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10201200100 = 22527131121011
BaseRepresentation
bin10011000000000100…
…11111010111100100
3222022221100122202221
421200002133113210
5131343001400400
64404131042124
7510536525110
oct114002372744
928287318687
1010201200100
114365347693
121b88440344
13c675a4aa0
146cab78740
153ea8a2c1a
hex26009f5e4

10201200100 has 72 divisors (see below), whose sum is σ = 27245075648. Its totient is φ = 3228508800.

The previous prime is 10201200089. The next prime is 10201200103. The reversal of 10201200100 is 100210201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10201200103) 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, 551406 + ... + 569605.

Almost surely, 210201200100 is an apocalyptic number.

10201200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201200100 is an abundant number, since it is smaller than the sum of its proper divisors (17043875548).

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

10201200100 is a wasteful number, since it uses less digits than its factorization.

10201200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121045 (or 1121038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10201200100 its reverse (100210201), we get a palindrome (10301410301).

The spelling of 10201200100 in words is "ten billion, two hundred one million, two hundred 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 1121011 2242022 4484044 5605055 7847077 11210110 14573143 15694154 22420220 28025275 29146286 31388308 39235385 56050550 58292572 72865715 78470770 102012001 112101100 145731430 156941540 196176925 204024002 291462860 364328575 392353850 408048004 510060005 728657150 784707700 1020120010 1457314300 2040240020 2550300025 5100600050 10201200100