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31992000001 = 1317973734001
BaseRepresentation
bin11101110010110111…
…110010111000000001
310001120120120222122221
4131302313302320001
51011004423000001
622410311331041
72211535341013
oct356267627001
9101516528587
1031992000001
1112627717125
12624a080a81
13302ac9b020
141796c201b3
15c7395b1a1
hex772df2e01

31992000001 has 32 divisors (see below), whose sum is σ = 36963688608. Its totient is φ = 27426816000.

The previous prime is 31991999971. The next prime is 31992000011. The reversal of 31992000001 is 10000029913.

Adding to 31992000001 its reverse (10000029913), we get a palindrome (41992029914).

It can be written as a sum of positive squares in 16 ways, for example, as 14415604225 + 17576395776 = 120065^2 + 132576^2 .

It is a 3-Lehmer number, since φ(31992000001) divides (31992000001-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 31992000001 - 29 = 31991999489 is a prime.

It is a deceptive number, since it divides R31992000000.

It is a self number, because there is not a number n which added to its sum of digits gives 31992000001.

It is not an unprimeable number, because it can be changed into a prime (31992000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7994001 + ... + 7998001.

It is an arithmetic number, because the mean of its divisors is an integer number (1155115269).

It is a Poulet number, since it divides 231992000000-1.

Almost surely, 231992000001 is an apocalyptic number.

It is an amenable number.

31992000001 is a deficient number, since it is larger than the sum of its proper divisors (4971688607).

31992000001 is a wasteful number, since it uses less digits than its factorization.

31992000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 31992000001 in words is "thirty-one billion, nine hundred ninety-two million, one", and thus it is an aban number.

Divisors: 1 13 17 97 221 373 1261 1649 4001 4849 6341 21437 36181 52013 68017 82433 388097 470353 615077 884221 1492373 5045261 6597649 7996001 19400849 25370341 85769437 144760181 329814433 1881882353 2460923077 31992000001