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203102102100 = 223524315744349
BaseRepresentation
bin1011110100100111010…
…1000010001001010100
3201102020112102210120210
42331021311002021110
511311423114231400
6233145342525420
720450026245312
oct2751165021124
9642215383523
10203102102100
1179153929447
1233442596870
13161c9c01c51
149b8a0a50b2
15543a985950
hex2f49d42254

203102102100 has 72 divisors (see below), whose sum is σ = 601308215200. Its totient is φ = 52901009280.

The previous prime is 203102102059. The next prime is 203102102101. The reversal of 203102102100 is 1201201302.

203102102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203102102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7859275 + ... + 7885074.

Almost surely, 2203102102100 is an apocalyptic number.

203102102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203102102100 is an abundant number, since it is smaller than the sum of its proper divisors (398206113100).

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

203102102100 is a wasteful number, since it uses less digits than its factorization.

203102102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15744409 (or 15744402 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 203102102100 its reverse (1201201302), we get a palindrome (204303303402).

The spelling of 203102102100 in words is "two hundred three billion, one hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 15744349 31488698 47233047 62977396 78721745 94466094 157443490 188932188 236165235 314886980 393608725 472330470 677007007 787217450 944660940 1180826175 1354014014 1574434900 2031021021 2361652350 2708028028 3385035035 4062042042 4723304700 6770070070 8124084084 10155105105 13540140140 16925175175 20310210210 33850350350 40620420420 50775525525 67700700700 101551051050 203102102100