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100101010100 = 225271311000111
BaseRepresentation
bin101110100111001111…
…1000011001010110100
3100120101012201012001112
41131032133003022310
53120001324310400
6113552532014152
710142411355410
oct1351637031264
9316335635045
10100101010100
11394a8457523
1217497761358
139593717c30
144bb8635d40
15290d03d835
hex174e7c32b4

100101010100 has 72 divisors (see below), whose sum is σ = 267346722048. Its totient is φ = 31680316800.

The previous prime is 100101010099. The next prime is 100101010103. The reversal of 100101010100 is 1010101001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5490956 + ... + 5509155.

Almost surely, 2100101010100 is an apocalyptic number.

100101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101010100 is an abundant number, since it is smaller than the sum of its proper divisors (167245711948).

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

100101010100 is a wasteful number, since it uses less digits than its factorization.

100101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000145 (or 11000138 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100101010100 its reverse (1010101001), we get a palindrome (101111111101).

Subtracting from 100101010100 its reverse (1010101001), we obtain a palindrome (99090909099).

The spelling of 100101010100 in words is "one hundred billion, one hundred one million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 11000111 22000222 44000444 55000555 77000777 110001110 143001443 154001554 220002220 275002775 286002886 308003108 385003885 550005550 572005772 715007215 770007770 1001010101 1100011100 1430014430 1540015540 1925019425 2002020202 2860028860 3575036075 3850038850 4004040404 5005050505 7150072150 7700077700 10010101010 14300144300 20020202020 25025252525 50050505050 100101010100