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1312130003220 = 223252937591131019
BaseRepresentation
bin10011000110000001000…
…010101111000100010100
311122102211121002110110200
4103012001002233010110
5132444220240100340
62442441215420500
7163540543001301
oct23060102570424
94572747073420
101312130003220
114665201a8143
12192371824730
139696c17903a
14477165680a8
15241e8cc5330
hex131810af114

1312130003220 has 576 divisors, whose sum is σ = 4342639392000. Its totient is φ = 319959908352.

The previous prime is 1312130003201. The next prime is 1312130003273. The reversal of 1312130003220 is 223000312131.

1312130003220 is a `hidden beast` number, since 1 + 312 + 1 + 30 + 0 + 0 + 322 + 0 = 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 = 1312130003193 and 1312130003202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1287663871 + ... + 1287664889.

It is an arithmetic number, because the mean of its divisors is an integer number (7539304500).

Almost surely, 21312130003220 is an apocalyptic number.

1312130003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312130003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171319696000).

1312130003220 is an abundant number, since it is smaller than the sum of its proper divisors (3030509388780).

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

1312130003220 is a wasteful number, since it uses less digits than its factorization.

1312130003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1312130003220 its reverse (223000312131), we get a palindrome (1535130315351).

The spelling of 1312130003220 in words is "one trillion, three hundred twelve billion, one hundred thirty million, three thousand, two hundred twenty".