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153312141051 = 32127137979061
BaseRepresentation
bin1000111011001000011…
…1011001111011111011
3112122201120211201020100
42032302013121323323
510002440402003201
6154233003130443
714035134461106
oct2166207317373
9478646751210
10153312141051
115a023785803
1225867b13a23
13115c3822a34
1475c560b73d
153ec477e886
hex23b21d9efb

153312141051 has 24 divisors (see below), whose sum is σ = 224823965184. Its totient is φ = 100663032960.

The previous prime is 153312141041. The next prime is 153312141061. The reversal of 153312141051 is 150141213351.

153312141051 is a `hidden beast` number, since 1 + 533 + 1 + 21 + 4 + 105 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (153312141041) and next prime (153312141061).

It is not a de Polignac number, because 153312141051 - 25 = 153312141019 is a prime.

It is a super-2 number, since 2×1533121410512 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153312141041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332940 + ... + 646121.

It is an arithmetic number, because the mean of its divisors is an integer number (9367665216).

Almost surely, 2153312141051 is an apocalyptic number.

153312141051 is a deficient number, since it is larger than the sum of its proper divisors (71511824133).

153312141051 is a wasteful number, since it uses less digits than its factorization.

153312141051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979331 (or 979328 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 153312141051 in words is "one hundred fifty-three billion, three hundred twelve million, one hundred forty-one thousand, fifty-one".

Divisors: 1 3 9 127 137 381 411 1143 1233 17399 52197 156591 979061 2937183 8811549 124340747 134131357 373022241 402394071 1119066723 1207182213 17034682339 51104047017 153312141051