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1002155332131 = 354124096017
BaseRepresentation
bin11101001010101010001…
…11001101001000100011
310112210201221001122100000
432211111013031020203
5112404403231112011
62044214522431043
7132255225526122
oct16452507151043
93483657048300
101002155332131
11357014616918
12142283962483
137366c98aab5
143670c7b7ab9
151b105aad356
hexe9551cd223

1002155332131 has 12 divisors (see below), whose sum is σ = 1501170950552. Its totient is φ = 668103554592.

The previous prime is 1002155332127. The next prime is 1002155332159. The reversal of 1002155332131 is 1312335512001.

1002155332131 is a `hidden beast` number, since 100 + 2 + 1 + 5 + 533 + 21 + 3 + 1 = 666.

It is not a de Polignac number, because 1002155332131 - 22 = 1002155332127 is a prime.

It is a super-2 number, since 2×10021553321312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002155332095 and 1002155332104.

It is not an unprimeable number, because it can be changed into a prime (1002155332111) 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 11 ways as a sum of consecutive naturals, for example, 2062047766 + ... + 2062048251.

Almost surely, 21002155332131 is an apocalyptic number.

1002155332131 is a deficient number, since it is larger than the sum of its proper divisors (499015618421).

1002155332131 is an frugal number, since it uses more digits than its factorization.

1002155332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124096032 (or 4124096020 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 1002155332131 in words is "one trillion, two billion, one hundred fifty-five million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 243 4124096017 12372288051 37116864153 111350592459 334051777377 1002155332131