Search a number
-
+
122100020020110 = 2351117271435718433
BaseRepresentation
bin11011110000110010100000…
…010100100000001110001110
3121000022122111022221100120210
4123300302200110200032032
5112000441320111120420
61111403550322023250
734501302214632336
oct3360624024401616
9530278438840523
10122100020020110
11359a5367184540
121183b9757a7b26
135318ca06900a2
14222195b4b20c6
15e1b17d4c49e0
hex6f0ca052038e

122100020020110 has 256 divisors, whose sum is σ = 339830191853568. Its totient is φ = 27748152115200.

The previous prime is 122100020020109. The next prime is 122100020020123. The reversal of 122100020020110 is 11020020001221.

It is a super-2 number, since 2×1221000200201102 (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 6623981454 + ... + 6623999886.

It is an arithmetic number, because the mean of its divisors is an integer number (1327461686928).

Almost surely, 2122100020020110 is an apocalyptic number.

122100020020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100020020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169915095926784).

122100020020110 is an abundant number, since it is smaller than the sum of its proper divisors (217730171833458).

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

122100020020110 is a wasteful number, since it uses less digits than its factorization.

122100020020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23099.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122100020020110 its reverse (11020020001221), we get a palindrome (133120040021331).

The spelling of 122100020020110 in words is "one hundred twenty-two trillion, one hundred billion, twenty million, twenty thousand, one hundred ten".