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21023330311320 = 2335269676196329
BaseRepresentation
bin1001100011110111000000…
…01000101001110010011000
32202102210220000222112200020
410301323200020221302120
510223421240024430240
6112413552402110440
74266612503113161
oct461734010516230
982383800875606
1021023330311320
116775a4297a157
12243656694b420
13b96650bc00cc
1452976adb6768
15266ce99070d0
hex131ee0229c98

21023330311320 has 128 divisors (see below), whose sum is σ = 63314472312000. Its totient is φ = 5584496353280.

The previous prime is 21023330311303. The next prime is 21023330311339. The reversal of 21023330311320 is 2311303332012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 218196916 + ... + 218293244.

Almost surely, 221023330311320 is an apocalyptic number.

21023330311320 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 21023330311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657236156000).

21023330311320 is an abundant number, since it is smaller than the sum of its proper divisors (42291142000680).

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

21023330311320 is a wasteful number, since it uses less digits than its factorization.

21023330311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103373 (or 103369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21023330311320 its reverse (2311303332012), we get a palindrome (23334633643332).

The spelling of 21023330311320 in words is "twenty-one trillion, twenty-three billion, three hundred thirty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 6761 8070 10760 13522 16140 20283 27044 32280 33805 40566 54088 67610 81132 96329 101415 135220 162264 192658 202830 270440 288987 385316 405660 481645 577974 770632 811320 963290 1155948 1444935 1818709 1926580 2311896 2889870 3637418 3853160 5456127 5779740 7274836 9093545 10912254 11559480 14549672 18187090 21824508 25912501 27280635 36374180 43649016 51825002 54561270 72748360 77737503 103650004 109122540 129562505 155475006 207300008 218245080 259125010 310950012 388687515 518250020 621900024 651280369 777375030 1036500040 1302560738 1554750060 1953841107 2605121476 3109500120 3256401845 3907682214 5210242952 6512803690 7815364428 9769205535 13025607380 15630728856 19538411070 26051214760 39076822140 78153644280 175194419261 350388838522 525583257783 700777677044 875972096305 1051166515566 1401555354088 1751944192610 2102333031132 2627916288915 3503888385220 4204666062264 5255832577830 7007776770440 10511665155660 21023330311320