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1133252140132 = 2271782312172377
BaseRepresentation
bin10000011111011011000…
…101110101110001100100
311000100010021211111200101
4100133123011311301210
5122031400021441012
62224335302153444
7144606021153340
oct20373305656144
94010107744611
101133252140132
113a7678320042
1216376ba22884
1382b32b66438
143cbc77d0620
151e729d76d57
hex107db175c64

1133252140132 has 96 divisors (see below), whose sum is σ = 2405729991168. Its totient is φ = 455987625984.

The previous prime is 1133252140123. The next prime is 1133252140151. The reversal of 1133252140132 is 2310412523311.

It is a super-2 number, since 2×11332521401322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1133252140132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476756128 + ... + 476758504.

It is an arithmetic number, because the mean of its divisors is an integer number (25059687408).

Almost surely, 21133252140132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133252140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202864995584).

1133252140132 is an abundant number, since it is smaller than the sum of its proper divisors (1272477851036).

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

1133252140132 is a wasteful number, since it uses less digits than its factorization.

1133252140132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1133252140132 its reverse (2310412523311), we get a palindrome (3443664663443).

The spelling of 1133252140132 in words is "one trillion, one hundred thirty-three billion, two hundred fifty-two million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 823 1217 1646 2377 2434 3292 4754 4868 5761 8519 9508 11522 13991 16639 17038 20689 23044 27982 33278 34076 40409 41378 55964 66556 80818 82756 97937 144823 161636 195874 282863 289646 391748 565726 579292 1001591 1131452 1956271 2003182 2892809 3912542 4006364 5785618 7011137 7825084 11571236 13693897 14022274 17027047 20249663 27387794 28044548 33256607 34054094 40499326 49177753 54775588 66513214 68108188 80998652 98355506 119189329 133026428 196711012 232796249 238378658 344244271 465592498 476757316 688488542 931184996 1376977084 2380781807 4761563614 9523127228 16665472649 33330945298 40473290719 66661890596 80946581438 161893162876 283313035033 566626070066 1133252140132