54121242242130112
6140103040505040
712315221142543
oct1720021516060
9415120656756
10131001130032
11506147a4a23
122148001b180
13c479419176
1464aa42c85a
15361abb998c
hex1e80469c30

131001130032 has 80 divisors (see below), whose sum is σ = 339700162560. Its totient is φ = 43502086656.

The previous prime is 131001130027. The next prime is 131001130079. The reversal of 131001130032 is 230031100131.

131001130032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1310011300322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001129993 and 131001130020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17773644 + ... + 17781012.

It is an arithmetic number, because the mean of its divisors is an integer number (4246252032).

Almost surely, 2131001130032 is an apocalyptic number.

131001130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131001130032 is an abundant number, since it is smaller than the sum of its proper divisors (208699032528).

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

131001130032 is a wasteful number, since it uses less digits than its factorization.

131001130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131001130032 its reverse (230031100131), we get a palindrome (361032230163).

The spelling of 131001130032 in words is "one hundred thirty-one billion, one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 383 766 967 1149 1532 1934 2298 2901 3064 3868 4596 5802 6128 7369 7736 9192 11604 14738 15472 18384 22107 23208 29476 44214 46416 58952 88428 117904 176856 353712 370361 740722 1111083 1481444 2222166 2822327 2962888 4444332 5644654 5925776 7125823 8466981 8888664 11289308 14251646 16933962 17777328 21377469 22578616 28503292 33867924 42754938 45157232 57006584 67735848 85509876 114013168 135471696 171019752 342039504 2729190209 5458380418 8187570627 10916760836 16375141254 21833521672 32750282508 43667043344 65500565016 131001130032