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31131330102 = 23319110327509
BaseRepresentation
bin11100111111100100…
…100110011000110110
32222100121002102112000
4130333210212120312
51002224110030402
622145044240130
72151314640225
oct347744463066
988317072460
1031131330102
1112225908094
1260499a0046
132c218952b2
1417147c0cbc
15c230ecc1c
hex73f926636

31131330102 has 64 divisors (see below), whose sum is σ = 72890496000. Its totient is φ = 9821676384.

The previous prime is 31131330077. The next prime is 31131330107. The reversal of 31131330102 is 20103313113.

It is a happy number.

31131330102 is a `hidden beast` number, since 311 + 313 + 30 + 10 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131330107) 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, 1117924 + ... + 1145432.

It is an arithmetic number, because the mean of its divisors is an integer number (1138914000).

Almost surely, 231131330102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31131330102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36445248000).

31131330102 is an abundant number, since it is smaller than the sum of its proper divisors (41759165898).

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

31131330102 is a wasteful number, since it uses less digits than its factorization.

31131330102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28642 (or 28636 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31131330102 its reverse (20103313113), we get a palindrome (51234643215).

The spelling of 31131330102 in words is "thirty-one billion, one hundred thirty-one million, three hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1103 2206 3309 6618 9927 19854 20957 27509 29781 41914 55018 59562 62871 82527 125742 165054 188613 247581 377226 495162 522671 565839 742743 1045342 1131678 1485486 1568013 3136026 4704039 9408078 14112117 28224234 30342427 60684854 91027281 182054562 273081843 546163686 576506113 819245529 1153012226 1638491058 1729518339 3459036678 5188555017 10377110034 15565665051 31131330102