Search a number
-
+
13112333311032 = 2332409445270759
BaseRepresentation
bin1011111011001111001111…
…1110000001110000111000
31201102112020001102222122200
42332303303332001300320
53204313024311423112
643515420041150200
72522222562112044
oct276636376016070
951375201388580
1013112333311032
1141a5a00352a2a
121579311a8b360
137416456c1527
143348d7069024
1517b136530cdc
hexbecf3f81c38

13112333311032 has 48 divisors (see below), whose sum is σ = 35599397262000. Its totient is φ = 4360091262336.

The previous prime is 13112333311013. The next prime is 13112333311057. The reversal of 13112333311032 is 23011333321131.

13112333311032 is a `hidden beast` number, since 1 + 3 + 1 + 12 + 333 + 311 + 0 + 3 + 2 = 666.

It is a super-3 number, since 3×131123333110323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13112333310987 and 13112333311005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222605932 + ... + 222664827.

It is an arithmetic number, because the mean of its divisors is an integer number (741654109625).

Almost surely, 213112333311032 is an apocalyptic number.

13112333311032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13112333311032 is an abundant number, since it is smaller than the sum of its proper divisors (22487063950968).

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

13112333311032 is a wasteful number, since it uses less digits than its factorization.

13112333311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445271180 (or 445271173 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13112333311032 its reverse (23011333321131), we get a palindrome (36123666632163).

The spelling of 13112333311032 in words is "thirteen trillion, one hundred twelve billion, three hundred thirty-three million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 409 818 1227 1636 2454 3272 3681 4908 7362 9816 14724 29448 445270759 890541518 1335812277 1781083036 2671624554 3562166072 4007436831 5343249108 8014873662 10686498216 16029747324 32059494648 182115740431 364231480862 546347221293 728462961724 1092694442586 1456925923448 1639041663879 2185388885172 3278083327758 4370777770344 6556166655516 13112333311032