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103314440411 = 71361731371861
BaseRepresentation
bin110000000111000000…
…1010100000011011011
3100212200011100100201222
41200032001110003123
53143041444043121
6115243443002255
710315141153040
oct1401601240333
9325604310658
10103314440411
113a8a7343256
121803396938b
1399863a97a0
1450013191c7
152a4a1e10ab
hex180e0540db

103314440411 has 64 divisors (see below), whose sum is σ = 132038382336. Its totient is φ = 78680678400.

The previous prime is 103314440387. The next prime is 103314440417. The reversal of 103314440411 is 114044413301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103314440411 - 218 = 103314178267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103314440417) 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, 55514621 + ... + 55516481.

It is an arithmetic number, because the mean of its divisors is an integer number (2063099724).

Almost surely, 2103314440411 is an apocalyptic number.

103314440411 is a deficient number, since it is larger than the sum of its proper divisors (28723941925).

103314440411 is a wasteful number, since it uses less digits than its factorization.

103314440411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 103314440411 its reverse (114044413301), we get a palindrome (217358853712).

The spelling of 103314440411 in words is "one hundred three billion, three hundred fourteen million, four hundred forty thousand, four hundred eleven".

Divisors: 1 7 13 61 73 91 137 427 511 793 949 959 1781 1861 4453 5551 6643 8357 10001 12467 13027 24193 31171 57889 58499 70007 108641 113521 130013 135853 169351 254957 405223 610061 760487 794647 910091 950971 1475773 1766089 1784699 3314441 4270427 7930793 8287033 10330411 12362623 15552377 18611861 23201087 55515551 58009231 107731429 108866639 130283027 202180901 241954193 754120003 1135323521 1415266307 1693679351 7947264647 14759205773 103314440411