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2021222112528 = 2431779261711981
BaseRepresentation
bin11101011010011010001…
…110011101110100010000
321011020010102222212102210
4131122122032131310100
5231103430330100103
64144311524312120
7266012524325163
oct35323216356420
97136112885383
102021222112528
1170a21720a063
12287887242640
131187a61a62c8
146db831bdada
153789b1a0e03
hex1d69a39dd10

2021222112528 has 160 divisors (see below), whose sum is σ = 5601226498560. Its totient is φ = 625790730240.

The previous prime is 2021222112523. The next prime is 2021222112529. The reversal of 2021222112528 is 8252112221202.

It is a junction number, because it is equal to n+sod(n) for n = 2021222112495 and 2021222112504.

It is not an unprimeable number, because it can be changed into a prime (2021222112521) 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, 168696298 + ... + 168708278.

It is an arithmetic number, because the mean of its divisors is an integer number (35007665616).

Almost surely, 22021222112528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021222112528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800613249280).

2021222112528 is an abundant number, since it is smaller than the sum of its proper divisors (3580004386032).

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

2021222112528 is a wasteful number, since it uses less digits than its factorization.

2021222112528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14705 (or 14699 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 2021222112528 in words is "two trillion, twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 204 237 272 316 408 474 632 816 948 1264 1343 1896 2617 2686 3792 4029 5234 5372 7851 8058 10468 10744 11981 15702 16116 20936 21488 23962 31404 32232 35943 41872 44489 47924 62808 64464 71886 88978 95848 125616 133467 143772 177956 191696 203677 206743 266934 287544 355912 407354 413486 533868 575088 611031 620229 711824 814708 826972 946499 1067736 1222062 1240458 1629416 1653944 1892998 2135472 2444124 2480916 2839497 3258832 3307888 3514631 3785996 4888248 4961832 5678994 7029262 7571992 9776496 9923664 10543893 11357988 14058524 15143984 16090483 21087786 22715976 28117048 31354277 32180966 42175572 45431952 48271449 56234096 62708554 64361932 84351144 94062831 96542898 125417108 128723864 168702288 188125662 193085796 250834216 257447728 376251324 386171592 501668432 533022709 752502648 772343184 1066045418 1505005296 1599068127 2132090836 2476987883 3198136254 4264181672 4953975766 6396272508 7430963649 8528363344 9907951532 12792545016 14861927298 19815903064 25585090032 29723854596 39631806128 42108794011 59447709192 84217588022 118895418384 126326382033 168435176044 252652764066 336870352088 505305528132 673740704176 1010611056264 2021222112528