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112021209984 = 2735913673617
BaseRepresentation
bin110100001010011111…
…1000000001110000000
3101201010221200002020010
41220110333000032000
53313404412204414
6123243431144520
711043663400635
oct1502477001600
9351127602203
10112021209984
1143565064092
1219863815140
13a74318c348
1455c980018c
152da9799959
hex1a14fc0380

112021209984 has 128 divisors (see below), whose sum is σ = 302904748800. Its totient is φ = 36670521344.

The previous prime is 112021209977. The next prime is 112021210013. The reversal of 112021209984 is 489902120211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30968944 + ... + 30972560.

It is an arithmetic number, because the mean of its divisors is an integer number (2366443350).

Almost surely, 2112021209984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112021209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151452374400).

112021209984 is an abundant number, since it is smaller than the sum of its proper divisors (190883538816).

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

112021209984 is a wasteful number, since it uses less digits than its factorization.

112021209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 112021209984 in words is "one hundred twelve billion, twenty-one million, two hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1367 1416 1888 2734 2832 3617 3776 4101 5468 5664 7234 7552 8202 10851 10936 11328 14468 16404 21702 21872 22656 28936 32808 43404 43744 57872 65616 80653 86808 87488 115744 131232 161306 173616 174976 213403 231488 241959 262464 322612 347232 426806 462976 483918 524928 640209 645224 694464 853612 967836 1280418 1290448 1388928 1707224 1935672 2560836 2580896 3414448 3871344 4944439 5121672 5161792 6828896 7742688 9888878 10243344 10323584 13657792 14833317 15485376 19777756 20486688 27315584 29666634 30970752 39555512 40973376 59333268 79111024 81946752 118666536 158222048 237333072 291721901 316444096 474666144 583443802 632888192 875165703 949332288 1166887604 1750331406 1898664576 2333775208 3500662812 4667550416 7001325624 9335100832 14002651248 18670201664 28005302496 37340403328 56010604992 112021209984