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10010000100 = 22352436731153
BaseRepresentation
bin10010101001010010…
…00111101011100100
3221211121120200200110
421110221013223210
5131000030000400
64333141013020
7503025411522
oct112451075344
927747520613
1010010000100
114277425261
121b343b4170
13c36aac0a9
146ad607312
153d8bd5e50
hex254a47ae4

10010000100 has 144 divisors (see below), whose sum is σ = 29705584832. Its totient is φ = 2601123840.

The previous prime is 10010000059. The next prime is 10010000111. The reversal of 10010000100 is 100001001.

Adding to 10010000100 its reverse (100001001), we get a palindrome (10110001101).

Subtracting from 10010000100 its reverse (100001001), we obtain a palindrome (9909999099).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8681124 + ... + 8682276.

Almost surely, 210010000100 is an apocalyptic number.

10010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852792416).

10010000100 is an abundant number, since it is smaller than the sum of its proper divisors (19695584732).

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

10010000100 is a wasteful number, since it uses less digits than its factorization.

10010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The spelling of 10010000100 in words is "ten billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 673 860 1075 1153 1290 1346 2019 2150 2306 2580 2692 3225 3365 3459 4038 4300 4612 5765 6450 6730 6918 8076 10095 11530 12900 13460 13836 16825 17295 20190 23060 28825 28939 33650 34590 40380 49579 50475 57650 57878 67300 69180 86475 86817 99158 100950 115300 115756 144695 148737 172950 173634 198316 201900 247895 289390 297474 345900 347268 434085 495790 578780 594948 723475 743685 775969 868170 991580 1239475 1446950 1487370 1551938 1736340 2170425 2327907 2478950 2893900 2974740 3103876 3718425 3879845 4340850 4655814 4957900 7436850 7759690 8681700 9311628 11639535 14873700 15519380 19399225 23279070 33366667 38798450 46558140 58197675 66733334 77596900 100100001 116395350 133466668 166833335 200200002 232790700 333666670 400400004 500500005 667333340 834166675 1001000010 1668333350 2002000020 2502500025 3336666700 5005000050 10010000100