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2131766091 = 327132602889
BaseRepresentation
bin111111100010000…
…0010101101001011
312111120021221022200
41333010002231023
513331213003331
6551311051243
7103553466330
oct17704025513
95446257280
102131766091
119a4365464
124b5b10b23
1327c860970
14163198987
15c723e5e6
hex7f102b4b

2131766091 has 24 divisors (see below), whose sum is σ = 3789807840. Its totient is φ = 1124447616.

The previous prime is 2131766071. The next prime is 2131766129. The reversal of 2131766091 is 1906671312.

It is not a de Polignac number, because 2131766091 - 211 = 2131764043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131766011) 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, 1300626 + ... + 1302263.

It is an arithmetic number, because the mean of its divisors is an integer number (157908660).

Almost surely, 22131766091 is an apocalyptic number.

2131766091 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2131766091 is a deficient number, since it is larger than the sum of its proper divisors (1658041749).

2131766091 is a wasteful number, since it uses less digits than its factorization.

2131766091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602915 (or 2602912 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2131766091 is about 46171.0525221161. The cubic root of 2131766091 is about 1287.0038614468.

The spelling of 2131766091 in words is "two billion, one hundred thirty-one million, seven hundred sixty-six thousand, ninety-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 2602889 7808667 18220223 23426001 33837557 54660669 101512671 163982007 236862899 304538013 710588697 2131766091