Search a number
-
+
31313200213107 = 3371145911195669
BaseRepresentation
bin1110001111010101011000…
…01011001110110001110011
311002212111211202120111221000
413013222230023032301303
513101013413223304412
6150333030253133043
76411206202131121
oct707525413166163
9132774752514830
1031313200213107
119a8294320677a
12361885b48a183
131461a8c238677
147a37d1ada911
153947dc9ed4dc
hex1c7aac2cec73

31313200213107 has 32 divisors (see below), whose sum is σ = 47075553216000. Its totient is φ = 20567337769440.

The previous prime is 31313200213093. The next prime is 31313200213123. The reversal of 31313200213107 is 70131200231313.

It is a happy number.

31313200213107 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 320 + 0 + 21 + 310 + 7 = 666.

It is not a de Polignac number, because 31313200213107 - 24 = 31313200213091 is a prime.

It is a super-2 number, since 2×313132002131072 (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31313200213157) 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, 2800932 + ... + 8394737.

It is an arithmetic number, because the mean of its divisors is an integer number (1471111038000).

Almost surely, 231313200213107 is an apocalyptic number.

31313200213107 is a deficient number, since it is larger than the sum of its proper divisors (15762353002893).

31313200213107 is a wasteful number, since it uses less digits than its factorization.

31313200213107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197208 (or 11197202 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 31313200213107 in words is "thirty-one trillion, three hundred thirteen billion, two hundred million, two hundred thirteen thousand, one hundred seven".

Divisors: 1 3 9 27 71 213 639 1459 1917 4377 13131 39393 103589 310767 932301 2796903 11195669 33587007 100761021 302283063 794892499 2384677497 7154032491 16334481071 21462097473 49003443213 147010329639 441030988917 1159748156041 3479244468123 10437733404369 31313200213107