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1310013424140 = 223537590096137
BaseRepresentation
bin10011000100000010111…
…000101000001000001100
311122020101002101002210220
4103010002320220020030
5132430401414033030
62441451210031340
7163434232243641
oct23040270501014
94566332332726
101310013424140
11465634475a33
12191a80a18550
13966c2804b95
1447595403dc8
1524123085a10
hex13102e2820c

1310013424140 has 48 divisors (see below), whose sum is σ = 3767173744992. Its totient is φ = 339895374336.

The previous prime is 1310013424127. The next prime is 1310013424141. The reversal of 1310013424140 is 414243100131.

It is a super-2 number, since 2×13100134241402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1310013424140.

It is not an unprimeable number, because it can be changed into a prime (1310013424141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295045849 + ... + 295050288.

It is an arithmetic number, because the mean of its divisors is an integer number (78482786354).

Almost surely, 21310013424140 is an apocalyptic number.

1310013424140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310013424140 is an abundant number, since it is smaller than the sum of its proper divisors (2457160320852).

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

1310013424140 is a wasteful number, since it uses less digits than its factorization.

1310013424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590096186 (or 590096184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1310013424140 its reverse (414243100131), we get a palindrome (1724256524271).

The spelling of 1310013424140 in words is "one trillion, three hundred ten billion, thirteen million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 590096137 1180192274 1770288411 2360384548 2950480685 3540576822 5900961370 7081153644 8851442055 11801922740 17702884110 21833557069 35405768220 43667114138 65500671207 87334228276 109167785345 131001342414 218335570690 262002684828 327503356035 436671141380 655006712070 1310013424140