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1240013313 = 337111494003
BaseRepresentation
bin100100111101001…
…0001101000000001
310012102022012111000
41021322101220001
510014420411223
6323013442213
742504640110
oct11172215001
93172265430
101240013313
11586a563a0
122a7340369
13169b940b6
14ba987c77
1573ce1543
hex49e91a01

1240013313 has 64 divisors (see below), whose sum is σ = 2306304000. Its totient is φ = 639679680.

The previous prime is 1240013293. The next prime is 1240013339. The reversal of 1240013313 is 3133100421.

It is not a de Polignac number, because 1240013313 - 26 = 1240013249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1240013353) 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, 307770 + ... + 311772.

It is an arithmetic number, because the mean of its divisors is an integer number (36036000).

Almost surely, 21240013313 is an apocalyptic number.

It is an amenable number.

1240013313 is a deficient number, since it is larger than the sum of its proper divisors (1066290687).

1240013313 is a wasteful number, since it uses less digits than its factorization.

1240013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1240013313 is about 35213.8227547081. The cubic root of 1240013313 is about 1074.3409157734.

Adding to 1240013313 its reverse (3133100421), we get a palindrome (4373113734).

The spelling of 1240013313 in words is "one billion, two hundred forty million, thirteen thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 149 189 231 297 447 693 1043 1341 1639 2079 3129 4003 4023 4917 9387 11473 12009 14751 28021 28161 34419 36027 44033 44253 84063 103257 108081 132099 252189 308231 309771 396297 596447 756567 924693 1188891 1789341 2774079 4175129 5368023 6560917 8322237 12525387 16104069 19682751 37576161 45926419 59048253 112728483 137779257 177144759 413337771 1240013313