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22130222311120 = 2457114219479011
BaseRepresentation
bin1010000100000100110000…
…00010100010011011010000
32220100121222020120011202211
411002002120002202123100
510400040143402423440
6115022252255121504
74442566352634460
oct502023002423320
986317866504684
1022130222311120
117062413619650
122594b9a813294
13c46b427b9271
14567173925ba0
152859d048beea
hex1420980a26d0

22130222311120 has 320 divisors, whose sum is σ = 64376320223232. Its totient is φ = 6873318144000.

The previous prime is 22130222311079. The next prime is 22130222311123. The reversal of 22130222311120 is 2111322203122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22130222311091 and 22130222311100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130222311123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2455907415 + ... + 2455916425.

Almost surely, 222130222311120 is an apocalyptic number.

22130222311120 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 22130222311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32188160111616).

22130222311120 is an abundant number, since it is smaller than the sum of its proper divisors (42246097912112).

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

22130222311120 is a wasteful number, since it uses less digits than its factorization.

22130222311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10410 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22130222311120 its reverse (2111322203122), we get a palindrome (24241544514242).

The spelling of 22130222311120 in words is "twenty-two trillion, one hundred thirty billion, two hundred twenty-two million, three hundred eleven thousand, one hundred twenty".