Search a number
-
+
104331234400 = 2552196863897
BaseRepresentation
bin110000100101010100…
…0000100110001100000
3100222022000121211212121
41201022220010301200
53202132244000100
6115532404234024
710352265601021
oct1411250046140
9328260554777
10104331234400
1140279297668
121827839b914
139ab8c46a33
14509a398c48
152aa95dd51a
hex184aa04c60

104331234400 has 72 divisors (see below), whose sum is σ = 268103855880. Its totient is φ = 39536040960.

The previous prime is 104331234347. The next prime is 104331234431. The reversal of 104331234400 is 4432133401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3416749 + ... + 3447148.

It is an arithmetic number, because the mean of its divisors is an integer number (3723664665).

Almost surely, 2104331234400 is an apocalyptic number.

104331234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104331234400 is an abundant number, since it is smaller than the sum of its proper divisors (163772621480).

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

104331234400 is a wasteful number, since it uses less digits than its factorization.

104331234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863936 (or 6863923 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 104331234400 its reverse (4432133401), we get a palindrome (108763367801).

The spelling of 104331234400 in words is "one hundred four billion, three hundred thirty-one million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 6863897 13727794 27455588 34319485 54911176 68638970 109822352 130414043 137277940 171597425 219644704 260828086 274555880 343194850 521656172 549111760 652070215 686389700 1043312344 1098223520 1304140430 1372779400 2086624688 2608280860 2745558800 3260351075 4173249376 5216561720 5491117600 6520702150 10433123440 13041404300 20866246880 26082808600 52165617200 104331234400