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20211222211002 = 23237263497323203
BaseRepresentation
bin1001001100001110010101…
…01110000110100110111010
32122120011200211022120120200
410212013022232012212322
510122120040341223002
6110552523551103030
74154132633134134
oct446071256064672
978504624276520
1020211222211002
11649259303a489
1223250a1511a76
13b37baa590444
144dc32a934054
15250b1863eb1c
hex1261cab869ba

20211222211002 has 96 divisors (see below), whose sum is σ = 45156551476608. Its totient is φ = 6528472587648.

The previous prime is 20211222211001. The next prime is 20211222211007. The reversal of 20211222211002 is 20011222211202.

It is a happy number.

20211222211002 is a `hidden beast` number, since 20 + 211 + 222 + 211 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20211222211001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871049133 + ... + 871072335.

It is an arithmetic number, because the mean of its divisors is an integer number (470380744548).

Almost surely, 220211222211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211222211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22578275738304).

20211222211002 is an abundant number, since it is smaller than the sum of its proper divisors (24945329265606).

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

20211222211002 is a wasteful number, since it uses less digits than its factorization.

20211222211002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28484 (or 28481 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20211222211002 its reverse (20011222211202), we get a palindrome (40222444422204).

The spelling of 20211222211002 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 263 333 526 666 789 1578 2367 4734 4973 9731 9946 14919 19462 23203 29193 29838 44757 46406 58386 69609 87579 89514 139218 175158 184001 208827 368002 417654 552003 858511 1104006 1307899 1656009 1717022 2575533 2615798 3312018 3923697 5151066 6102389 7726599 7847394 11771091 12204778 15453198 18307167 23542182 36614334 48392263 54921501 96784526 109843002 115388519 145176789 225788393 230777038 290353578 346165557 435530367 451576786 677365179 692331114 871060734 1038496671 1354730358 2032095537 2076993342 4064191074 4269375203 8538750406 12808125609 25616251218 30347180497 38424376827 60694360994 76848753654 91041541491 182083082982 273124624473 546249248946 1122845678389 2245691356778 3368537035167 6737074070334 10105611105501 20211222211002