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10003130310132 = 22324120033383519
BaseRepresentation
bin1001000110010000100100…
…0001110101110111110100
31022102021211100110111001200
42101210021001311313310
52302342402324411012
633135212530252500
72051462615502021
oct221441101656764
938367740414050
1010003130310132
113207338308393
121156810127130
135773a283673b
14268222b76548
1512530eb773dc
hex91909075df4

10003130310132 has 72 divisors (see below), whose sum is σ = 25915354133760. Its totient is φ = 3251425457280.

The previous prime is 10003130310097. The next prime is 10003130310169. The reversal of 10003130310132 is 23101303130001.

It is a happy number.

10003130310132 is a `hidden beast` number, since 10 + 0 + 0 + 313 + 0 + 310 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264669 + ... + 4648187.

It is an arithmetic number, because the mean of its divisors is an integer number (359935474080).

Almost surely, 210003130310132 is an apocalyptic number.

10003130310132 is a gapful number since it is divisible by the number (12) 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 10003130310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957677066880).

10003130310132 is an abundant number, since it is smaller than the sum of its proper divisors (15912223823628).

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

10003130310132 is a wasteful number, since it uses less digits than its factorization.

10003130310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385573 (or 3385568 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10003130310132 its reverse (23101303130001), we get a palindrome (33104433440133).

The spelling of 10003130310132 in words is "ten trillion, three billion, one hundred thirty million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2003 4006 6009 8012 12018 18027 24036 36054 72108 82123 164246 246369 328492 492738 739107 985476 1478214 2956428 3383519 6767038 10150557 13534076 20301114 30451671 40602228 60903342 121806684 138724279 277448558 416172837 554897116 832345674 1248518511 1664691348 2497037022 4994074044 6777188557 13554377114 20331565671 27108754228 40663131342 60994697013 81326262684 121989394026 243978788052 277864730837 555729461674 833594192511 1111458923348 1667188385022 2500782577533 3334376770044 5001565155066 10003130310132