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100020020022 = 234133281023
BaseRepresentation
bin101110100100110101…
…0000110001100110110
3100120011120022110120000
41131021222012030312
53114320111120042
6113540520052130
710140406066626
oct1351152061466
9316146273500
10100020020022
113946676a47a
1217474604046
13957c9cc000
144bab992886
152905d9174c
hex1749a86336

100020020022 has 80 divisors (see below), whose sum is σ = 242787874560. Its totient is φ = 30775281264.

The previous prime is 100020019903. The next prime is 100020020027. The reversal of 100020020022 is 220020020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100020019986 and 100020020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020020027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215403 + ... + 496425.

It is an arithmetic number, because the mean of its divisors is an integer number (3034848432).

Almost surely, 2100020020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121393937280).

100020020022 is an abundant number, since it is smaller than the sum of its proper divisors (142767854538).

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

100020020022 is an equidigital number, since it uses as much as digits as its factorization.

100020020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281076 (or 281041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100020020022 its reverse (220020020001), we get a palindrome (320040040023).

The spelling of 100020020022 in words is "one hundred billion, twenty million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 2197 3042 4394 4563 6591 9126 13182 13689 19773 27378 39546 59319 118638 177957 281023 355914 562046 843069 1686138 2529207 3653299 5058414 7306598 7587621 10959897 15175242 21919794 22762863 32879691 45525726 47492887 65759382 94985774 98639073 142478661 197278146 284957322 295917219 427435983 591834438 617407531 854871966 1234815062 1282307949 1852222593 2564615898 3704445186 3846923847 5556667779 7693847694 11113335558 16670003337 33340006674 50010010011 100020020022