Search a number
-
+
13120411403412 = 22322943481289033
BaseRepresentation
bin1011111011101101010101…
…1101100000010010010100
31201110022002000210121011100
42332323111131200102110
53204431100304402122
643523233410510100
72522630011551555
oct276732535402224
951408060717140
1013120411403412
1141a9376209335
12157a9a7295330
13742332177651
14335061c6032c
1517b45a804aac
hexbeed5760494

13120411403412 has 72 divisors (see below), whose sum is σ = 34310029539240. Its totient is φ = 4222549416960.

The previous prime is 13120411403371. The next prime is 13120411403417. The reversal of 13120411403412 is 21430411402131.

It is a happy number.

13120411403412 is a `hidden beast` number, since 1 + 3 + 1 + 204 + 1 + 1 + 40 + 3 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2220469535376 + 10899941868036 = 1490124^2 + 3301506^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120411403417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45249648 + ... + 45538680.

It is an arithmetic number, because the mean of its divisors is an integer number (476528188045).

Almost surely, 213120411403412 is an apocalyptic number.

13120411403412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13120411403412 is an abundant number, since it is smaller than the sum of its proper divisors (21189618135828).

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

13120411403412 is a wasteful number, since it uses less digits than its factorization.

13120411403412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332553 (or 332548 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13120411403412 its reverse (21430411402131), we get a palindrome (34550822805543).

The spelling of 13120411403412 in words is "thirteen trillion, one hundred twenty billion, four hundred eleven million, four hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 43481 86962 130443 173924 260886 289033 391329 521772 578066 782658 867099 1156132 1260949 1565316 1734198 2521898 2601297 3468396 3782847 5043796 5202594 7565694 8381957 10405188 11348541 15131388 16763914 22697082 25145871 33527828 45394164 50291742 75437613 100583484 150875226 301750452 12567443873 25134887746 37702331619 50269775492 75404663238 113106994857 150809326476 226213989714 364455872317 452427979428 728911744634 1093367616951 1457823489268 2186735233902 3280102850853 4373470467804 6560205701706 13120411403412