Search a number
-
+
31405540501231 = 132631971303299
BaseRepresentation
bin1110010010000001011000…
…00101011110011011101111
311010012100012010010011211021
413021000230011132123233
513104022021332014411
6150443301154035011
76420655366464121
oct711005405363357
9133170163104737
1031405540501231
11a009018965986
12363272bb78a67
13146a6b6b6a800
147a8071753211
15396de4558a71
hex1c902c15e6ef

31405540501231 has 24 divisors (see below), whose sum is σ = 34096267785600. Its totient is φ = 28913883616800.

The previous prime is 31405540501219. The next prime is 31405540501319. The reversal of 31405540501231 is 13210504550413.

It is not a de Polignac number, because 31405540501231 - 225 = 31405506946799 is a prime.

It is a super-2 number, since 2×314055405012312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31405540501211) 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 23 ways as a sum of consecutive naturals, for example, 103394820 + ... + 103698118.

It is an arithmetic number, because the mean of its divisors is an integer number (1420677824400).

Almost surely, 231405540501231 is an apocalyptic number.

31405540501231 is a deficient number, since it is larger than the sum of its proper divisors (2690727284369).

31405540501231 is a wasteful number, since it uses less digits than its factorization.

31405540501231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304927 (or 304914 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 31405540501231 in words is "thirty-one trillion, four hundred five billion, five hundred forty million, five hundred one thousand, two hundred thirty-one".

Divisors: 1 13 169 631 971 8203 12623 106639 164099 303299 612701 3942887 7965113 51257531 103546469 191381669 294503329 2487961697 3828543277 32343502061 49771062601 185831600599 2415810807787 31405540501231