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1130137718346 = 232713337110339
BaseRepresentation
bin10000011100100001011…
…101010000111001001010
311000001002020111111011100
4100130201131100321022
5122004010223441341
62223102245242230
7144435603051420
oct20344135207112
94001066444140
101130137718346
113a631a30893a
12163040a03376
138275785c000
143c9add21110
151e5e67303b6
hex10721750e4a

1130137718346 has 192 divisors, whose sum is σ = 3113494675200. Its totient is φ = 290000041344.

The previous prime is 1130137718341. The next prime is 1130137718399. The reversal of 1130137718346 is 6438177310311.

It is a super-2 number, since 2×11301377183462 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130137718341) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10187245 + ... + 10297583.

It is an arithmetic number, because the mean of its divisors is an integer number (16216118100).

Almost surely, 21130137718346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130137718346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556747337600).

1130137718346 is an abundant number, since it is smaller than the sum of its proper divisors (1983356956854).

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

1130137718346 is a wasteful number, since it uses less digits than its factorization.

1130137718346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110430 (or 110401 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1130137718346 in words is "one trillion, one hundred thirty billion, one hundred thirty-seven million, seven hundred eighteen thousand, three hundred forty-six".