Search a number
-
+
31011002012331 = 321119131125850721
BaseRepresentation
bin1110000110100010011111…
…10000100101001010101011
311001210121211001100022121100
413003101033300211022223
513031041013003343311
6145542131353012443
76350320352612025
oct703211760451253
9131717731308540
1031011002012331
1199767681a9720
12358a1819b4123
13143c42bb88353
14792d24a69015
1538ba0237aa56
hex1c344fc252ab

31011002012331 has 48 divisors (see below), whose sum is σ = 51830361348480. Its totient is φ = 17669441088000.

The previous prime is 31011002012323. The next prime is 31011002012533. The reversal of 31011002012331 is 13321020011013.

31011002012331 is a `hidden beast` number, since 31 + 0 + 1 + 100 + 201 + 2 + 331 = 666.

It is not a de Polignac number, because 31011002012331 - 23 = 31011002012323 is a prime.

It is a super-2 number, since 2×310110020123312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31011002012311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62678950 + ... + 63171771.

It is an arithmetic number, because the mean of its divisors is an integer number (1079799194760).

Almost surely, 231011002012331 is an apocalyptic number.

31011002012331 is a deficient number, since it is larger than the sum of its proper divisors (20819359336149).

31011002012331 is a wasteful number, since it uses less digits than its factorization.

31011002012331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125850888 (or 125850885 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31011002012331 its reverse (13321020011013), we get a palindrome (44332022023344).

The spelling of 31011002012331 in words is "thirty-one trillion, eleven billion, two million, twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 131 171 209 393 627 1179 1441 1881 2489 4323 7467 12969 22401 27379 82137 246411 125850721 377552163 1132656489 1384357931 2391163699 4153073793 7173491097 12459221379 16486444451 21520473291 26302800689 49459333353 78908402067 148378000059 181350888961 236725206201 313242444569 544052666883 939727333707 1632158000649 2819182001121 3445666890259 10337000670777 31011002012331