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1312006768820 = 2251140131486087
BaseRepresentation
bin10011000101111001101…
…100101000100010110100
311122102112000012111122122
4103011321230220202310
5132443442213100240
62442421054215112
7163534515346316
oct23057154504264
94572460174578
101312006768820
11466467687330
121923384b4498
139694c78bb87
14477040497b6
15241dd0814b5
hex13179b288b4

1312006768820 has 48 divisors (see below), whose sum is σ = 3006439244928. Its totient is φ = 476974162560.

The previous prime is 1312006768817. The next prime is 1312006768861. The reversal of 1312006768820 is 288676002131.

It is a super-2 number, since 2×13120067688202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 139817 + ... + 1625903.

It is an arithmetic number, because the mean of its divisors is an integer number (62634150936).

Almost surely, 21312006768820 is an apocalyptic number.

1312006768820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312006768820 is an abundant number, since it is smaller than the sum of its proper divisors (1694432476108).

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

1312006768820 is a wasteful number, since it uses less digits than its factorization.

1312006768820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490120 (or 1490118 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 1312006768820 in words is "one trillion, three hundred twelve billion, six million, seven hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4013 8026 16052 20065 40130 44143 80260 88286 176572 220715 441430 882860 1486087 2972174 5944348 7430435 14860870 16346957 29721740 32693914 65387828 81734785 163469570 326939140 5963667131 11927334262 23854668524 29818335655 59636671310 65600338441 119273342620 131200676882 262401353764 328001692205 656003384410 1312006768820