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1312233323130 = 233537131354687
BaseRepresentation
bin10011000110000111001…
…100110111101001111010
311122110002210111122202000
4103012013030313221322
5132444423212320010
62442455350121430
7163543236131442
oct23060714675172
94573083448660
101312233323130
114665735569a4
121923a0350276
13969876b2992
1447726181122
1524202dd37c0
hex13187337a7a

1312233323130 has 64 divisors (see below), whose sum is σ = 3593864263680. Its totient is φ = 340471346112.

The previous prime is 1312233323101. The next prime is 1312233323197. The reversal of 1312233323130 is 313233322131.

1312233323130 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 3 + 332 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1312233323094 and 1312233323103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65667354 + ... + 65687333.

It is an arithmetic number, because the mean of its divisors is an integer number (56154129120).

Almost surely, 21312233323130 is an apocalyptic number.

1312233323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312233323130 is an abundant number, since it is smaller than the sum of its proper divisors (2281630940550).

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

1312233323130 is a wasteful number, since it uses less digits than its factorization.

1312233323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131354740 (or 131354734 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1312233323130 its reverse (313233322131), we get a palindrome (1625466645261).

Subtracting from 1312233323130 its reverse (313233322131), we obtain a palindrome (999000000999).

The spelling of 1312233323130 in words is "one trillion, three hundred twelve billion, two hundred thirty-three million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 131354687 262709374 394064061 656773435 788128122 1182192183 1313546870 1970320305 2364384366 3546576549 3940640610 4860123419 5910960915 7093153098 9720246838 11821921830 14580370257 17732882745 24300617095 29160740514 35465765490 43741110771 48601234190 72901851285 87482221542 131223332313 145803702570 218705553855 262446664626 437411107710 656116661565 1312233323130