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2021000211100 = 22521352112792333
BaseRepresentation
bin11101011010001100111…
…111111110101010011100
321011012112222110002220101
4131122030333332222130
5231103002023223400
64144233520230444
7266004161232223
oct35321477765234
97135488402811
102021000211100
1170a112a28252
12287824a6b424
1311876c2212a0
146db61939cba
153788696c56a
hex1d68cffea9c

2021000211100 has 144 divisors (see below), whose sum is σ = 4737716766720. Its totient is φ = 743881881600.

The previous prime is 2021000211091. The next prime is 2021000211143. The reversal of 2021000211100 is 11120001202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866265534 + ... + 866267866.

It is an arithmetic number, because the mean of its divisors is an integer number (32900810880).

Almost surely, 22021000211100 is an apocalyptic number.

2021000211100 is a gapful number since it is divisible by the number (20) 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 2021000211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368858383360).

2021000211100 is an abundant number, since it is smaller than the sum of its proper divisors (2716716555620).

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

2021000211100 is a wasteful number, since it uses less digits than its factorization.

2021000211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4153 counting only the distinct ones).

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

Adding to 2021000211100 its reverse (11120001202), we get a palindrome (2032120212302).

The spelling of 2021000211100 in words is "two trillion, twenty-one billion, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 521 650 1042 1279 1300 2084 2333 2558 2605 4666 5116 5210 6395 6773 9332 10420 11665 12790 13025 13546 16627 23330 25580 26050 27092 30329 31975 33254 33865 46660 52100 58325 60658 63950 66508 67730 83135 116650 121316 127900 135460 151645 166270 169325 233300 303290 332540 338650 415675 606580 666359 677300 758225 831350 1215493 1332718 1516450 1662700 2430986 2665436 2983907 3032900 3331795 4861972 5967814 6077465 6663590 8662667 11935628 12154930 13327180 14919535 15801409 16658975 17325334 24309860 29839070 30387325 31602818 33317950 34650668 38790791 43313335 59678140 60774650 63205636 66635900 74597675 77581582 79007045 86626670 121549300 149195350 155163164 158014090 173253340 193953955 216566675 298390700 316028180 387907910 395035225 433133350 775815820 790070450 866266700 969769775 1554615547 1580140900 1939539550 3109231094 3879079100 6218462188 7773077735 15546155470 20210002111 31092310940 38865388675 40420004222 77730777350 80840008444 101050010555 155461554700 202100021110 404200042220 505250052775 1010500105550 2021000211100