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32013131000 = 2353173211877
BaseRepresentation
bin11101110100001000…
…011001110011111000
310001122001100112221112
4131310020121303320
51011030330143000
622412344255452
72212213060304
oct356410316370
9101561315845
1032013131000
111263863a164
126255171588
133032489186
141799960d04
15c75732235
hex774219cf8

32013131000 has 128 divisors (see below), whose sum is σ = 75787133760. Its totient is φ = 12656448000.

The previous prime is 32013130949. The next prime is 32013131081. The reversal of 32013131000 is 13131023.

It is a super-2 number, since 2×320131310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36502562 + ... + 36503438.

Almost surely, 232013131000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37893566880).

32013131000 is an abundant number, since it is smaller than the sum of its proper divisors (43774002760).

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

32013131000 is a wasteful number, since it uses less digits than its factorization.

32013131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 32013131000 its reverse (13131023), we get a palindrome (32026262023).

The spelling of 32013131000 in words is "thirty-two billion, thirteen million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 211 250 346 422 500 692 844 865 877 1000 1055 1384 1688 1730 1754 2110 3460 3508 4220 4325 4385 5275 6920 7016 8440 8650 8770 10550 17300 17540 21100 21625 21925 26375 34600 35080 36503 42200 43250 43850 52750 73006 86500 87700 105500 109625 146012 151721 173000 175400 182515 185047 211000 219250 292024 303442 365030 370094 438500 606884 730060 740188 758605 877000 912575 925235 1213768 1460120 1480376 1517210 1825150 1850470 3034420 3650300 3700940 3793025 4562875 4626175 6068840 7300600 7401880 7586050 9125750 9252350 15172100 18251500 18504700 18965125 23130875 30344200 32013131 36503000 37009400 37930250 46261750 64026262 75860500 92523500 128052524 151721000 160065655 185047000 256105048 320131310 640262620 800328275 1280525240 1600656550 3201313100 4001641375 6402626200 8003282750 16006565500 32013131000