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21831363312 = 24311101409379
BaseRepresentation
bin10100010101010000…
…000010101011110000
32002100110120011102120
4110111100002223300
5324202312111222
614010145514240
71402000345353
oct242520025360
962313504376
1021831363312
119293265420
124293342980
13209bc29375
1410b160429a
1587b91c15c
hex515402af0

21831363312 has 80 divisors (see below), whose sum is σ = 62134058880. Its totient is φ = 6550048000.

The previous prime is 21831363311. The next prime is 21831363317. The reversal of 21831363312 is 21336313812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21831363311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151362 + ... + 258017.

It is an arithmetic number, because the mean of its divisors is an integer number (776675736).

Almost surely, 221831363312 is an apocalyptic number.

21831363312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21831363312 is an abundant number, since it is smaller than the sum of its proper divisors (40302695568).

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

21831363312 is a wasteful number, since it uses less digits than its factorization.

21831363312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409502 (or 409496 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

It can be divided in two parts, 218313 and 63312, that added together give a triangular number (281625 = T750).

The spelling of 21831363312 in words is "twenty-one billion, eight hundred thirty-one million, three hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 53328 409379 818758 1228137 1637516 2456274 3275032 4503169 4912548 6550064 9006338 9825096 13509507 18012676 19650192 27019014 36025352 41347279 54038028 72050704 82694558 108076056 124041837 165389116 216152112 248083674 330778232 454820069 496167348 661556464 909640138 992334696 1364460207 1819280276 1984669392 2728920414 3638560552 5457840828 7277121104 10915681656 21831363312