Search a number
-
+
31332102123213 = 3271401122276867
BaseRepresentation
bin1110001111111000100101…
…10100010010111011001101
311002221022122001212001000200
413013330102310102323031
513101321121120420323
6150345434034444113
76412445461535553
oct707742264227315
9132838561761020
1031332102123213
119a8a962905591
123620455733639
1314637b2280b68
147a46a621dbd3
1539504715e443
hex1c7f12d12ecd

31332102123213 has 24 divisors (see below), whose sum is σ = 46009361676096. Its totient is φ = 20542513488000.

The previous prime is 31332102123191. The next prime is 31332102123221. The reversal of 31332102123213 is 31232120123313.

31332102123213 is a `hidden beast` number, since 3 + 1 + 3 + 321 + 0 + 2 + 12 + 321 + 3 = 666.

It is not a de Polignac number, because 31332102123213 - 216 = 31332102057677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31332102125213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60882195 + ... + 61394672.

It is an arithmetic number, because the mean of its divisors is an integer number (1917056736504).

Almost surely, 231332102123213 is an apocalyptic number.

It is an amenable number.

31332102123213 is a deficient number, since it is larger than the sum of its proper divisors (14677259552883).

31332102123213 is a wasteful number, since it uses less digits than its factorization.

31332102123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122277345 (or 122277342 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31332102123213 its reverse (31232120123313), we get a palindrome (62564222246526).

The spelling of 31332102123213 in words is "thirty-one trillion, three hundred thirty-two billion, one hundred two million, one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 71 213 401 639 1203 3609 28471 85413 256239 122276867 366830601 1100491803 8681657557 26044972671 49033023667 78134918013 147099071001 441297213003 3481344680357 10444034041071 31332102123213