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13120130110410 = 2335209392320697
BaseRepresentation
bin1011111011101100010010…
…1100011101001111001010
31201110021100102111102201000
42332323010230131033022
53204430011302013120
643523145441435430
72522620024604421
oct276730454351712
951407312442630
1013120130110410
1141a9241451784
12157a92903bb76
137422b8ac959b
1433503675a2b8
1517b440c8d990
hexbeec4b1d3ca

13120130110410 has 64 divisors (see below), whose sum is σ = 34988699606400. Its totient is φ = 3498532765056.

The previous prime is 13120130110393. The next prime is 13120130110411. The reversal of 13120130110410 is 1401103102131.

It is a happy number.

13120130110410 is a `hidden beast` number, since 1 + 3 + 12 + 0 + 130 + 110 + 410 = 666.

It is a super-2 number, since 2×131201301104102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13120130110411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4493182 + ... + 6813878.

It is an arithmetic number, because the mean of its divisors is an integer number (546698431350).

Almost surely, 213120130110410 is an apocalyptic number.

13120130110410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13120130110410 is an abundant number, since it is smaller than the sum of its proper divisors (21868569495990).

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

13120130110410 is a wasteful number, since it uses less digits than its factorization.

13120130110410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341652 (or 2341646 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13120130110410 its reverse (1401103102131), we get a palindrome (14521233212541).

The spelling of 13120130110410 in words is "thirteen trillion, one hundred twenty billion, one hundred thirty million, one hundred ten thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 20939 41878 62817 104695 125634 188451 209390 314085 376902 565353 628170 942255 1130706 1884510 2320697 2826765 4641394 5653530 6962091 11603485 13924182 20886273 23206970 34810455 41772546 62658819 69620910 104431365 125317638 208862730 313294095 626588190 48593074483 97186148966 145779223449 242965372415 291558446898 437337670347 485930744830 728896117245 874675340694 1312013011041 1457792234490 2186688351735 2624026022082 4373376703470 6560065055205 13120130110410