Search a number
-
+
31110221012013 = 32111384629285631
BaseRepresentation
bin1110001001011011010011…
…01011000001110000101101
311002011002220210101201211100
413010231221223001300231
513034202213034341023
6150055501020313313
76360432164315463
oct704555153016055
9132132823351740
1031110221012013
119a048527a0710
1235a54520a2839
1314488b1937c10
14797a580a8833
1538e3acc42c43
hex1c4b69ac1c2d

31110221012013 has 48 divisors (see below), whose sum is σ = 52793910973440. Its totient is φ = 17404052860800.

The previous prime is 31110221012011. The next prime is 31110221012021. The reversal of 31110221012013 is 31021012201113.

31110221012013 is a `hidden beast` number, since 311 + 1 + 0 + 221 + 0 + 120 + 13 = 666.

It is not a de Polignac number, because 31110221012013 - 21 = 31110221012011 is a prime.

It is a super-3 number, since 3×311102210120133 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31110221012011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108774708 + ... + 109060338.

It is an arithmetic number, because the mean of its divisors is an integer number (1099873145280).

Almost surely, 231110221012013 is an apocalyptic number.

31110221012013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31110221012013 is a deficient number, since it is larger than the sum of its proper divisors (21683689961427).

31110221012013 is a wasteful number, since it uses less digits than its factorization.

31110221012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370290 (or 370287 counting only the distinct ones).

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

Adding to 31110221012013 its reverse (31021012201113), we get a palindrome (62131233213126).

The spelling of 31110221012013 in words is "thirty-one trillion, one hundred ten billion, two hundred twenty-one million, twelve thousand, thirteen".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 84629 253887 285631 761661 856893 930919 1100177 2570679 2792757 3141941 3300531 3713203 8378271 9425823 9901593 11139609 12101947 28277469 33418827 36305841 40845233 108917523 122535699 367607097 24172665899 72517997697 217553993091 265899324889 314244656687 797697974667 942733970061 2393093924001 2828201910183 3456691223557 10370073670671 31110221012013