Search a number
-
+
104211223410400 = 2552166778142789
BaseRepresentation
bin10111101100011110010000…
…111100111111011011100000
3111122222111101100010020101221
4113230132100330333123200
5102124344041143113100
61005345550343304424
730644004156414451
oct2754362074773340
9448874340106357
10104211223410400
113022880591a327
12b8309bba4b114
13461c0cb54ac92
141ba3bc8a5b128
15c0ab8e1be01a
hex5ec790f3f6e0

104211223410400 has 72 divisors (see below), whose sum is σ = 254558265275160. Its totient is φ = 41659483138560.

The previous prime is 104211223410353. The next prime is 104211223410401. The reversal of 104211223410400 is 4014322112401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104211223410401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37737795 + ... + 40404994.

It is an arithmetic number, because the mean of its divisors is an integer number (3535531462155).

Almost surely, 2104211223410400 is an apocalyptic number.

104211223410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104211223410400 is an abundant number, since it is smaller than the sum of its proper divisors (150347041864760).

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

104211223410400 is a wasteful number, since it uses less digits than its factorization.

104211223410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78144476 (or 78144463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 104211223410400 its reverse (4014322112401), we get a palindrome (108225545522801).

The spelling of 104211223410400 in words is "one hundred four trillion, two hundred eleven billion, two hundred twenty-three million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1667 3334 6668 8335 13336 16670 26672 33340 41675 53344 66680 83350 133360 166700 266720 333400 666800 1333600 78142789 156285578 312571156 390713945 625142312 781427890 1250284624 1562855780 1953569725 2500569248 3125711560 3907139450 6251423120 7814278900 12502846240 15628557800 31257115600 62514231200 130264029263 260528058526 521056117052 651320146315 1042112234104 1302640292630 2084224468208 2605280585260 3256600731575 4168448936416 5210561170520 6513201463150 10421122341040 13026402926300 20842244682080 26052805852600 52105611705200 104211223410400