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1004301412020 = 2232537971469437
BaseRepresentation
bin11101001110101010000…
…01110110011010110100
310120000021111021210111100
432213111001312122310
5112423302130141040
62045211504410100
7132362345102604
oct16472501663264
93500244253440
101004301412020
11357a15a68465
12142782616930
137392249095a
143687381ac04
151b1ce1c8b30
hexe9d50766b4

1004301412020 has 72 divisors (see below), whose sum is σ = 3047185336104. Its totient is φ = 267742994688.

The previous prime is 1004301412001. The next prime is 1004301412027. The reversal of 1004301412020 is 202141034001.

1004301412020 is a `hidden beast` number, since 100 + 430 + 14 + 120 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108302860836 + 895998551184 = 329094^2 + 946572^2 .

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 = 1004301411984 and 1004301412002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004301412027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51259 + ... + 1418178.

It is an arithmetic number, because the mean of its divisors is an integer number (42322018557).

Almost surely, 21004301412020 is an apocalyptic number.

1004301412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004301412020 is an abundant number, since it is smaller than the sum of its proper divisors (2042883924084).

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

1004301412020 is a wasteful number, since it uses less digits than its factorization.

1004301412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473249 (or 1473244 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004301412020 its reverse (202141034001), we get a palindrome (1206442446021).

The spelling of 1004301412020 in words is "one trillion, four billion, three hundred one million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3797 7594 11391 15188 18985 22782 34173 37970 45564 56955 68346 75940 113910 136692 170865 227820 341730 683460 1469437 2938874 4408311 5877748 7347185 8816622 13224933 14694370 17633244 22041555 26449866 29388740 44083110 52899732 66124665 88166220 132249330 264498660 5579452289 11158904578 16738356867 22317809156 27897261445 33476713734 50215070601 55794522890 66953427468 83691784335 100430141202 111589045780 167383568670 200860282404 251075353005 334767137340 502150706010 1004301412020