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212011120111000 = 2353782736623099
BaseRepresentation
bin110000001101001010101111…
…100000001010110110011000
31000210200001202111011022220211
4300031022233200022312120
5210242042233222023000
62030524321454100504
762441204124605650
oct6015125740126630
91023601674138824
10212011120111000
116160a458203131
121b9412131aa734
13913b74173b6b2
143a4d57041b360
151979d683777ba
hexc0d2af80ad98

212011120111000 has 128 divisors (see below), whose sum is σ = 567663909696000. Its totient is φ = 72601629475200.

The previous prime is 212011120110991. The next prime is 212011120111067. The reversal of 212011120111000 is 111021110212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12522550 + ... + 24100549.

It is an arithmetic number, because the mean of its divisors is an integer number (4434874294500).

Almost surely, 2212011120111000 is an apocalyptic number.

212011120111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011120111000 is an abundant number, since it is smaller than the sum of its proper divisors (355652789585000).

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

212011120111000 is a wasteful number, since it uses less digits than its factorization.

212011120111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36623954 (or 36623940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212011120111000 its reverse (111021110212), we get a palindrome (212122141221212).

The spelling of 212011120111000 in words is "two hundred twelve trillion, eleven billion, one hundred twenty million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 827 875 1000 1400 1654 1750 3308 3500 4135 5789 6616 7000 8270 11578 16540 20675 23156 28945 33080 41350 46312 57890 82700 103375 115780 144725 165400 206750 231560 289450 413500 578900 723625 827000 1157800 1447250 2894500 5789000 36623099 73246198 146492396 183115495 256361693 292984792 366230990 512723386 732461980 915577475 1025446772 1281808465 1464923960 1831154950 2050893544 2563616930 3662309900 4577887375 5127233860 6409042325 7324619800 9155774750 10254467720 12818084650 18311549500 25636169300 30287302873 32045211625 36623099000 51272338600 60574605746 64090423250 121149211492 128180846500 151436514365 212011120111 242298422984 256361693000 302873028730 424022240222 605746057460 757182571825 848044480444 1060055600555 1211492114920 1514365143650 1696088960888 2120111201110 3028730287300 3785912859125 4240222402220 5300278002775 6057460574600 7571825718250 8480444804440 10600556005550 15143651436500 21201112011100 26501390013875 30287302873000 42402224022200 53002780027750 106005560055500 212011120111000