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31421312013 = 37133717317981
BaseRepresentation
bin11101010000110110…
…110010110000001101
310000002210202000220210
4131100312302300031
51003322323441023
622233523433033
72161435513440
oct352066626015
9100083660823
1031421312013
1112364569863
12610ab25779
132c69996220
141741107657
15c3d7cd593
hex750db2c0d

31421312013 has 64 divisors (see below), whose sum is σ = 53265848832. Its totient is φ = 16031831040.

The previous prime is 31421312011. The next prime is 31421312053. The reversal of 31421312013 is 31021312413.

It is not a de Polignac number, because 31421312013 - 21 = 31421312011 is a prime.

It is a super-2 number, since 2×314213120132 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421312011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1738483 + ... + 1756463.

It is an arithmetic number, because the mean of its divisors is an integer number (832278888).

Almost surely, 231421312013 is an apocalyptic number.

It is an amenable number.

31421312013 is a deficient number, since it is larger than the sum of its proper divisors (21844536819).

31421312013 is a wasteful number, since it uses less digits than its factorization.

31421312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18214.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31421312013 its reverse (31021312413), we get a palindrome (62442624426).

The spelling of 31421312013 in words is "thirty-one billion, four hundred twenty-one million, three hundred twelve thousand, thirteen".

Divisors: 1 3 7 13 21 37 39 91 111 173 259 273 481 519 777 1211 1443 2249 3367 3633 6401 6747 10101 15743 17981 19203 44807 47229 53943 83213 125867 134421 233753 249639 377601 582491 665297 701259 1636271 1747473 1995891 3110713 4657079 4908813 8648861 9332139 13971237 21774991 25946583 40439269 60542027 65324973 115096381 121317807 181626081 283074883 345289143 805674667 849224649 1496252953 2417024001 4488758859 10473770671 31421312013