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21231321211320 = 23351154729404633
BaseRepresentation
bin1001101001111010011010…
…10110111110000110111000
32210011200202021120000012220
410310331031112332012320
510240323221212230240
6113053311225004040
74320624634436553
oct464751526760670
983150667500186
1021231321211320
116846175362840
12246a932623620
13bb01498b737c
1453585c47369a
1526c41e67a5d0
hex134f4d5be1b8

21231321211320 has 128 divisors (see below), whose sum is σ = 69611354346240. Its totient is φ = 5137577303040.

The previous prime is 21231321211297. The next prime is 21231321211327. The reversal of 21231321211320 is 2311212313212.

It is a super-2 number, since 2×212313212113202 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21231321211327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13980277 + ... + 15424356.

It is an arithmetic number, because the mean of its divisors is an integer number (543838705830).

Almost surely, 221231321211320 is an apocalyptic number.

21231321211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21231321211320 is an abundant number, since it is smaller than the sum of its proper divisors (48380033134920).

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

21231321211320 is a wasteful number, since it uses less digits than its factorization.

21231321211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29405205 (or 29405201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21231321211320 its reverse (2311212313212), we get a palindrome (23542533524532).

The spelling of 21231321211320 in words is "twenty-one trillion, two hundred thirty-one billion, three hundred twenty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 547 660 1094 1320 1641 2188 2735 3282 4376 5470 6017 6564 8205 10940 12034 13128 16410 18051 21880 24068 30085 32820 36102 48136 60170 65640 72204 90255 120340 144408 180510 240680 361020 722040 29404633 58809266 88213899 117618532 147023165 176427798 235237064 294046330 323450963 352855596 441069495 588092660 646901926 705711192 882138990 970352889 1176185320 1293803852 1617254815 1764277980 1940705778 2587607704 3234509630 3528555960 3881411556 4851764445 6469019260 7762823112 9703528890 12938038520 16084334251 19407057780 32168668502 38814115560 48253002753 64337337004 80421671255 96506005506 128674674008 160843342510 176927676761 193012011012 241265013765 321686685020 353855353522 386024022024 482530027530 530783030283 643373370040 707710707044 884638383805 965060055060 1061566060566 1415421414088 1769276767610 1930120110120 2123132121132 2653915151415 3538553535220 4246264242264 5307830302830 7077107070440 10615660605660 21231321211320