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212122010423240 = 23529479769496439
BaseRepresentation
bin110000001110110010000001…
…000101001000111111001000
31000211001122222121211212002022
4300032302001011020333020
5210300401334132020430
62031051301210224012
762452211106655631
oct6016620105107710
91024048877755068
10212122010423240
1161652491968a85
121b95a800125008
13914903451c578
143a54a8d958888
15197cba86d64e5
hexc0ec81148fc8

212122010423240 has 128 divisors (see below), whose sum is σ = 495407404800000. Its totient is φ = 81645480247296.

The previous prime is 212122010423231. The next prime is 212122010423299. The reversal of 212122010423240 is 42324010221212.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 427038941 + ... + 427535379.

It is an arithmetic number, because the mean of its divisors is an integer number (3870370350000).

Almost surely, 2212122010423240 is an apocalyptic number.

212122010423240 is a gapful number since it is divisible by the number (20) 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 212122010423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247703702400000).

212122010423240 is an abundant number, since it is smaller than the sum of its proper divisors (283285394376760).

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

212122010423240 is a wasteful number, since it uses less digits than its factorization.

212122010423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497727 (or 497723 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 212122010423240 its reverse (42324010221212), we get a palindrome (254446020644452).

The spelling of 212122010423240 in words is "two hundred twelve trillion, one hundred twenty-two billion, ten million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 479 580 769 958 1160 1538 1916 2395 3076 3832 3845 4790 6152 7690 9580 13891 15380 19160 22301 27782 30760 44602 55564 69455 89204 111128 111505 138910 178408 223010 277820 368351 446020 496439 555640 736702 892040 992878 1473404 1841755 1985756 2482195 2946808 3683510 3971512 4964390 7367020 9928780 10682179 14396731 14734040 19857560 21364358 28793462 42728716 53410895 57586924 71983655 85457432 106821790 115173848 143967310 213643580 237794281 287934620 381761591 427287160 475588562 575869240 763523182 951177124 1188971405 1527046364 1902354248 1908807955 2377942810 3054092728 3817615910 4755885620 6896034149 7635231820 9511771240 11071086139 13792068298 15270463640 22142172278 27584136596 34480170745 44284344556 55168273192 55355430695 68960341490 88568689112 110710861390 137920682980 182863802089 221421722780 275841365960 365727604178 442843445560 731455208356 914319010445 1462910416712 1828638020890 3657276041780 5303050260581 7314552083560 10606100521162 21212201042324 26515251302905 42424402084648 53030502605810 106061005211620 212122010423240