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212112210101000 = 235311119659161149
BaseRepresentation
bin110000001110101000111000…
…111011111000001100001000
31000211000201200121210220100112
4300032220320323320030020
5210300221301241213000
62031043000515253452
762451413205416606
oct6016507073701410
91024021617726315
10212112210101000
1161649312936910
121b958925baa288
139148132005821
143a54400132876
15197c7d311c235
hexc0ea38ef8308

212112210101000 has 128 divisors (see below), whose sum is σ = 541472508720000. Its totient is φ = 77130589536000.

The previous prime is 212112210100981. The next prime is 212112210101089. The reversal of 212112210101000 is 101012211212.

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, 1316168426 + ... + 1316329574.

It is an arithmetic number, because the mean of its divisors is an integer number (4230253974375).

Almost surely, 2212112210101000 is an apocalyptic number.

212112210101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112210101000 is an abundant number, since it is smaller than the sum of its proper divisors (329360298619000).

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

212112210101000 is a wasteful number, since it uses less digits than its factorization.

212112210101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280840 (or 280826 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212112210101000 its reverse (101012211212), we get a palindrome (212213222312212).

The spelling of 212112210101000 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 119659 161149 239318 322298 478636 598295 644596 805745 957272 1196590 1289192 1316249 1611490 1772639 2393180 2632498 2991475 3222980 3545278 4028725 4786360 5264996 5982950 6445960 6581245 7090556 8057450 8863195 10529992 11965900 13162490 14181112 14957375 16114900 17726390 20143625 23931800 26324980 29914750 32229800 32906225 35452780 40287250 44315975 52649960 59829500 65812450 70905560 80574500 88631950 119659000 131624900 161149000 164531125 177263900 221579875 263249800 329062250 354527800 443159750 658124500 886319500 1316249000 1772639000 19282928191 38565856382 77131712764 96414640955 154263425528 192829281910 212112210101 385658563820 424224420202 482073204775 771317127640 848448840404 964146409550 1060561050505 1696897680808 1928292819100 2121122101010 2410366023875 3856585638200 4242244202020 4820732047750 5302805252525 8484488404040 9641464095500 10605610505050 19282928191000 21211221010100 26514026262625 42422442020200 53028052525250 106056105050500 212112210101000