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31214230123131 = 3311409919279613
BaseRepresentation
bin1110001100011101000010…
…00110010011001001111011
311002112001101100220000122000
413012032201012103021323
513042403220402420011
6150215341440432043
76401103502215546
oct706164106231173
9132461340800560
1031214230123131
119a44976173290
12360163a618623
131455648c09153
1479cac377185d
15391e48e02356
hex1c63a119327b

31214230123131 has 64 divisors (see below), whose sum is σ = 50625792384000. Its totient is φ = 18850859447040.

The previous prime is 31214230123103. The next prime is 31214230123183. The reversal of 31214230123131 is 13132103241213.

31214230123131 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 42 + 301 + 2 + 313 + 1 = 666.

It is not a de Polignac number, because 31214230123131 - 26 = 31214230123067 is a prime.

It is a super-2 number, since 2×312142301231312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31214230123095 and 31214230123104.

It is not an unprimeable number, because it can be changed into a prime (31214230123831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111493881 + ... + 111773493.

It is an arithmetic number, because the mean of its divisors is an integer number (791028006000).

Almost surely, 231214230123131 is an apocalyptic number.

31214230123131 is a deficient number, since it is larger than the sum of its proper divisors (19411562260869).

31214230123131 is a wasteful number, since it uses less digits than its factorization.

31214230123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280961 (or 280955 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 31214230123131 its reverse (13132103241213), we get a palindrome (44346333364344).

The spelling of 31214230123131 in words is "thirty-one trillion, two hundred fourteen billion, two hundred thirty million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 409 919 1227 2757 3681 4499 8271 10109 11043 13497 24813 30327 40491 90981 121473 272943 279613 375871 838839 1127613 2516517 3075743 3382839 4134581 7549551 9227229 10148517 12403743 27681687 37211229 83045061 111633687 114361717 256964347 343085151 770893041 1029255453 1257978887 2312679123 2826607817 3087766359 3773936661 6938037369 8479823451 11321809983 25439470353 33965429949 76318411059 105098417923 315295253769 945885761307 1156082597153 2837657283921 3468247791459 10404743374377 31214230123131