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2121331012020 = 2233511357126433
BaseRepresentation
bin11110110111101001001…
…011100111000110110100
321111210112012112212201000
4132313221023213012310
5234223441214341040
64302305341403300
7306155363043003
oct36675113470664
97453465485630
102121331012020
11748719064a40
122a3165569530
1312506b4241cc
147495c8aac3a
153a2a9c4c130
hex1ede92e71b4

2121331012020 has 96 divisors (see below), whose sum is σ = 7199668909440. Its totient is φ = 514262062080.

The previous prime is 2121331011971. The next prime is 2121331012037. The reversal of 2121331012020 is 202101331212.

2121331012020 is a `hidden beast` number, since 2 + 1 + 213 + 310 + 120 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121331011984 and 2121331012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178557277 + ... + 178569156.

It is an arithmetic number, because the mean of its divisors is an integer number (74996551140).

Almost surely, 22121331012020 is an apocalyptic number.

2121331012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121331012020 is an abundant number, since it is smaller than the sum of its proper divisors (5078337897420).

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

2121331012020 is a wasteful number, since it uses less digits than its factorization.

2121331012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357126462 (or 357126454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121331012020 its reverse (202101331212), we get a palindrome (2323432343232).

The spelling of 2121331012020 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 357126433 714252866 1071379299 1428505732 1785632165 2142758598 3214137897 3571264330 3928390763 4285517196 5356896495 6428275794 7142528660 7856781526 9642413691 10713792990 11785172289 12856551588 15713563052 16070689485 19284827382 19641953815 21427585980 23570344578 32141378970 35355516867 38569654764 39283907630 47140689156 48212068455 58925861445 64282757940 70711033734 78567815260 96424136910 106066550601 117851722890 141422067468 176777584335 192848273820 212133101202 235703445780 353555168670 424266202404 530332753005 707110337340 1060665506010 2121331012020