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100212110220 = 22353315718837
BaseRepresentation
bin101110101010100011…
…0110111001110001100
3100120122221202122202210
41131111012313032030
53120213300011340
6114011541150420
710145230611435
oct1352506671614
9316587678683
10100212110220
113955513a702
12175089bb410
1395b0746c51
144bc92b648c
152917b87180
hex17551b738c

100212110220 has 96 divisors (see below), whose sum is σ = 281966420736. Its totient is φ = 26592825600.

The previous prime is 100212110177. The next prime is 100212110231. The reversal of 100212110220 is 22011212001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100212110196 and 100212110205.

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, 11335642 + ... + 11344478.

It is an arithmetic number, because the mean of its divisors is an integer number (2937150216).

Almost surely, 2100212110220 is an apocalyptic number.

100212110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212110220 is an abundant number, since it is smaller than the sum of its proper divisors (181754310516).

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

100212110220 is a wasteful number, since it uses less digits than its factorization.

100212110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9751 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212110220 its reverse (22011212001), we get a palindrome (122223322221).

The spelling of 100212110220 in words is "one hundred billion, two hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 571 662 993 1142 1324 1655 1713 1986 2284 2855 3310 3426 3972 4965 5710 6620 6852 8565 8837 9930 11420 17130 17674 19860 26511 34260 35348 44185 53022 88370 106044 132555 176740 189001 265110 378002 530220 567003 756004 945005 1134006 1890010 2268012 2835015 2925047 3780020 5045927 5670030 5850094 8775141 10091854 11340060 11700188 14625235 15137781 17550282 20183708 25229635 29250470 30275562 35100564 43875705 50459270 58500940 60551124 75688905 87751410 100918540 151377810 175502820 302755620 1670201837 3340403674 5010605511 6680807348 8351009185 10021211022 16702018370 20042422044 25053027555 33404036740 50106055110 100212110220