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100223332020 = 22335726514109
BaseRepresentation
bin101110101010111000…
…1101010111010110100
3100120200201212210012000
41131111301222322310
53120224133111040
6114013021455300
710145425160160
oct1352561527264
9316621783160
10100223332020
1139560504819
1217510711530
1395b2b75976
144bca997ca0
152918b52130
hex1755c6aeb4

100223332020 has 96 divisors (see below), whose sum is σ = 356349638400. Its totient is φ = 22908189312.

The previous prime is 100223332007. The next prime is 100223332021. The reversal of 100223332020 is 20233322001.

It is a happy number.

100223332020 is a `hidden beast` number, since 100 + 223 + 3 + 320 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100223331984 and 100223332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223332021) 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, 13253275 + ... + 13260834.

It is an arithmetic number, because the mean of its divisors is an integer number (3711975400).

Almost surely, 2100223332020 is an apocalyptic number.

100223332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100223332020 is an abundant number, since it is smaller than the sum of its proper divisors (256126306380).

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

100223332020 is a wasteful number, since it uses less digits than its factorization.

100223332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26514134 (or 26514126 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100223332020 its reverse (20233322001), we get a palindrome (120456654021).

The spelling of 100223332020 in words is "one hundred billion, two hundred twenty-three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 26514109 53028218 79542327 106056436 132570545 159084654 185598763 238626981 265141090 318169308 371197526 397711635 477253962 530282180 556796289 715880943 742395052 795423270 927993815 954507924 1113592578 1193134905 1431761886 1590846540 1670388867 1855987630 2227185156 2386269810 2783981445 2863523772 3340777734 3579404715 3711975260 4772539620 5011166601 5567962890 6681555468 7158809430 8351944335 10022333202 11135925780 14317618860 16703888670 20044666404 25055833005 33407777340 50111666010 100223332020