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1002210110200 = 235213577668051
BaseRepresentation
bin11101001010110000110…
…00001010101011111000
310112210212202010122201101
432211120120022223320
5112410011242011300
62044224200501144
7132256462244005
oct16453030125370
93483782118641
101002210110200
11357042530452
1214229a17a7b4
137367b129c60
1436715b968ac
151b10a7cdb6a
hexe95860aaf8

1002210110200 has 96 divisors (see below), whose sum is σ = 2513732704560. Its totient is φ = 369404928000.

The previous prime is 1002210110159. The next prime is 1002210110207. The reversal of 1002210110200 is 20110122001.

It is a super-2 number, since 2×10022101102002 (a number of 25 digits) contains 22 as substring.

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 (1002210110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166175 + ... + 1834225.

Almost surely, 21002210110200 is an apocalyptic number.

1002210110200 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 1002210110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256866352280).

1002210110200 is an abundant number, since it is smaller than the sum of its proper divisors (1511522594360).

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

1002210110200 is a wasteful number, since it uses less digits than its factorization.

1002210110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668657 (or 668648 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002210110200 its reverse (20110122001), we get a palindrome (1022320232201).

The spelling of 1002210110200 in words is "one trillion, two billion, two hundred ten million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 577 650 1154 1300 2308 2600 2885 4616 5770 7501 11540 14425 15002 23080 28850 30004 37505 57700 60008 75010 115400 150020 187525 300040 375050 668051 750100 1336102 1500200 2672204 3340255 5344408 6680510 8684663 13361020 16701275 17369326 26722040 33402550 34738652 43423315 66805100 69477304 86846630 133610200 173693260 217116575 347386520 385465427 434233150 770930854 868466300 1541861708 1736932600 1927327135 3083723416 3854654270 5011050551 7709308540 9636635675 10022101102 15418617080 19273271350 20044202204 25055252755 38546542700 40088404408 50110505510 77093085400 100221011020 125276263775 200442022040 250552527550 501105055100 1002210110200