Search a number
-
+
23134320201042 = 23231188032204933
BaseRepresentation
bin1010100001010011000001…
…11100000000110101010010
310000220121201112212222102200
411100221200330000311102
511013013041432413132
6121111432053424030
74605254010113451
oct520514074006522
9100817645788380
1023134320201042
11740a234708926
12271770503b016
13cba731a5b72b
1459d9c82c4b98
152a1b9b862d7c
hex150a60f00d52

23134320201042 has 48 divisors (see below), whose sum is σ = 51744050512128. Its totient is φ = 7462283663520.

The previous prime is 23134320201029. The next prime is 23134320201131. The reversal of 23134320201042 is 24010202343132.

23134320201042 is a `hidden beast` number, since 2 + 3 + 134 + 320 + 201 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23134320200997 and 23134320201015.

It is an unprimeable number.

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, 9389608 + ... + 11594540.

It is an arithmetic number, because the mean of its divisors is an integer number (1078001052336).

Almost surely, 223134320201042 is an apocalyptic number.

23134320201042 is an abundant number, since it is smaller than the sum of its proper divisors (28609730311086).

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

23134320201042 is a wasteful number, since it uses less digits than its factorization.

23134320201042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223775 (or 2223772 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23134320201042 its reverse (24010202343132), we get a palindrome (47144522544174).

The spelling of 23134320201042 in words is "twenty-three trillion, one hundred thirty-four billion, three hundred twenty million, two hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 18803 37606 56409 112818 169227 338454 582893 1165786 1748679 2204933 3497358 4409866 5246037 6614799 10492074 13229598 19844397 39688794 68352923 136705846 205058769 410117538 615176307 1230352614 41459355199 82918710398 124378065597 248756131194 373134196791 746268393582 1285240011169 2570480022338 3855720033507 7711440067014 11567160100521 23134320201042