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2114232011220 = 2235731416759113
BaseRepresentation
bin11110110001000010000…
…011000100100111010100
321111010012110112021100110
4132301002003010213110
5234114421343324340
64255133105243020
7305514432402450
oct36610203044724
97433173467313
102114232011220
1174570594162a
122a1904033470
131244a9767514
1474487b3d660
1539ee18c9680
hex1ec420c49d4

2114232011220 has 384 divisors, whose sum is σ = 7261022748672. Its totient is φ = 449440358400.

The previous prime is 2114232011173. The next prime is 2114232011257. The reversal of 2114232011220 is 221102324112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35736384 + ... + 35795496.

It is an arithmetic number, because the mean of its divisors is an integer number (18908913408).

Almost surely, 22114232011220 is an apocalyptic number.

2114232011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114232011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630511374336).

2114232011220 is an abundant number, since it is smaller than the sum of its proper divisors (5146790737452).

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

2114232011220 is a wasteful number, since it uses less digits than its factorization.

2114232011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59271 (or 59269 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2114232011220 its reverse (221102324112), we get a palindrome (2335334335332).

The spelling of 2114232011220 in words is "two trillion, one hundred fourteen billion, two hundred thirty-two million, eleven thousand, two hundred twenty".