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10212002200 = 23521915717117
BaseRepresentation
bin10011000001010111…
…01100100110011000
3222100200200110110201
421200223230212120
5131403233032300
64405154351544
7511030405111
oct114053544630
928320613421
1010212002200
114370455444
121b8bb8b5b4
13c698b776a
146cc38b208
153eb7d866a
hex260aec998

10212002200 has 96 divisors (see below), whose sum is σ = 25153189200. Its totient is φ = 3844938240.

The previous prime is 10212002167. The next prime is 10212002201. The reversal of 10212002200 is 220021201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212002201) 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, 588042 + ... + 605158.

Almost surely, 210212002200 is an apocalyptic number.

10212002200 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 10212002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576594600).

10212002200 is an abundant number, since it is smaller than the sum of its proper divisors (14941187000).

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

10212002200 is a wasteful number, since it uses less digits than its factorization.

10212002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17309 (or 17300 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10212002200 its reverse (220021201), we get a palindrome (10432023401).

The spelling of 10212002200 in words is "ten billion, two hundred twelve million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 157 190 200 314 380 475 628 760 785 950 1256 1570 1900 2983 3140 3800 3925 5966 6280 7850 11932 14915 15700 17117 23864 29830 31400 34234 59660 68468 74575 85585 119320 136936 149150 171170 298300 325223 342340 427925 596600 650446 684680 855850 1300892 1626115 1711700 2601784 2687369 3252230 3423400 5374738 6504460 8130575 10749476 13008920 13436845 16261150 21498952 26873690 32522300 51060011 53747380 65044600 67184225 102120022 107494760 134368450 204240044 255300055 268736900 408480088 510600110 537473800 1021200220 1276500275 2042400440 2553000550 5106001100 10212002200