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20211222330100 = 22521449731394137
BaseRepresentation
bin1001001100001110010101…
…01110100011101011110100
32122120011200211112121221201
410212013022232203223310
510122120040404030400
6110552523553422244
74154132634141304
oct446071256435364
978504624477851
1020211222330100
116492593110a0a
1223250a156a984
13b37baa602709
144dc32a965604
15250b1866506a
hex1261caba3af4

20211222330100 has 36 divisors (see below), whose sum is σ = 43858686443404. Its totient is φ = 8084427367680.

The previous prime is 20211222330067. The next prime is 20211222330113. The reversal of 20211222330100 is 103322211202.

It can be written as a sum of positive squares in 6 ways, for example, as 137578679056 + 20073643651044 = 370916^2 + 4480362^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13800232 + ... + 15194368.

Almost surely, 220211222330100 is an apocalyptic number.

20211222330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211222330100 is an abundant number, since it is smaller than the sum of its proper divisors (23647464113304).

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

20211222330100 is a wasteful number, since it uses less digits than its factorization.

20211222330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539124 (or 1539117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20211222330100 its reverse (103322211202), we get a palindrome (20314544541302).

The spelling of 20211222330100 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 144973 289946 579892 724865 1394137 1449730 2788274 2899460 3624325 5576548 6970685 7248650 13941370 14497300 27882740 34853425 69706850 139413700 202112223301 404224446602 808448893204 1010561116505 2021122233010 4042244466020 5052805582525 10105611165050 20211222330100