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211112221100120 = 235131223180666331
BaseRepresentation
bin110000000000000101100100…
…111100100100100001011000
31000200111010112200002021211022
4300000011210330210201120
5210132330312100200440
62024555340540422012
762316232433231144
oct6000054474444130
91020433480067738
10211112221100120
11612a32101437aa
121b816b67847908
1390a4a490bb552
143a1bc59350224
1519617a7829cb5
hexc00164f24858

211112221100120 has 64 divisors (see below), whose sum is σ = 480774789411840. Its totient is φ = 83424484540800.

The previous prime is 211112221100113. The next prime is 211112221100189. The reversal of 211112221100120 is 21001122211112.

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, 89164646 + ... + 91501685.

It is an arithmetic number, because the mean of its divisors is an integer number (7512106084560).

Almost surely, 2211112221100120 is an apocalyptic number.

211112221100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112221100120 is an abundant number, since it is smaller than the sum of its proper divisors (269662568311720).

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

211112221100120 is a wasteful number, since it uses less digits than its factorization.

211112221100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180666696 (or 180666692 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211112221100120 its reverse (21001122211112), we get a palindrome (232113343311232).

The spelling of 211112221100120 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 223 262 446 524 655 892 1048 1115 1310 1784 2230 2620 4460 5240 8920 29213 58426 116852 146065 233704 292130 584260 1168520 180666331 361332662 722665324 903331655 1445330648 1806663310 3613326620 7226653240 23667289361 40288591813 47334578722 80577183626 94669157444 118336446805 161154367252 189338314888 201442959065 236672893610 322308734504 402885918130 473345787220 805771836260 946691574440 1611543672520 5277805527503 10555611055006 21111222110012 26389027637515 42222444220024 52778055275030 105556110550060 211112221100120