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111354726141 = 32371013310877
BaseRepresentation
bin110011110110101000…
…0100100011011111101
3101122102111120012021100
41213231100210123331
53311023302214031
6123053342123313
711021321361231
oct1475520443375
9348374505240
10111354726141
114325292699a
12196b8580539
13a6680864c9
1455650ac5c1
152d6aee7de6
hex19ed4246fd

111354726141 has 24 divisors (see below), whose sum is σ = 166828520664. Its totient is φ = 71514921600.

The previous prime is 111354726139. The next prime is 111354726151. The reversal of 111354726141 is 141627453111.

111354726141 is a `hidden beast` number, since 1 + 1 + 1 + 35 + 4 + 7 + 2 + 614 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102243260025 + 9111466116 = 319755^2 + 95454^2 .

It is not a de Polignac number, because 111354726141 - 21 = 111354726139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111354726096 and 111354726105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111354726151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1621806 + ... + 1689071.

It is an arithmetic number, because the mean of its divisors is an integer number (6951188361).

Almost surely, 2111354726141 is an apocalyptic number.

It is an amenable number.

111354726141 is a deficient number, since it is larger than the sum of its proper divisors (55473794523).

111354726141 is a wasteful number, since it uses less digits than its factorization.

111354726141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311021 (or 3311018 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 111354726141 in words is "one hundred eleven billion, three hundred fifty-four million, seven hundred twenty-six thousand, one hundred forty-one".

Divisors: 1 3 9 37 101 111 303 333 909 3737 11211 33633 3310877 9932631 29797893 122502449 334398577 367507347 1003195731 1102522041 3009587193 12372747349 37118242047 111354726141