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31301434242 = 23213404933037
BaseRepresentation
bin11101001001101101…
…011111101110000010
32222210110011121112100
4131021231133232002
51003101131343432
622214002211230
72155451541531
oct351155375602
988713147470
1031301434242
1112302930921
126096953b16
132c4abb2b30
14172d220318
15c32eee07c
hex749b5fb82

31301434242 has 48 divisors (see below), whose sum is σ = 73056929400. Its totient is φ = 9628540416.

The previous prime is 31301434237. The next prime is 31301434243. The reversal of 31301434242 is 24243410313.

31301434242 is a `hidden beast` number, since 313 + 0 + 1 + 4 + 342 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6554683521 + 24746750721 = 80961^2 + 157311^2 .

It is a super-2 number, since 2×313014342422 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31301434243) 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, 930948 + ... + 963984.

Almost surely, 231301434242 is an apocalyptic number.

31301434242 is an abundant number, since it is smaller than the sum of its proper divisors (41755495158).

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

31301434242 is a wasteful number, since it uses less digits than its factorization.

31301434242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37107 (or 37104 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31301434242 its reverse (24243410313), we get a palindrome (55544844555).

The spelling of 31301434242 in words is "thirty-one billion, three hundred one million, four hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4049 8098 12147 24294 33037 36441 52637 66074 72882 99111 105274 157911 198222 297333 315822 429481 473733 594666 858962 947466 1288443 2576886 3865329 7730658 133766813 267533626 401300439 802600878 1203901317 1738968569 2407802634 3477937138 5216905707 10433811414 15650717121 31301434242