Search a number
-
+
23123205314320 = 2451074492690021
BaseRepresentation
bin1010100000111110010100…
…11100000101011100010000
310000212120000221021020020111
411100133022130011130100
511012322311030024240
6121102353123051104
74604411404124056
oct520371234053420
9100776027236214
1023123205314320
117405550640a31
122715522810a94
13cb96800aa697
1459d25206a1d6
152a174ab7d1ea
hex1507ca705710

23123205314320 has 40 divisors (see below), whose sum is σ = 53761972685400. Its totient is φ = 9249192606720.

The previous prime is 23123205314311. The next prime is 23123205314347. The reversal of 23123205314320 is 2341350232132.

It can be written as a sum of positive squares in 4 ways, for example, as 877983992064 + 22245221322256 = 937008^2 + 4716484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7250910 + ... + 9940930.

It is an arithmetic number, because the mean of its divisors is an integer number (1344049317135).

Almost surely, 223123205314320 is an apocalyptic number.

23123205314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23123205314320 is an abundant number, since it is smaller than the sum of its proper divisors (30638767371080).

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

23123205314320 is a wasteful number, since it uses less digits than its factorization.

23123205314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797483 (or 2797477 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 23123205314320 its reverse (2341350232132), we get a palindrome (25464555546452).

The spelling of 23123205314320 in words is "twenty-three trillion, one hundred twenty-three billion, two hundred five million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107449 214898 429796 537245 859592 1074490 1719184 2148980 2690021 4297960 5380042 8595920 10760084 13450105 21520168 26900210 43040336 53800420 107600840 215201680 289040066429 578080132858 1156160265716 1445200332145 2312320531432 2890400664290 4624641062864 5780801328580 11561602657160 23123205314320