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2121001131300 = 2235237757252419
BaseRepresentation
bin11110110111010101100…
…001001101110100100100
321111202200012211012102120
4132313111201031310210
5234222302242200200
64302212515105540
7306144246102432
oct36672541156444
97452605735376
102121001131300
11748569931747
122a3092ba22b0
13125017c9380c
147492ab59d52
153a28acd99a0
hex1edd584dd24

2121001131300 has 144 divisors (see below), whose sum is σ = 6310972530240. Its totient is φ = 549584663040.

The previous prime is 2121001131299. The next prime is 2121001131317. The reversal of 2121001131300 is 31311001212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121001131300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8276491 + ... + 8528909.

Almost surely, 22121001131300 is an apocalyptic number.

2121001131300 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 2121001131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155486265120).

2121001131300 is an abundant number, since it is smaller than the sum of its proper divisors (4189971398940).

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

2121001131300 is a wasteful number, since it uses less digits than its factorization.

2121001131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253230 (or 253223 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2121001131300 its reverse (31311001212), we get a palindrome (2152312132512).

The spelling of 2121001131300 in words is "two trillion, one hundred twenty-one billion, one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 757 925 1110 1514 1850 2220 2271 2775 3028 3700 3785 4542 5550 7570 9084 11100 11355 15140 18925 22710 28009 37850 45420 56018 56775 75700 84027 112036 113550 140045 168054 227100 252419 280090 336108 420135 504838 560180 700225 757257 840270 1009676 1262095 1400450 1514514 1680540 2100675 2524190 2800900 3029028 3786285 4201350 5048380 6310475 7572570 8402700 9339503 12620950 15145140 18679006 18931425 25241900 28018509 37358012 37862850 46697515 56037018 75725700 93395030 112074036 140092545 186790060 191081183 233487575 280185090 382162366 466975150 560370180 573243549 700462725 764324732 933950300 955405915 1146487098 1400925450 1910811830 2292974196 2801850900 2866217745 3821623660 4777029575 5732435490 7070003771 9554059150 11464870980 14140007542 14331088725 19108118300 21210011313 28280015084 28662177450 35350018855 42420022626 57324354900 70700037710 84840045252 106050056565 141400075420 176750094275 212100113130 353500188550 424200226260 530250282825 707000377100 1060500565650 2121001131300