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22113020022100 = 2252724512861229
BaseRepresentation
bin1010000011100100101101…
…01101000000110101010100
32220021222120101102100111021
411001302112231000311110
510344244431111201400
6115010325310250524
74441420151613400
oct501622655006524
986258511370437
1022113020022100
117056096354267
1225917997b6a44
13c45330919a17
145663c102a100
1528532515771a
hex141c96b40d54

22113020022100 has 54 divisors (see below), whose sum is σ = 55819580553870. Its totient is φ = 7581606863040.

The previous prime is 22113020022097. The next prime is 22113020022109. The reversal of 22113020022100 is 122002031122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10553863824 + 22102466158276 = 102732^2 + 4701326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113020022109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2256425715 + ... + 2256435514.

Almost surely, 222113020022100 is an apocalyptic number.

22113020022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22113020022100 is an abundant number, since it is smaller than the sum of its proper divisors (33706560531770).

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

22113020022100 is a wasteful number, since it uses less digits than its factorization.

22113020022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512861257 (or 4512861243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22113020022100 its reverse (122002031122), we get a palindrome (22235022053222).

The spelling of 22113020022100 in words is "twenty-two trillion, one hundred thirteen billion, twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 4512861229 9025722458 18051444916 22564306145 31590028603 45128612290 63180057206 90257224580 112821530725 126360114412 157950143015 221130200221 225643061450 315900286030 442260400442 451286122900 631800572060 789750715075 884520800884 1105651001105 1579501430150 2211302002210 3159002860300 4422604004420 5528255005525 11056510011050 22113020022100