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11121143670 = 2345713312157
BaseRepresentation
bin10100101101101111…
…10010111101110110
31001201001101122010000
422112313302331312
5140234003044140
65035312412130
7542410106250
oct122667627566
931631348100
1011121143670
11479766092a
1221a4547046
131083061cb0
14777006cd0
1545151da30
hex296df2f76

11121143670 has 480 divisors, whose sum is σ = 38272094784. Its totient is φ = 2256284160.

The previous prime is 11121143659. The next prime is 11121143681. The reversal of 11121143670 is 7634112111.

11121143670 is a `hidden beast` number, since 1 + 11 + 211 + 436 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11121143659) and next prime (11121143681).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 70835232 + ... + 70835388.

Almost surely, 211121143670 is an apocalyptic number.

11121143670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121143670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136047392).

11121143670 is an abundant number, since it is smaller than the sum of its proper divisors (27150951114).

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

11121143670 is a wasteful number, since it uses less digits than its factorization.

11121143670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11121143670 its reverse (7634112111), we get a palindrome (18755255781).

The spelling of 11121143670 in words is "eleven billion, one hundred twenty-one million, one hundred forty-three thousand, six hundred seventy".