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2137102975 = 527611071871
BaseRepresentation
bin111111101100001…
…1001101001111111
312111221100002011001
41333120121221333
513334044243400
6552021311131
7103650034630
oct17730315177
95457302131
102137102975
119a7380107
124b78654a7
132809abb97
14163b87887
15c7945a6a
hex7f619a7f

2137102975 has 48 divisors (see below), whose sum is σ = 3108658176. Its totient is φ = 1427184000.

The previous prime is 2137102969. The next prime is 2137102987. The reversal of 2137102975 is 5792017312.

It is not a de Polignac number, because 2137102975 - 221 = 2135005823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141290 + ... + 1143160.

It is an arithmetic number, because the mean of its divisors is an integer number (64763712).

Almost surely, 22137102975 is an apocalyptic number.

2137102975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2137102975 is a deficient number, since it is larger than the sum of its proper divisors (971555201).

2137102975 is a wasteful number, since it uses less digits than its factorization.

2137102975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 2137102975 is about 46228.8110922182. The cubic root of 2137102975 is about 1288.0769726818.

The spelling of 2137102975 in words is "two billion, one hundred thirty-seven million, one hundred two thousand, nine hundred seventy-five".

Divisors: 1 5 7 25 35 61 107 175 305 427 535 749 1525 1871 2135 2675 3745 6527 9355 10675 13097 18725 32635 45689 46775 65485 114131 163175 200197 228445 327425 570655 798917 1000985 1142225 1401379 2853275 3994585 5004925 7006895 12212017 19972925 35034475 61060085 85484119 305300425 427420595 2137102975