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100040011313 = 1124347577709
BaseRepresentation
bin101110100101011011…
…0010110111000110001
3100120012221221010110012
41131022312112320301
53114340220330223
6113542512344305
710141041031364
oct1351266267061
9316187833405
10100040011313
1139476a84200
121747b245095
139583bab488
144bb04b80db
1529079dec78
hex174ad96e31

100040011313 has 48 divisors (see below), whose sum is σ = 115274100480. Its totient is φ = 86667356160.

The previous prime is 100040011283. The next prime is 100040011343. The reversal of 100040011313 is 313110040001.

It is an interprime number because it is at equal distance from previous prime (100040011283) and next prime (100040011343).

It is not a de Polignac number, because 100040011313 - 230 = 98966269489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100040011343) 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, 141099803 + ... + 141100511.

It is an arithmetic number, because the mean of its divisors is an integer number (2401543760).

Almost surely, 2100040011313 is an apocalyptic number.

It is an amenable number.

100040011313 is a deficient number, since it is larger than the sum of its proper divisors (15234089167).

100040011313 is a wasteful number, since it uses less digits than its factorization.

100040011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100040011313 its reverse (313110040001), we get a palindrome (413150051314).

The spelling of 100040011313 in words is "one hundred billion, forty million, eleven thousand, three hundred thirteen".

Divisors: 1 11 43 47 121 473 517 577 709 2021 5203 5687 6347 7799 22231 24811 27119 30487 33323 69817 85789 244541 272921 298309 335357 366553 409093 1166117 1432889 3002131 3281399 3688927 4032083 4500023 12827287 15761779 17590999 19227371 49500253 141100157 173379569 193500989 211501081 826776953 2128510879 2326511891 9094546483 100040011313