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11400510121 = 7111331367391
BaseRepresentation
bin10101001111000010…
…11111101010101001
31002102112001220211121
422213201133222221
5141322012310441
65123132255241
7552341510560
oct124741375251
932375056747
1011400510121
114920321aa0
122262011521
1310c8bb71a0
147a2168bd7
1546ad03dd1
hex2a785faa9

11400510121 has 32 divisors (see below), whose sum is σ = 15800795136. Its totient is φ = 7935624000.

The previous prime is 11400510101. The next prime is 11400510127. The reversal of 11400510121 is 12101500411.

It is a cyclic number.

It is not a de Polignac number, because 11400510121 - 27 = 11400509993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11400510095 and 11400510104.

It is not an unprimeable number, because it can be changed into a prime (11400510127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152665 + ... + 214726.

It is an arithmetic number, because the mean of its divisors is an integer number (493774848).

Almost surely, 211400510121 is an apocalyptic number.

11400510121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11400510121 is a deficient number, since it is larger than the sum of its proper divisors (4400285015).

11400510121 is a wasteful number, since it uses less digits than its factorization.

11400510121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367453.

The product of its (nonzero) digits is 40, while the sum is 16.

The spelling of 11400510121 in words is "eleven billion, four hundred million, five hundred ten thousand, one hundred twenty-one".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 1001 2387 2821 4433 31031 367391 2571737 4041301 4776083 11389121 28289107 33432581 52536913 79723847 125280331 148058573 367758391 876962317 1036410011 1628644303 11400510121