Search a number
-
+
21233333302120 = 2352321576391501
BaseRepresentation
bin1001101001111110001010…
…10010011111001101101000
32210011212221111122210220101
410310333011102133031220
510240341331311131440
6113054243023035144
74321025536066522
oct464770522371550
983155844583811
1021233333302120
1168470081083a5
12246b1b443bab4
13bb03aa705b44
145359ad798a12
1526c4db12a69a
hex134fc549f368

21233333302120 has 96 divisors (see below), whose sum is σ = 50260598617320. Its totient is φ = 8072311104000.

The previous prime is 21233333302109. The next prime is 21233333302169. The reversal of 21233333302120 is 2120333333212.

It can be written as a sum of positive squares in 4 ways, for example, as 20153616961284 + 1079716340836 = 4489278^2 + 1039094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126370 + ... + 6517870.

Almost surely, 221233333302120 is an apocalyptic number.

21233333302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233333302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25130299308660).

21233333302120 is an abundant number, since it is smaller than the sum of its proper divisors (29027265315200).

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

21233333302120 is a wasteful number, since it uses less digits than its factorization.

21233333302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391715 (or 6391688 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 21233333302120 its reverse (2120333333212), we get a palindrome (23353666635332).

The spelling of 21233333302120 in words is "twenty-one trillion, two hundred thirty-three billion, three hundred thirty-three million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 157 184 230 314 460 529 628 785 920 1058 1256 1570 2116 2645 3140 3611 4232 5290 6280 7222 10580 14444 18055 21160 28888 36110 72220 83053 144440 166106 332212 415265 664424 830530 1661060 3322120 6391501 12783002 25566004 31957505 51132008 63915010 127830020 147004523 255660040 294009046 588018092 735022615 1003465657 1176036184 1470045230 2006931314 2940090460 3381104029 4013862628 5017328285 5880180920 6762208058 8027725256 10034656570 13524416116 16905520145 20069313140 23079710111 27048832232 33811040290 40138626280 46159420222 67622080580 92318840444 115398550555 135244161160 184637680888 230797101110 461594202220 530833332553 923188404440 1061666665106 2123333330212 2654166662765 4246666660424 5308333325530 10616666651060 21233333302120