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10021301334 = 23211371519059
BaseRepresentation
bin10010101010101000…
…01110110001010110
3221212101211212001200
421111110032301112
5131010423120314
64334223133330
7503223440652
oct112524166126
927771755050
1010021301334
114282844020
121b38144246
13c39238005
146b0d09a62
153d9bb9709
hex25550ec56

10021301334 has 96 divisors (see below), whose sum is σ = 24490702080. Its totient is φ = 2934792000.

The previous prime is 10021301239. The next prime is 10021301351. The reversal of 10021301334 is 43310312001.

10021301334 is a `hidden beast` number, since 10 + 0 + 21 + 301 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1101697 + ... + 1110755.

It is an arithmetic number, because the mean of its divisors is an integer number (255111480).

Almost surely, 210021301334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021301334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245351040).

10021301334 is an abundant number, since it is smaller than the sum of its proper divisors (14469400746).

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

10021301334 is a wasteful number, since it uses less digits than its factorization.

10021301334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9266 (or 9263 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10021301334 its reverse (43310312001), we get a palindrome (53331613335).

The spelling of 10021301334 in words is "ten billion, twenty-one million, three hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 151 198 222 302 333 407 453 666 814 906 1221 1359 1661 2442 2718 3322 3663 4983 5587 7326 9059 9966 11174 14949 16761 18118 27177 29898 33522 50283 54354 61457 81531 99649 100566 122914 163062 184371 199298 298947 335183 368742 553113 597894 670366 896841 1005549 1106226 1367909 1793682 2011098 2735818 3016647 3687013 4103727 6033294 7374026 8207454 11061039 12311181 15046999 22122078 24622362 30093998 33183117 45140997 50612633 66366234 90281994 101225266 135422991 151837899 270845982 303675798 455513697 556738963 911027394 1113477926 1670216889 3340433778 5010650667 10021301334