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31026500641100 = 22521632711702127
BaseRepresentation
bin1110000110111111010111…
…00011001010000101001100
311001212002211011202020101002
413003133223203022011030
513031314233131003400
6145553213322235432
76351406416024446
oct703375343120514
9131762734666332
1031026500641100
1199822a0830928
123591188355b78
131440a2bac92c3
147939951a9496
1538c10cd36ed5
hex1c37eb8ca14c

31026500641100 has 72 divisors (see below), whose sum is σ = 67765642387968. Its totient is φ = 12329894260800.

The previous prime is 31026500641099. The next prime is 31026500641109. The reversal of 31026500641100 is 114600562013.

It is a happy number.

It is a super-2 number, since 2×310265006411002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31026500641109) 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 23 ways as a sum of consecutive naturals, for example, 43838237 + ... + 44540363.

Almost surely, 231026500641100 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 31026500641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33882821193984).

31026500641100 is an abundant number, since it is smaller than the sum of its proper divisors (36739141746868).

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

31026500641100 is a wasteful number, since it uses less digits than its factorization.

31026500641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705015 (or 705008 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 31026500641100 in words is "thirty-one trillion, twenty-six billion, five hundred million, six hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 2711 3260 4075 5422 8150 10844 13555 16300 27110 54220 67775 135550 271100 441893 702127 883786 1404254 1767572 2209465 2808508 3510635 4418930 7021270 8837860 11047325 14042540 17553175 22094650 35106350 44189300 70212700 114446701 228893402 457786804 572233505 1144467010 1903466297 2288934020 2861167525 3806932594 5722335050 7613865188 9517331485 11444670100 19034662970 38069325940 47586657425 95173314850 190346629700 310265006411 620530012822 1241060025644 1551325032055 3102650064110 6205300128220 7756625160275 15513250320550 31026500641100