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20002200102 = 23417232910889
BaseRepresentation
bin10010101000001110…
…010101101000100110
31220121222200001020000
4102220032111220212
5311431030400402
613104444322130
71305446616123
oct225016255046
956558601200
1020002200102
1185347a1a95
123a62843346
131b69c98181
14d7a6d974a
157c1052c1c
hex4a8395a26

20002200102 has 160 divisors (see below), whose sum is σ = 51231787200. Its totient is φ = 5794854912.

The previous prime is 20002200077. The next prime is 20002200149. The reversal of 20002200102 is 20100220002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1831474 + ... + 1842362.

It is an arithmetic number, because the mean of its divisors is an integer number (320198670).

Almost surely, 220002200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615893600).

20002200102 is an abundant number, since it is smaller than the sum of its proper divisors (31229587098).

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

20002200102 is a wasteful number, since it uses less digits than its factorization.

20002200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20002200102 its reverse (20100220002), we get a palindrome (40102420104).

The spelling of 20002200102 in words is "twenty billion, two million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 23 27 29 34 46 51 54 58 69 81 87 102 138 153 162 174 207 261 306 391 414 459 493 522 621 667 782 783 918 986 1173 1242 1334 1377 1479 1566 1863 2001 2346 2349 2754 2958 3519 3726 4002 4437 4698 6003 7038 8874 10557 10889 11339 12006 13311 18009 21114 21778 22678 26622 31671 32667 34017 36018 39933 54027 63342 65334 68034 79866 98001 102051 108054 185113 196002 204102 250447 294003 306153 315781 370226 500894 555339 588006 612306 631562 751341 882009 918459 947343 1110678 1502682 1666017 1764018 1836918 1894686 2254023 2842029 3332034 4257599 4508046 4998051 5368277 5684058 6762069 7262963 8515198 8526087 9996102 10736554 12772797 13524138 14525926 14994153 16104831 17052174 20286207 21788889 25545594 25578261 29988306 32209662 38318391 40572414 43577778 48314493 51156522 65366667 76636782 96628986 114955173 123470371 130733334 144943479 196100001 229910346 246940742 289886958 344865519 370411113 392200002 434830437 588300003 689731038 740822226 869660874 1111233339 1176600006 2222466678 3333700017 6667400034 10001100051 20002200102