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1224240413031 = 321719597990353
BaseRepresentation
bin10001110100001010011…
…010100011100101100111
311100000222102022200100200
4101310022122203211213
5130024221021204111
62334224104441543
7154306550546106
oct21641232434547
94300872280320
101224240413031
11432219885199
121793237792b3
138b5a364ab7c
1443379a6603d
1521ca2d6a256
hex11d0a6a3967

1224240413031 has 96 divisors (see below), whose sum is σ = 2029712256000. Its totient is φ = 706324230144.

The previous prime is 1224240413023. The next prime is 1224240413087. The reversal of 1224240413031 is 1303140424221.

1224240413031 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 240 + 413 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 1224240413031 - 23 = 1224240413023 is a prime.

It is a super-2 number, since 2×12242404130312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1224240412986 and 1224240413004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224240413131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13504351 + ... + 13594703.

It is an arithmetic number, because the mean of its divisors is an integer number (21142836000).

Almost surely, 21224240413031 is an apocalyptic number.

1224240413031 is a deficient number, since it is larger than the sum of its proper divisors (805471842969).

1224240413031 is a wasteful number, since it uses less digits than its factorization.

1224240413031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90533 (or 90530 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1224240413031 its reverse (1303140424221), we get a palindrome (2527380837252).

The spelling of 1224240413031 in words is "one trillion, two hundred twenty-four billion, two hundred forty million, four hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 17 19 51 57 59 79 153 171 177 237 323 531 711 969 1003 1121 1343 1501 2907 3009 3363 4029 4503 4661 9027 10089 12087 13509 13983 19057 25517 41949 57171 76551 79237 88559 90353 171513 229653 237711 265677 271059 713133 797031 813177 1505503 1536001 1716707 4516509 4608003 5150121 5330827 7137887 13549527 13824009 15450363 15992481 21413661 29184019 47977443 64240983 87552057 90624059 101285713 121344079 135619853 262656171 271872177 303857139 364032237 406859559 421135333 815616531 911571417 1092096711 1220578677 1263405999 1721857121 2305537501 3790217997 5165571363 6916612503 7159300661 8001571327 15496714089 20749837509 21477901983 24004713981 64433705949 72014141943 136026712559 408080137677 1224240413031