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221021071398072 = 233311172421539507
BaseRepresentation
bin110010010000010001111010…
…011100101101010010111000
31001222120102000111001220211000
4302100101322130231102320
5212432202123234214242
62102023402315205000
764361150122122051
oct6220217234552270
91058512014056730
10221021071398072
1164473567884550
1220957445746760
13964327519121a
143c816969c5728
151a843ea4dda4c
hexc9047a72d4b8

221021071398072 has 128 divisors (see below), whose sum is σ = 669765948307200. Its totient is φ = 66975569654400.

The previous prime is 221021071398037. The next prime is 221021071398077. The reversal of 221021071398072 is 270893170120122.

221021071398072 is a `hidden beast` number, since 2 + 210 + 210 + 71 + 3 + 98 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021071398077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409402543 + ... + 409942049.

It is an arithmetic number, because the mean of its divisors is an integer number (5232546471150).

Almost surely, 2221021071398072 is an apocalyptic number.

221021071398072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221021071398072 is an abundant number, since it is smaller than the sum of its proper divisors (448744876909128).

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

221021071398072 is a wasteful number, since it uses less digits than its factorization.

221021071398072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711954 (or 711944 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 221021071398072 in words is "two hundred twenty-one trillion, twenty-one billion, seventy-one million, three hundred ninety-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 172421 344842 517263 539507 689684 1034526 1079014 1379368 1551789 1618521 1896631 2069052 2158028 3103578 3237042 3793262 4138104 4316056 4655367 4855563 5689893 5934577 6207156 6474084 7586524 9310734 9711126 11379786 11869154 12414312 12948168 14566689 15173048 17069679 17803731 18621468 19422252 22759572 23738308 29133378 34139358 35607462 37242936 38844504 45519144 47476616 51209037 53411193 58266756 68278716 71214924 102418074 106822386 116533512 136557432 142429848 160233579 204836148 213644772 320467158 409672296 427289544 640934316 1281868632 93022336447 186044672894 279067009341 372089345788 558134018682 744178691576 837201028023 1023245700917 1116268037364 1674402056046 2046491401834 2232536074728 2511603084069 3069737102751 3348804112092 4092982803668 5023206168138 6139474205502 6697608224184 8185965607336 9209211308253 10046412336276 12278948411004 18418422616506 20092824672552 24557896822008 27627633924759 36836845233012 55255267849518 73673690466024 110510535699036 221021071398072