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100020002223000 = 23353167199640723
BaseRepresentation
bin10110101111011110111000…
…101100111111001110011000
3111010010211002221000201220210
4112233132320230333032120
5101102211431032114000
6552420315451451120
730032130616215216
oct2657367054771630
9433124087021823
10100020002223000
1129962276814392
12b274668456aa0
1343a6acc11b662
141a9adcb515cb6
15b86b3a829350
hex5af7b8b3f398

100020002223000 has 128 divisors (see below), whose sum is σ = 313931045675520. Its totient is φ = 26512287881600.

The previous prime is 100020002222957. The next prime is 100020002223019. The reversal of 100020002223000 is 322200020001.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99319362 + ... + 100321361.

It is an arithmetic number, because the mean of its divisors is an integer number (2452586294340).

Almost surely, 2100020002223000 is an apocalyptic number.

100020002223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020002223000 is an abundant number, since it is smaller than the sum of its proper divisors (213911043452520).

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

100020002223000 is a wasteful number, since it uses less digits than its factorization.

100020002223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199640914 (or 199640900 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100020002223000 its reverse (322200020001), we get a palindrome (100342202243001).

The spelling of 100020002223000 in words is "one hundred trillion, twenty billion, two million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 167 200 250 300 334 375 500 501 600 668 750 835 1000 1002 1336 1500 1670 2004 2505 3000 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 20875 25050 33400 41750 50100 62625 83500 100200 125250 167000 250500 501000 199640723 399281446 598922169 798562892 998203615 1197844338 1597125784 1996407230 2395688676 2994610845 3992814460 4791377352 4991018075 5989221690 7985628920 9982036150 11978443380 14973054225 19964072300 23956886760 24955090375 29946108450 33340000741 39928144600 49910180750 59892216900 66680001482 74865271125 99820361500 100020002223 119784433800 133360002964 149730542250 166700003705 199640723000 200040004446 266720005928 299461084500 333400007410 400080008892 500100011115 598922169000 666800014820 800160017784 833500018525 1000200022230 1333600029640 1667000037050 2000400044460 2500500055575 3334000074100 4000800088920 4167500092625 5001000111150 6668000148200 8335000185250 10002000222300 12502500277875 16670000370500 20004000444600 25005000555750 33340000741000 50010001111500 100020002223000