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1002023122032 = 243229032397001
BaseRepresentation
bin11101001010011010011…
…10110111010001110000
310112210101201021200011200
432211031032313101300
5112404120404401112
62044153441011200
7132252032002002
oct16451516672160
93483351250150
101002023122032
11356a56a25479
12142247623b00
137364b47a37a
14366d9000372
151b0e9194cdc
hexe94d3b7470

1002023122032 has 60 divisors (see below), whose sum is σ = 2805240204624. Its totient is φ = 333892512000.

The previous prime is 1002023121997. The next prime is 1002023122097. The reversal of 1002023122032 is 2302213202001.

1002023122032 is a `hidden beast` number, since 100 + 202 + 312 + 20 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002023121996 and 1002023122014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780469 + ... + 1616532.

Almost surely, 21002023122032 is an apocalyptic number.

1002023122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002023122032 is an abundant number, since it is smaller than the sum of its proper divisors (1803217082592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002023122032 is a wasteful number, since it uses less digits than its factorization.

1002023122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399918 (or 2399909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1002023122032 its reverse (2302213202001), we get a palindrome (3304236324033).

The spelling of 1002023122032 in words is "one trillion, two billion, twenty-three million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2903 5806 8709 11612 17418 23224 26127 34836 46448 52254 69672 104508 139344 209016 418032 2397001 4794002 7191003 9588004 14382006 19176008 21573009 28764012 38352016 43146018 57528024 86292036 115056048 172584072 345168144 6958493903 13916987806 20875481709 27833975612 41750963418 55667951224 62626445127 83501926836 111335902448 125252890254 167003853672 250505780508 334007707344 501011561016 1002023122032