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100302213022220 = 225112693382950101
BaseRepresentation
bin10110110011100101101101…
…110001110000001000001100
3111011010210112200102201210202
4112303211231301300020030
5101121322413013202340
6553154111152353032
730061411225351466
oct2663455561601014
9434123480381722
10100302213022220
1129a60a25417860
12b2bb2a8245778
1343c75c55b5551
141aaa91dc21136
15b8e1563bdc15
hex5b396dc7020c

100302213022220 has 96 divisors (see below), whose sum is σ = 230648885812800. Its totient is φ = 36336143232000.

The previous prime is 100302213022213. The next prime is 100302213022229. The reversal of 100302213022220 is 22220312203001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100302213022192 and 100302213022201.

It is not an unprimeable number, because it can be changed into a prime (100302213022229) 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, 2001975170 + ... + 2002025270.

It is an arithmetic number, because the mean of its divisors is an integer number (2402592560550).

Almost surely, 2100302213022220 is an apocalyptic number.

100302213022220 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 100302213022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115324442906400).

100302213022220 is an abundant number, since it is smaller than the sum of its proper divisors (130346672790580).

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

100302213022220 is a wasteful number, since it uses less digits than its factorization.

100302213022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84219 (or 84217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100302213022220 its reverse (22220312203001), we get a palindrome (122522525225221).

The spelling of 100302213022220 in words is "one hundred trillion, three hundred two billion, two hundred thirteen million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 269 538 1076 1345 2690 2959 5380 5918 11836 14795 29590 33829 50101 59180 67658 100202 135316 169145 200404 250505 338290 372119 501010 551111 676580 744238 1002020 1102222 1488476 1860595 2204444 2755555 3721190 5511110 7442380 9100001 11022220 13477169 18200002 26954338 36400004 45500005 53908676 67385845 91000010 100100011 134771690 148248859 182000020 200200022 269543380 296497718 400400044 500500055 592995436 741244295 1001000110 1482488590 1694866729 2002000220 2964977180 3389733458 6779466916 8474333645 16948667290 18643534019 33897334580 37287068038 74574136076 93217670095 186435340190 372870680380 455919150101 911838300202 1823676600404 2279595750505 4559191501010 5015110651111 9118383002020 10030221302222 20060442604444 25075553255555 50151106511110 100302213022220