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131012322001000 = 23531111910211091
BaseRepresentation
bin11101110010011110101110…
…111010100000000001101000
3122011212122200222110012221021
4131302132232322200001220
5114133001213413013000
61142350121351422224
736411220320555616
oct3562365672400150
9564778628405837
10131012322001000
1138821017315920
121283b095684974
13581454161747b
14244d05ccc26b6
151022de798811a
hex7727aeea0068

131012322001000 has 64 divisors (see below), whose sum is σ = 334438727463360. Its totient is φ = 47640844360000.

The previous prime is 131012322000971. The next prime is 131012322001009. The reversal of 131012322001000 is 100223210131.

It is not an unprimeable number, because it can be changed into a prime (131012322001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5955094546 + ... + 5955116545.

It is an arithmetic number, because the mean of its divisors is an integer number (5225605116615).

Almost surely, 2131012322001000 is an apocalyptic number.

131012322001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012322001000 is an abundant number, since it is smaller than the sum of its proper divisors (203426405462360).

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

131012322001000 is a wasteful number, since it uses less digits than its factorization.

131012322001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11910211123 (or 11910211109 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131012322001000 its reverse (100223210131), we get a palindrome (131112545211131).

The spelling of 131012322001000 in words is "one hundred thirty-one trillion, twelve billion, three hundred twenty-two million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 11910211091 23820422182 47640844364 59551055455 95281688728 119102110910 131012322001 238204221820 262024644002 297755277275 476408443640 524049288004 595510554550 655061610005 1048098576008 1191021109100 1310123220010 1488776386375 2382042218200 2620246440020 2977552772750 3275308050025 5240492880040 5955105545500 6550616100050 11910211091000 13101232200100 16376540250125 26202464400200 32753080500250 65506161000500 131012322001000