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200122232112 = 243211373414589
BaseRepresentation
bin1011101001100000110…
…1101110110100110000
3201010112212021201102200
42322120031232310300
511234322242411422
6231533533543200
720313133622565
oct2723015566460
9633485251380
10200122232112
1177964867a80
1232950644b00
1315b4374807a
14998641c86c
15531406b2ac
hex2e9836ed30

200122232112 has 120 divisors (see below), whose sum is σ = 627492375120. Its totient is φ = 59004080640.

The previous prime is 200122232081. The next prime is 200122232207. The reversal of 200122232112 is 211232221002.

200122232112 is a `hidden beast` number, since 200 + 122 + 232 + 112 = 666.

200122232112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648687 + ... + 1765902.

It is an arithmetic number, because the mean of its divisors is an integer number (5229103126).

Almost surely, 2200122232112 is an apocalyptic number.

200122232112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200122232112 is an abundant number, since it is smaller than the sum of its proper divisors (427370143008).

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

200122232112 is a wasteful number, since it uses less digits than its factorization.

200122232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414651 (or 3414642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200122232112 its reverse (211232221002), we get a palindrome (411354453114).

It can be divided in two parts, 200122 and 232112, that added together give a palindrome (432234).

The spelling of 200122232112 in words is "two hundred billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 19536 29304 58608 3414589 6829178 10243767 13658356 20487534 27316712 30731301 37560479 40975068 54633424 61462602 75120958 81950136 112681437 122925204 126339793 150241916 163900272 225362874 245850408 252679586 300483832 338044311 379019379 450725748 491700816 505359172 600967664 676088622 758038758 901451496 1010718344 1137058137 1352177244 1389737723 1516077516 1802902992 2021436688 2274116274 2704354488 2779475446 3032155032 4169213169 4548232548 5408708976 5558950892 6064310064 8338426338 9096465096 11117901784 12507639507 16676852676 18192930192 22235803568 25015279014 33353705352 50030558028 66707410704 100061116056 200122232112