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31413545205 = 3571317513041
BaseRepresentation
bin11101010000011001…
…001010100011110101
310000002021010102212020
4131100121022203311
51003313331421310
622233045143353
72161312504620
oct352031124365
9100067112766
1031413545205
1112360144509
1261083bab59
132c681a6c93
141740084db7
15c3cc97170
hex75064a8f5

31413545205 has 64 divisors (see below), whose sum is σ = 57976528896. Its totient is φ = 14227200000.

The previous prime is 31413545143. The next prime is 31413545221. The reversal of 31413545205 is 50254531413.

It is not a de Polignac number, because 31413545205 - 219 = 31413020917 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10328485 + ... + 10331525.

It is an arithmetic number, because the mean of its divisors is an integer number (905883264).

Almost surely, 231413545205 is an apocalyptic number.

31413545205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31413545205 is a deficient number, since it is larger than the sum of its proper divisors (26562983691).

31413545205 is a wasteful number, since it uses less digits than its factorization.

31413545205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 31413545205 in words is "thirty-one billion, four hundred thirteen million, five hundred forty-five thousand, two hundred five".

Divisors: 1 3 5 7 15 21 35 105 131 393 655 751 917 1965 2253 2751 3041 3755 4585 5257 9123 11265 13755 15205 15771 21287 26285 45615 63861 78855 98381 106435 295143 319305 398371 491905 688667 1195113 1475715 1991855 2066001 2283791 2788597 3443335 5975565 6851373 8365791 10330005 11418955 13942985 15986537 34256865 41828955 47959611 79932685 239798055 299176621 897529863 1495883105 2094236347 4487649315 6282709041 10471181735 31413545205