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22123023120 = 24325114316481
BaseRepresentation
bin10100100110101000…
…101000101100010000
32010002210101000110200
4110212220220230100
5330301443214440
614055125055200
71412141410452
oct244650505420
963083330420
1022123023120
119422962790
124354b57500
132117496c33
1410dc2462d2
1589732ec30
hex526a28b10

22123023120 has 240 divisors, whose sum is σ = 81251299584. Its totient is φ = 5349888000.

The previous prime is 22123023119. The next prime is 22123023149. The reversal of 22123023120 is 2132032122.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 22123023093 and 22123023102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3410280 + ... + 3416760.

Almost surely, 222123023120 is an apocalyptic number.

22123023120 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 22123023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40625649792).

22123023120 is an abundant number, since it is smaller than the sum of its proper divisors (59128276464).

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

22123023120 is a wasteful number, since it uses less digits than its factorization.

22123023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123023120 its reverse (2132032122), we get a palindrome (24255055242).

The spelling of 22123023120 in words is "twenty-two billion, one hundred twenty-three million, twenty-three thousand, one hundred twenty".