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2111332100112 = 2432103760718713
BaseRepresentation
bin11110101110010101001…
…100110010100000010000
321110211201100211112011100
4132232111030302200100
5234043002004200422
64253533234144400
7305352530512224
oct36562514624020
97424640745140
102111332100112
11744457a23484
122a1234a22100
13124136a280a1
147429094c784
1539dc20067ac
hex1eb95332810

2111332100112 has 120 divisors (see below), whose sum is σ = 5967267606144. Its totient is φ = 696815718912.

The previous prime is 2111332100081. The next prime is 2111332100123. The reversal of 2111332100112 is 2110012331112.

2111332100112 is a `hidden beast` number, since 211 + 1 + 332 + 10 + 0 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112817668 + ... + 112836380.

Almost surely, 22111332100112 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 2111332100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983633803072).

2111332100112 is an abundant number, since it is smaller than the sum of its proper divisors (3855935506032).

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

2111332100112 is a wasteful number, since it uses less digits than its factorization.

2111332100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26437 (or 26428 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2111332100112 its reverse (2110012331112), we get a palindrome (4221344431224).

The spelling of 2111332100112 in words is "two trillion, one hundred eleven billion, three hundred thirty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4944 7416 7607 14832 15214 18713 22821 30428 37426 45642 56139 60856 68463 74852 91284 112278 121712 136926 149704 168417 182568 224556 273852 299408 336834 365136 449112 547704 673668 783521 898224 1095408 1347336 1567042 1927439 2350563 2694672 3134084 3854878 4701126 5782317 6268168 7051689 7709756 9402252 11564634 12536336 14103378 15419512 17346951 18804504 23129268 28206756 30839024 34693902 37609008 46258536 56413512 69387804 92517072 112827024 138775608 142349791 277551216 284699582 427049373 569399164 854098746 1138798328 1281148119 1708197492 2277596656 2562296238 3416394984 5124592476 6832789968 10249184952 14662028473 20498369904 29324056946 43986085419 58648113892 87972170838 117296227784 131958256257 175944341676 234592455568 263916512514 351888683352 527833025028 703777366704 1055666050056 2111332100112