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100212122220 = 223571132111507
BaseRepresentation
bin101110101010100011…
…0111010001001101100
3100120122221210021020020
41131111012322021230
53120213300402340
6114011541322140
710145230661430
oct1352506721154
9316587707206
10100212122220
1139555148721
1217508a06350
1395b074c552
144bc92ba9c0
152917b8a9d0
hex17551ba26c

100212122220 has 96 divisors (see below), whose sum is σ = 323516809728. Its totient is φ = 22702912512.

The previous prime is 100212122191. The next prime is 100212122221. The reversal of 100212122220 is 22221212001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100212122220.

It is not an unprimeable number, because it can be changed into a prime (100212122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008294 + ... + 1103213.

It is an arithmetic number, because the mean of its divisors is an integer number (3369966768).

Almost surely, 2100212122220 is an apocalyptic number.

100212122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212122220 is an abundant number, since it is smaller than the sum of its proper divisors (223304687508).

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

100212122220 is a wasteful number, since it uses less digits than its factorization.

100212122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111639 (or 2111637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100212122220 its reverse (22221212001), we get a palindrome (122433334221).

The spelling of 100212122220 in words is "one hundred billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 23730 47460 2111507 4223014 6334521 8446028 10557535 12669042 14780549 21115070 25338084 29561098 31672605 42230140 44341647 59122196 63345210 73902745 88683294 126690420 147805490 177366588 221708235 238600291 295610980 443416470 477200582 715800873 886832940 954401164 1193001455 1431601746 1670202037 2386002910 2863203492 3340404074 3579004365 4772005820 5010606111 6680808148 7158008730 8351010185 10021212222 14316017460 16702020370 20042424444 25053030555 33404040740 50106061110 100212122220