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31416727100 = 22521159484079
BaseRepresentation
bin11101010000100101…
…010011011000111100
310000002111010002121012
4131100211103120330
51003320140231400
622233241254352
72161351526363
oct352045233074
9100074102535
1031416727100
1112361a18080
1261094943b8
132c68a4c365
1417406727da
15c3d1c4d35
hex75095363c

31416727100 has 72 divisors (see below), whose sum is σ = 75632659200. Its totient is φ = 11230609600.

The previous prime is 31416727061. The next prime is 31416727103. The reversal of 31416727100 is 172761413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31416727103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177140 + ... + 306939.

It is an arithmetic number, because the mean of its divisors is an integer number (1050453600).

Almost surely, 231416727100 is an apocalyptic number.

It is an amenable number.

31416727100 is an abundant number, since it is smaller than the sum of its proper divisors (44215932100).

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

31416727100 is a wasteful number, since it uses less digits than its factorization.

31416727100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484163 (or 484156 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 31416727100 in words is "thirty-one billion, four hundred sixteen million, seven hundred twenty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 64900 484079 968158 1936316 2420395 4840790 5324869 9681580 10649738 12101975 21299476 24203950 26624345 28560661 48407900 53248690 57121322 106497380 114242644 133121725 142803305 266243450 285606610 314167271 532486900 571213220 628334542 714016525 1256669084 1428033050 1570836355 2856066100 3141672710 6283345420 7854181775 15708363550 31416727100