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2112024202112 = 27112160784857
BaseRepresentation
bin11110101110111110011…
…100111100101110000000
321110220111121010221121202
4132232332130330232000
5234100411143431422
64254130040240332
7305405633340266
oct36567634745600
97426447127552
102112024202112
11744782668a00
122a13a87700a8
131242172305b6
147431882c436
1539e12b68b92
hex1ebbe73cb80

2112024202112 has 96 divisors (see below), whose sum is σ = 4627758184560. Its totient is φ = 959402301440.

The previous prime is 2112024202061. The next prime is 2112024202139.

It is a happy number.

2112024202112 is nontrivially palindromic in base 10.

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, 24846788 + ... + 24931644.

Almost surely, 22112024202112 is an apocalyptic number.

2112024202112 is a gapful number since it is divisible by the number (22) 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 2112024202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313879092280).

2112024202112 is an abundant number, since it is smaller than the sum of its proper divisors (2515733982448).

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

2112024202112 is a wasteful number, since it uses less digits than its factorization.

2112024202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86500 (or 86477 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 2112024202112 in words is "two trillion, one hundred twelve billion, twenty-four million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1607 1936 3214 3872 6428 7744 12856 15488 17677 25712 35354 51424 70708 84857 102848 141416 169714 194447 205696 282832 339428 388894 565664 678856 777788 933427 1131328 1357712 1555576 1866854 2262656 2715424 3111152 3733708 5430848 6222304 7467416 10267697 10861696 12444608 14934832 20535394 24889216 29869664 41070788 59739328 82141576 119478656 136365199 164283152 272730398 328566304 545460796 657132608 1090921592 1314265216 1500017189 2181843184 3000034378 4363686368 6000068756 8727372736 12000137512 16500189079 17454745472 24000275024 33000378158 48000550048 66000756316 96001100096 132001512632 192002200192 264003025264 528006050528 1056012101056 2112024202112