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190588407031 = 117110115116001
BaseRepresentation
bin1011000101111111110…
…1000100110011110111
3200012221102201020002001
42301133331010303313
511110311113011111
6223315523000131
716524646505311
oct2613775046367
9605842636061
10190588407031
11739122070a0
1230b2b809047
1314c844cb959
1493201687b1
154e570941c1
hex2c5ff44cf7

190588407031 has 32 divisors (see below), whose sum is σ = 214354086912. Its totient is φ = 168000000000.

The previous prime is 190588407019. The next prime is 190588407101. The reversal of 190588407031 is 130704885091.

It is a happy number.

It is a 12-Lehmer number, since φ(190588407031) divides (190588407031-1)12.

It is a cyclic number.

It is not a de Polignac number, because 190588407031 - 211 = 190588404983 is a prime.

It is a super-2 number, since 2×1905884070312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190588407001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11903031 + ... + 11919031.

It is an arithmetic number, because the mean of its divisors is an integer number (6698565216).

Almost surely, 2190588407031 is an apocalyptic number.

190588407031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

190588407031 is the 195238-th centered decagonal number.

190588407031 is a deficient number, since it is larger than the sum of its proper divisors (23765679881).

190588407031 is a wasteful number, since it uses less digits than its factorization.

190588407031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16335.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 190588407031 in words is "one hundred ninety billion, five hundred eighty-eight million, four hundred seven thousand, thirty-one".

Divisors: 1 11 71 101 151 781 1111 1661 7171 10721 15251 16001 78881 117931 167761 176011 1082821 1136071 1616101 2416151 11911031 12496781 17777111 26577661 114743171 171546721 244031251 1262174881 1887013931 2684343761 17326218821 190588407031