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21000220101102 = 231123373229115793
BaseRepresentation
bin1001100011001011111101…
…01010001100100111101110
32202100121020110001020002110
410301211332222030213232
510223031422321213402
6112355211250104450
74265134013425044
oct461457652144756
982317213036073
1021000220101102
116767163855170
122431b9727b126
13b9440a053cc8
145285b79da394
152663e5ac756c
hex13197ea8c9ee

21000220101102 has 128 divisors (see below), whose sum is σ = 49118592015360. Its totient is φ = 5920620963840.

The previous prime is 21000220101101. The next prime is 21000220101109. The reversal of 21000220101102 is 20110102200012.

It is a super-2 number, since 2×210002201011022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000220101101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181302118 + ... + 181417910.

It is an arithmetic number, because the mean of its divisors is an integer number (383739000120).

Almost surely, 221000220101102 is an apocalyptic number.

21000220101102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000220101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24559296007680).

21000220101102 is an abundant number, since it is smaller than the sum of its proper divisors (28118371914258).

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

21000220101102 is a wasteful number, since it uses less digits than its factorization.

21000220101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119098.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000220101102 its reverse (20110102200012), we get a palindrome (41110322301114).

The spelling of 21000220101102 in words is "twenty-one trillion, two hundred twenty million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 407 506 759 814 851 1221 1518 1702 2442 2553 3229 5106 6458 9361 9687 18722 19374 28083 35519 56166 71038 74267 106557 115793 119473 148534 213114 222801 231586 238946 347379 358419 445602 694758 716838 816937 1273723 1314203 1633874 2450811 2547446 2628406 2663239 2747879 3821169 3942609 4284341 4901622 5326478 5495758 7642338 7885218 7989717 8243637 8568682 12853023 15979434 16487274 25706046 29295629 30226669 47127751 58591258 60453338 87886887 90680007 94255502 98539843 141383253 175773774 181360014 197079686 282766506 295619529 373895597 591239058 747791194 1083938273 1121686791 2167876546 2243373582 3251814819 4112851567 6503629638 8225703134 8599598731 12338554701 13834137089 17199197462 24677109402 25798796193 27668274178 41502411267 51597592386 83004822534 94595586041 152175507979 189191172082 283786758123 304351015958 318185153047 456526523937 567573516246 636370306094 913053047874 954555459141 1909110918282 3500036683517 7000073367034 10500110050551 21000220101102