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2021101312212 = 223489180138917
BaseRepresentation
bin11101011010010011000…
…001101001100011010100
321011012211000200120120000
4131122103001221203110
5231103203413442322
64144251531211300
7266006526461523
oct35322301514324
97135730616500
102021101312212
1170a165000a94
122878528a6b30
1311878715c028
146db711364ba
153789078d3ac
hex1d6930698d4

2021101312212 has 120 divisors (see below), whose sum is σ = 5346027890280. Its totient is φ = 665743795200.

The previous prime is 2021101312159. The next prime is 2021101312393. The reversal of 2021101312212 is 2122131011202.

2021101312212 is a `hidden beast` number, since 20 + 21 + 101 + 312 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83754675216 + 1937346636996 = 289404^2 + 1391886^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 51914178 + ... + 51953094.

It is an arithmetic number, because the mean of its divisors is an integer number (44550232419).

Almost surely, 22021101312212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021101312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673013945140).

2021101312212 is an abundant number, since it is smaller than the sum of its proper divisors (3324926578068).

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

2021101312212 is a wasteful number, since it uses less digits than its factorization.

2021101312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40823 (or 40812 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2021101312212 its reverse (2122131011202), we get a palindrome (4143232323414).

The spelling of 2021101312212 in words is "two trillion, twenty-one billion, one hundred one million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 1068 1602 1801 2403 3204 3602 4806 5403 7204 7209 9612 10806 14418 16209 21612 28836 32418 38917 48627 64836 77834 97254 116751 145881 155668 160289 194508 233502 291762 320578 350253 467004 480867 583524 641156 700506 961734 1050759 1401012 1442601 1923468 2101518 2885202 3152277 3463613 4203036 4327803 5770404 6304554 6927226 8655606 10390839 12609108 12983409 13854452 17311212 20781678 25966818 31172517 41563356 51933636 62345034 70089517 93517551 124690068 140179034 187035102 210268551 280358068 280552653 374070204 420537102 561105306 630805653 841074204 1122210612 1261611306 1892416959 2523222612 3784833918 5677250877 6237967013 7569667836 11354501754 12475934026 18713901039 22709003508 24951868052 37427802078 56141703117 74855604156 112283406234 168425109351 224566812468 336850218702 505275328053 673700437404 1010550656106 2021101312212