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2100212211020 = 2257113733656231
BaseRepresentation
bin11110100011111110011…
…001110001110101001100
321102210000101210122000012
4132203332121301311030
5233402213311223040
64244454004252352
7304510134146420
oct36437631616514
97383011718005
102100212211020
1173a77104a1a0
1229b0509a10b8
13123084015161
1473917b90b80
1539970b84865
hex1e8fe671d4c

2100212211020 has 96 divisors (see below), whose sum is σ = 5513480856576. Its totient is φ = 652856428800.

The previous prime is 2100212211001. The next prime is 2100212211047. The reversal of 2100212211020 is 201122120012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2100212210986 and 2100212211004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253696 + ... + 2402535.

It is an arithmetic number, because the mean of its divisors is an integer number (57432092256).

Almost surely, 22100212211020 is an apocalyptic number.

2100212211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100212211020 is an abundant number, since it is smaller than the sum of its proper divisors (3413268645556).

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

2100212211020 is a wasteful number, since it uses less digits than its factorization.

2100212211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656631 (or 3656629 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100212211020 its reverse (201122120012), we get a palindrome (2301334331032).

The spelling of 2100212211020 in words is "two trillion, one hundred billion, two hundred twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 373 385 746 770 1492 1540 1865 2611 3730 4103 5222 7460 8206 10444 13055 16412 20515 26110 28721 41030 52220 57442 82060 114884 143605 287210 574420 3656231 7312462 14624924 18281155 25593617 36562310 40218541 51187234 73124620 80437082 102374468 127968085 160874164 201092705 255936170 281529787 402185410 511872340 563059574 804370820 1126119148 1363774163 1407648935 2727548326 2815297870 5455096652 5630595740 6818870815 9546419141 13637741630 15001515793 19092838282 27275483260 30003031586 38185676564 47732095705 60006063172 75007578965 95464191410 105010610551 150015157930 190928382820 210021221102 300030315860 420042442204 525053052755 1050106105510 2100212211020