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103201020320100 = 223523283910475453
BaseRepresentation
bin10111011101110001011100…
…001010000001100101100100
3111112101220212112210010021120
4113131301130022001211210
5102011321142200220400
61003253521053213540
730511012330005453
oct2735613412014544
9445356775703246
10103201020320100
112a9793415866aa
12b6a9070a912b0
134577a78498201
141b6ad55506b9a
15bde766d2eca0
hex5ddc5c281964

103201020320100 has 72 divisors (see below), whose sum is σ = 298604073324480. Its totient is φ = 27519431422080.

The previous prime is 103201020320053. The next prime is 103201020320119. The reversal of 103201020320100 is 1023020102301.

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 103201020320100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4613974 + ... + 15089426.

Almost surely, 2103201020320100 is an apocalyptic number.

103201020320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103201020320100 is an abundant number, since it is smaller than the sum of its proper divisors (195403053004380).

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

103201020320100 is a wasteful number, since it uses less digits than its factorization.

103201020320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508309 (or 10508302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103201020320100 its reverse (1023020102301), we get a palindrome (104224040422401).

The spelling of 103201020320100 in words is "one hundred three trillion, two hundred one billion, twenty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 32839 65678 98517 131356 164195 197034 328390 394068 492585 656780 820975 985170 1641950 1970340 2462925 3283900 4925850 9851700 10475453 20950906 31426359 41901812 52377265 62852718 104754530 125705436 157131795 209509060 261886325 314263590 523772650 628527180 785658975 1047545300 1571317950 3142635900 344003401067 688006802134 1032010203201 1376013604268 1720017005335 2064020406402 3440034010670 4128040812804 5160051016005 6880068021340 8600085026675 10320102032010 17200170053350 20640204064020 25800255080025 34400340106700 51600510160050 103201020320100