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31131021200 = 2452194199907
BaseRepresentation
bin11100111111100011…
…011010111110010000
32222100120111201210012
4130333203122332100
51002224020134300
622145033454052
72151312212516
oct347743327620
988316451705
1031131021200
1112225716aa4
126049871328
132c217b7806
1417147404b6
15c2308b435
hex73f8daf90

31131021200 has 120 divisors (see below), whose sum is σ = 80649733920. Its totient is φ = 11509171200.

The previous prime is 31131021199. The next prime is 31131021209. The reversal of 31131021200 is 212013113.

It is not an unprimeable number, because it can be changed into a prime (31131021209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261647 + ... + 361553.

It is an arithmetic number, because the mean of its divisors is an integer number (672081116).

Almost surely, 231131021200 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 31131021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40324866960).

31131021200 is an abundant number, since it is smaller than the sum of its proper divisors (49518712720).

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

31131021200 is a wasteful number, since it uses less digits than its factorization.

31131021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99985 (or 99974 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31131021200 its reverse (212013113), we get a palindrome (31343034313).

The spelling of 31131021200 in words is "thirty-one billion, one hundred thirty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 41 50 76 80 82 95 100 152 164 190 200 205 304 328 380 400 410 475 656 760 779 820 950 1025 1520 1558 1640 1900 2050 3116 3280 3800 3895 4100 6232 7600 7790 8200 12464 15580 16400 19475 31160 38950 62320 77900 99907 155800 199814 311600 399628 499535 799256 999070 1598512 1898233 1998140 2497675 3796466 3996280 4096187 4995350 7592932 7992560 8192374 9491165 9990700 15185864 16384748 18982330 19981400 20480935 30371728 32769496 37964660 39962800 40961870 47455825 65538992 75929320 77827553 81923740 94911650 102404675 151858640 155655106 163847480 189823300 204809350 311310212 327694960 379646600 389137765 409618700 622620424 759293200 778275530 819237400 1245240848 1556551060 1638474800 1945688825 3113102120 3891377650 6226204240 7782755300 15565510600 31131021200