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102221000022000 = 24353169011008037
BaseRepresentation
bin10111001111100000101110…
…011001010001011111110000
3111101221020021020200201021210
4113033200232121101133300
5101344242102001201000
61001223402405120120
730350136446633256
oct2717405631213760
9441836236621253
10102221000022000
112a630756686542
12b56b1460b9040
13450652561b2b2
141b357467c05d6
15bc4009675350
hex5cf82e6517f0

102221000022000 has 160 divisors (see below), whose sum is σ = 329580330490944. Its totient is φ = 27257293440000.

The previous prime is 102221000021989. The next prime is 102221000022023. The reversal of 102221000022000 is 220000122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100901982 + ... + 101910018.

Almost surely, 2102221000022000 is an apocalyptic number.

102221000022000 is a gapful number since it is divisible by the number (10) 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 102221000022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164790165245472).

102221000022000 is an abundant number, since it is smaller than the sum of its proper divisors (227359330468944).

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

102221000022000 is a wasteful number, since it uses less digits than its factorization.

102221000022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024964 (or 1024948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102221000022000 its reverse (220000122201), we get a palindrome (102441000144201).

The spelling of 102221000022000 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 16901 33802 50703 67604 84505 101406 135208 169010 202812 253515 270416 338020 405624 422525 507030 676040 811248 845050 1008037 1014060 1267575 1352080 1690100 2016074 2028120 2112625 2535150 3024111 3380200 4032148 4056240 4225250 5040185 5070300 6048222 6337875 6760400 8064296 8450500 10080370 10140600 12096444 12675750 15120555 16128592 16901000 20160740 20281200 24192888 25200925 25351500 30241110 33802000 40321480 48385776 50401850 50703000 60482220 75602775 80642960 100803700 101406000 120964440 126004625 151205550 201607400 241928880 252009250 302411100 378013875 403214800 504018500 604822200 756027750 1008037000 1209644400 1512055500 2016074000 3024111000 6048222000 17036833337 34073666674 51110500011 68147333348 85184166685 102221000022 136294666696 170368333370 204442000044 255552500055 272589333392 340736666740 408884000088 425920833425 511105000110 681473333480 817768000176 851841666850 1022210000220 1277762500275 1362946666960 1703683333700 2044420000440 2129604167125 2555525000550 3407366667400 4088840000880 4259208334250 5111050001100 6388812501375 6814733334800 8518416668500 10222100002200 12777625002750 17036833337000 20444200004400 25555250005500 34073666674000 51110500011000 102221000022000