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11357220120 = 23352979109379
BaseRepresentation
bin10101001001111000…
…10110110100011000
31002022111121120010020
422210330112310120
5141224422020440
65114544350440
7551304530631
oct124474266430
932274546106
1011357220120
1148a8944634
12224b615420
1310bcc3acbc
1479a4da888
154671023d0
hex2a4f16d18

11357220120 has 256 divisors, whose sum is σ = 36115200000. Its totient is φ = 2853107712.

The previous prime is 11357220101. The next prime is 11357220197. The reversal of 11357220120 is 2102275311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29966091 + ... + 29966469.

It is an arithmetic number, because the mean of its divisors is an integer number (141075000).

Almost surely, 211357220120 is an apocalyptic number.

11357220120 is a gapful number since it is divisible by the number (10) 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 11357220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600000).

11357220120 is an abundant number, since it is smaller than the sum of its proper divisors (24757979880).

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

11357220120 is a wasteful number, since it uses less digits than its factorization.

11357220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 11357220120 its reverse (2102275311), we get a palindrome (13459495431).

The spelling of 11357220120 in words is "eleven billion, three hundred fifty-seven million, two hundred twenty thousand, one hundred twenty".