Search a number
-
+
23011322311032 = 2331187164099663
BaseRepresentation
bin1010011101101101111011…
…01100010011000101111000
310000110212020121122202221220
411032312331230103011320
511004004142002423112
6120535131110032040
74563341006234106
oct516667554230570
9100425217582856
1023011322311032
1173720575a4660
1226b78b9348620
13cabc5c74b363
14597a7ab64c76
1529d89d5d398c
hex14edbdb13178

23011322311032 has 32 divisors (see below), whose sum is σ = 62758151758080. Its totient is φ = 6973127972960.

The previous prime is 23011322310919. The next prime is 23011322311049.

23011322311032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23011322310993 and 23011322311011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43582049568 + ... + 43582050095.

It is an arithmetic number, because the mean of its divisors is an integer number (1961192242440).

Almost surely, 223011322311032 is an apocalyptic number.

23011322311032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23011322311032 is an abundant number, since it is smaller than the sum of its proper divisors (39746829447048).

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

23011322311032 is a wasteful number, since it uses less digits than its factorization.

23011322311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87164099683 (or 87164099679 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2301132 and 2311032, that added together give a palindrome (4612164).

The spelling of 23011322311032 in words is "twenty-three trillion, eleven billion, three hundred twenty-two million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 87164099663 174328199326 261492298989 348656398652 522984597978 697312797304 958805096293 1045969195956 1917610192586 2091938391912 2876415288879 3835220385172 5752830577758 7670440770344 11505661155516 23011322311032