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23154132132 = 2232897226633
BaseRepresentation
bin10101100100000110…
…000000010010100100
32012202122120210010100
4111210012000102210
5334404424212012
614345321224100
71446531606255
oct254406002244
965678523110
1023154132132
1199019a419a
1245a2332030
13224cca6b01
141199170b2c
15907b088dc
hex5641804a4

23154132132 has 36 divisors (see below), whose sum is σ = 59186132460. Its totient is φ = 7631323392.

The previous prime is 23154132091. The next prime is 23154132181. The reversal of 23154132132 is 23123145132.

23154132132 is a `hidden beast` number, since 2 + 31 + 5 + 413 + 213 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12083725476 + 11070406656 = 109926^2 + 105216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×231541321322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23154132096 and 23154132105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3610113 + ... + 3616520.

It is an arithmetic number, because the mean of its divisors is an integer number (1644059235).

Almost surely, 223154132132 is an apocalyptic number.

It is an amenable number.

23154132132 is an abundant number, since it is smaller than the sum of its proper divisors (36032000328).

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

23154132132 is a wasteful number, since it uses less digits than its factorization.

23154132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226732 (or 7226727 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 23154132132 its reverse (23123145132), we get a palindrome (46277277264).

The spelling of 23154132132 in words is "twenty-three billion, one hundred fifty-four million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 7226633 14453266 21679899 28906532 43359798 65039697 86719596 130079394 260158788 643170337 1286340674 1929511011 2572681348 3859022022 5788533033 7718044044 11577066066 23154132132