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1004012332020 = 2232527312042419
BaseRepresentation
bin11101001110000111100…
…11000110001111110100
310112222112100100000021200
432213003303012033310
5112422204124111040
62045123100412500
7132352235004015
oct16470363061764
93488470300250
101004012332020
11357887872375
12142701847130
13738a76173b9
143684728b00c
151b1b3b25630
hexe9c3cc63f4

1004012332020 has 72 divisors (see below), whose sum is σ = 3046620726240. Its totient is φ = 267638454720.

The previous prime is 1004012332009. The next prime is 1004012332033. The reversal of 1004012332020 is 202332104001.

1004012332020 is a `hidden beast` number, since 10 + 0 + 401 + 233 + 2 + 0 + 20 = 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 = 1004012331984 and 1004012332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529630 + ... + 1512789.

Almost surely, 21004012332020 is an apocalyptic number.

1004012332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004012332020 is an abundant number, since it is smaller than the sum of its proper divisors (2042608394220).

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

1004012332020 is a wasteful number, since it uses less digits than its factorization.

1004012332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045165 (or 2045160 counting only the distinct ones).

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

Adding to 1004012332020 its reverse (202332104001), we get a palindrome (1206344436021).

The spelling of 1004012332020 in words is "one trillion, four billion, twelve million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2731 5462 8193 10924 13655 16386 24579 27310 32772 40965 49158 54620 81930 98316 122895 163860 245790 491580 2042419 4084838 6127257 8169676 10212095 12254514 18381771 20424190 24509028 30636285 36763542 40848380 61272570 73527084 91908855 122545140 183817710 367635420 5577846289 11155692578 16733538867 22311385156 27889231445 33467077734 50200616601 55778462890 66934155468 83667694335 100401233202 111556925780 167335388670 200802466404 251003083005 334670777340 502006166010 1004012332020