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100232122300020 = 22325607917372527
BaseRepresentation
bin10110110010100100011100…
…000010110111011001110100
3111010220002121221101010110200
4112302210130002313121310
5101114200341302100040
6553102000141120500
730053350300140564
oct2662443402673164
9433802557333420
10100232122300020
1129a34227aa0867
12b2a97a6b59130
1343c0b05425329
141aa7391150da4
15b8c402d3c630
hex5b291c0b7674

100232122300020 has 72 divisors (see below), whose sum is σ = 304538323375104. Its totient is φ = 26684532036288.

The previous prime is 100232122300001. The next prime is 100232122300027. The reversal of 100232122300020 is 20003221232001.

100232122300020 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 321 + 22 + 300 + 0 + 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 = 100232122299966 and 100232122300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232122300027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458577004 + ... + 458795523.

Almost surely, 2100232122300020 is an apocalyptic number.

100232122300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100232122300020 is an abundant number, since it is smaller than the sum of its proper divisors (204306201075084).

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

100232122300020 is a wasteful number, since it uses less digits than its factorization.

100232122300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917373149 (or 917373144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100232122300020 its reverse (20003221232001), we get a palindrome (120235343532021).

The spelling of 100232122300020 in words is "one hundred trillion, two hundred thirty-two billion, one hundred twenty-two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 607 1214 1821 2428 3035 3642 5463 6070 7284 9105 10926 12140 18210 21852 27315 36420 54630 109260 917372527 1834745054 2752117581 3669490108 4586862635 5504235162 8256352743 9173725270 11008470324 13760587905 16512705486 18347450540 27521175810 33025410972 41281763715 55042351620 82563527430 165127054860 556845123889 1113690247778 1670535371667 2227380495556 2784225619445 3341070743334 5011606115001 5568451238890 6682141486668 8352676858335 10023212230002 11136902477780 16705353716670 20046424460004 25058030575005 33410707433340 50116061150010 100232122300020