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31202103114 = 232713101188603
BaseRepresentation
bin11101000011110010…
…100100111101001010
32222112112021001211200
4131003302210331022
51002400214244424
622200053205030
72153134333440
oct350362447512
988475231750
1031202103114
1112261856986
126069630776
132c33444910
14171dd64b90
15c2942c8c9
hex743ca4f4a

31202103114 has 96 divisors (see below), whose sum is σ = 84029871744. Its totient is φ = 8147606400.

The previous prime is 31202103113. The next prime is 31202103133. The reversal of 31202103114 is 41130120213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31202103113) 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, 71137 + ... + 259739.

It is an arithmetic number, because the mean of its divisors is an integer number (875311164).

Almost surely, 231202103114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31202103114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014935872).

31202103114 is an abundant number, since it is smaller than the sum of its proper divisors (52827768630).

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

31202103114 is a wasteful number, since it uses less digits than its factorization.

31202103114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188732 (or 188729 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31202103114 its reverse (41130120213), we get a palindrome (72332223327).

The spelling of 31202103114 in words is "thirty-one billion, two hundred two million, one hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 101 117 126 182 202 234 273 303 546 606 707 819 909 1313 1414 1638 1818 2121 2626 3939 4242 6363 7878 9191 11817 12726 18382 23634 27573 55146 82719 165438 188603 377206 565809 1131618 1320221 1697427 2451839 2640442 3394854 3960663 4903678 7355517 7921326 11881989 14711034 17162873 19048903 22066551 23763978 34325746 38097806 44133102 51488619 57146709 102977238 114293418 133342321 154465857 171440127 247635739 266684642 308931714 342880254 400026963 495271478 742907217 800053926 1200080889 1485814434 1733450173 2228721651 2400161778 3466900346 4457443302 5200350519 10400701038 15601051557 31202103114