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2121112400 = 245211482071
BaseRepresentation
bin111111001101101…
…1001101101010000
312110211020200012112
41332123121231100
513321001044100
6550250444452
7103364105111
oct17633315520
95424220175
102121112400
11999349160
124b2433728
1327a5a06c4
141619c4208
15c6337b35
hex7e6d9b50

2121112400 has 60 divisors (see below), whose sum is σ = 5559254304. Its totient is φ = 771312000.

The previous prime is 2121112391. The next prime is 2121112447. The reversal of 2121112400 is 42111212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236636 + ... + 245435.

Almost surely, 22121112400 is an apocalyptic number.

2121112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121112400 is an abundant number, since it is smaller than the sum of its proper divisors (3438141904).

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

2121112400 is a wasteful number, since it uses less digits than its factorization.

2121112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482100 (or 482089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2121112400 is about 46055.5360407411. The cubic root of 2121112400 is about 1284.8563077729.

Adding to 2121112400 its reverse (42111212), we get a palindrome (2163223612).

The spelling of 2121112400 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 482071 964142 1928284 2410355 3856568 4820710 5302781 7713136 9641420 10605562 12051775 19282840 21211124 24103550 26513905 38565680 42422248 48207100 53027810 84844496 96414200 106055620 132569525 192828400 212111240 265139050 424222480 530278100 1060556200 2121112400