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23154242012 = 22112179113089
BaseRepresentation
bin10101100100000110…
…011011000111011100
32012202122210100211222
4111210012123013130
5334404441221022
614345323432512
71446532544516
oct254406330734
965678710758
1023154242012
119901a69800
1245a2385738
132250014b25
14119919cbb6
15907b2b242
hex56419b1dc

23154242012 has 72 divisors (see below), whose sum is σ = 47225384640. Its totient is φ = 9891481600.

The previous prime is 23154242011. The next prime is 23154242053. The reversal of 23154242012 is 21024245132.

It is a super-2 number, since 2×231542420122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23154242011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7494164 + ... + 7497252.

It is an arithmetic number, because the mean of its divisors is an integer number (655908120).

Almost surely, 223154242012 is an apocalyptic number.

23154242012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23154242012 is an abundant number, since it is smaller than the sum of its proper divisors (24071142628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23154242012 is a wasteful number, since it uses less digits than its factorization.

23154242012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 23154242012 its reverse (21024245132), we get a palindrome (44178487144).

The spelling of 23154242012 in words is "twenty-three billion, one hundred fifty-four million, two hundred forty-two thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 911 1822 2057 3089 3644 4114 6178 8228 10021 12356 15487 20042 30974 33979 40084 52513 61948 67958 105026 110231 135916 170357 210052 220462 340714 373769 440924 577643 681428 747538 1155286 1495076 1873927 2310572 2814079 3747854 5628158 6354073 7495708 11256316 12708146 25416292 30954869 47839343 61909738 95678686 123819476 191357372 340503559 526232773 681007118 1052465546 1362014236 2104931092 5788560503 11577121006 23154242012