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151008010901 = 1143907351991
BaseRepresentation
bin1000110010100011000…
…1110110001010010101
3112102210000012202212122
42030220301312022111
54433231022322101
6153212213425325
713624055625356
oct2145061661225
9472700182778
10151008010901
11590510a3710
122532433b245
1311317362a07
1474475c5d2d
153ddc34451b
hex2328c76295

151008010901 has 16 divisors (see below), whose sum is σ = 168753412608. Its totient is φ = 133939234800.

The previous prime is 151008010891. The next prime is 151008010949. The reversal of 151008010901 is 109010800151.

It is a cyclic number.

It is not a de Polignac number, because 151008010901 - 218 = 151007748757 is a prime.

It is a super-3 number, since 3×1510080109013 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151008010961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 253016 + ... + 605006.

It is an arithmetic number, because the mean of its divisors is an integer number (10547088288).

Almost surely, 2151008010901 is an apocalyptic number.

151008010901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

151008010901 is a deficient number, since it is larger than the sum of its proper divisors (17745401707).

151008010901 is a wasteful number, since it uses less digits than its factorization.

151008010901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352952.

The product of its (nonzero) digits is 360, while the sum is 26.

The spelling of 151008010901 in words is "one hundred fifty-one billion, eight million, ten thousand, nine hundred one".

Divisors: 1 11 43 473 907 9977 39001 351991 429011 3871901 15135613 166491743 319255837 3511814207 13728000991 151008010901