Search a number
-
+
21261021531600 = 2435243412035301
BaseRepresentation
bin1001101010110001101111…
…01000101100110111010000
32210021112102010221121022010
410311120313220230313100
510241320033003002400
6113115102313542520
74323025635131604
oct465306750546720
983245363847263
1021261021531600
116857826420a84
122474641114a40
13bb2ba0b64396
14537078b8d504
1526d0abd0a450
hex135637a2cdd0

21261021531600 has 120 divisors (see below), whose sum is σ = 69690002839072. Its totient is φ = 5537754432000.

The previous prime is 21261021531583. The next prime is 21261021531601. The reversal of 21261021531600 is 613512016212.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21261021531601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205966051 + ... + 206069250.

Almost surely, 221261021531600 is an apocalyptic number.

21261021531600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21261021531600 is an abundant number, since it is smaller than the sum of its proper divisors (48428981307472).

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

21261021531600 is a wasteful number, since it uses less digits than its factorization.

21261021531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412035365 (or 412035354 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 21261021531600 its reverse (613512016212), we get a palindrome (21874533547812).

The spelling of 21261021531600 in words is "twenty-one trillion, two hundred sixty-one billion, twenty-one million, five hundred thirty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 51600 412035301 824070602 1236105903 1648141204 2060176505 2472211806 3296282408 4120353010 4944423612 6180529515 6592564816 8240706020 9888847224 10300882525 12361059030 16481412040 17717517943 19777694448 20601765050 24722118060 30902647575 32962824080 35435035886 41203530100 49444236120 53152553829 61805295150 70870071772 82407060200 88587589715 98888472240 106305107658 123610590300 141740143544 164814120400 177175179430 212610215316 247221180600 265762769145 283480287088 354350358860 425220430632 442937948575 494442361200 531525538290 708700717720 850440861264 885875897150 1063051076580 1328813845725 1417401435440 1771751794300 2126102153160 2657627691450 3543503588600 4252204306320 5315255382900 7087007177200 10630510765800 21261021531600