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214101074533530 = 23529503769636217
BaseRepresentation
bin110000101011100101001010…
…011111100101110010011010
31001002001212022000010022110210
4300223211022133211302122
5211030313000040033110
62035204401550351550
763045202134232452
oct6053451237456232
91032055260108423
10214101074533530
1162245834a74a78
122001a2807bb5b6
13926084c527902
143ac2793b02d62
1519b43d86cc520
hexc2b94a7e5c9a

214101074533530 has 128 divisors (see below), whose sum is σ = 533311519910400. Its totient is φ = 54943654477824.

The previous prime is 214101074533477. The next prime is 214101074533553. The reversal of 214101074533530 is 35335470101412.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336203982 + ... + 336840198.

It is an arithmetic number, because the mean of its divisors is an integer number (4166496249300).

Almost surely, 2214101074533530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214101074533530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266655759955200).

214101074533530 is an abundant number, since it is smaller than the sum of its proper divisors (319210445376870).

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

214101074533530 is a wasteful number, since it uses less digits than its factorization.

214101074533530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637528.

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 214101074533530 in words is "two hundred fourteen trillion, one hundred one billion, seventy-four million, five hundred thirty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 503 769 870 1006 1509 1538 2307 2515 3018 3845 4614 5030 7545 7690 11535 14587 15090 22301 23070 29174 43761 44602 66903 72935 87522 111505 133806 145870 218805 223010 334515 386807 437610 636217 669030 773614 1160421 1272434 1908651 1934035 2320842 3181085 3817302 3868070 5802105 6362170 9543255 11217403 11604210 18450293 19086510 22434806 33652209 36900586 55350879 56087015 67304418 92251465 110701758 112174030 168261045 184502930 276754395 320017151 336522090 489250873 553508790 640034302 960051453 978501746 1467752619 1600085755 1920102906 2446254365 2935505238 3200171510 4800257265 4892508730 7338763095 9280497379 9600514530 14188275317 14677526190 18560994758 27841492137 28376550634 42564825951 46402486895 55682984274 70941376585 85129651902 92804973790 139207460685 141882753170 212824129755 246093189119 278414921370 425648259510 492186378238 738279567357 1230465945595 1476559134714 2460931891190 3691397836785 7136702484451 7382795673570 14273404968902 21410107453353 35683512422255 42820214906706 71367024844510 107050537266765 214101074533530