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21322413431400 = 2335243826450133
BaseRepresentation
bin1001101100100100000101…
…11000001101101001101000
32210111101212122122020121210
410312102002320031221220
510243321300314301100
6113203214223233120
74330331165514324
oct466220270155150
983441778566553
1021322413431400
11688086a564a54
1224845151487a0
13bb8905a95103
1453a020446984
1526e9a1852c50
hex136482e0da68

21322413431400 has 96 divisors (see below), whose sum is σ = 67636678966560. Its totient is φ = 5553744887040.

The previous prime is 21322413431381. The next prime is 21322413431411. The reversal of 21322413431400 is 413431422312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 413199267 + ... + 413250866.

It is an arithmetic number, because the mean of its divisors is an integer number (704548739235).

Almost surely, 221322413431400 is an apocalyptic number.

21322413431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322413431400 is an abundant number, since it is smaller than the sum of its proper divisors (46314265535160).

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

21322413431400 is a wasteful number, since it uses less digits than its factorization.

21322413431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826450195 (or 826450186 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 21322413431400 its reverse (413431422312), we get a palindrome (21735844853712).

The spelling of 21322413431400 in words is "twenty-one trillion, three hundred twenty-two billion, four hundred thirteen million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 826450133 1652900266 2479350399 3305800532 4132250665 4958700798 6611601064 8264501330 9917401596 12396751995 16529002660 19834803192 20661253325 24793503990 33058005320 35537355719 41322506650 49587007980 61983759975 71074711438 82645013300 99174015960 106612067157 123967519950 142149422876 165290026600 177686778595 213224134314 247935039900 284298845752 355373557190 426448268628 495870079800 533060335785 710747114380 852896537256 888433892975 1066120671570 1421494228760 1776867785950 2132241343140 2665301678925 3553735571900 4264482686280 5330603357850 7107471143800 10661206715700 21322413431400