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31001120241 = 3713475345587
BaseRepresentation
bin11100110111110011…
…111000110111110001
32222000112002002011120
4130313303320313301
51001442241321431
622124113332453
72145144113520
oct346763706761
988015062146
1031001120241
1112169362533
126012267129
132c00905140
1417013a84b7
15c1697c196
hex737cf8df1

31001120241 has 64 divisors (see below), whose sum is σ = 52937515008. Its totient is φ = 15702006528.

The previous prime is 31001120237. The next prime is 31001120251. The reversal of 31001120241 is 14202110013.

It is not a de Polignac number, because 31001120241 - 22 = 31001120237 is a prime.

It is a super-2 number, since 2×310011202412 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31001120241.

It is not an unprimeable number, because it can be changed into a prime (31001120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657250 + ... + 702836.

It is an arithmetic number, because the mean of its divisors is an integer number (827148672).

Almost surely, 231001120241 is an apocalyptic number.

It is an amenable number.

31001120241 is a deficient number, since it is larger than the sum of its proper divisors (21936394767).

31001120241 is a wasteful number, since it uses less digits than its factorization.

31001120241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45710.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31001120241 its reverse (14202110013), we get a palindrome (45203230254).

The spelling of 31001120241 in words is "thirty-one billion, one million, one hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 39 47 53 91 141 159 273 329 371 611 689 987 1113 1833 2067 2491 4277 4823 7473 12831 14469 17437 32383 45587 52311 97149 136761 226681 319109 592631 680043 957327 1777893 2142589 2416111 4148417 6427767 7248333 12445251 14998123 16912777 27853657 31409443 44994369 50738331 83560971 94228329 113557217 194975599 219866101 340671651 584926797 659598303 794900519 1476243821 2384701557 4428731463 10333706747 31001120241