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10130133552 = 24371121012467
BaseRepresentation
bin10010110111100110…
…11001001000110000
3222010222122002210120
421123303121020300
5131221303233202
64353111530240
7506014500030
oct113363311060
928128562716
1010130133552
114329218300
121b68689980
13c55951986
146c15598c0
153e45160bc
hex25bcd9230

10130133552 has 240 divisors, whose sum is σ = 33213040896. Its totient is φ = 2604096000.

The previous prime is 10130133529. The next prime is 10130133577. The reversal of 10130133552 is 25533103101.

It is a super-2 number, since 2×101301335522 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4105023 + ... + 4107489.

Almost surely, 210130133552 is an apocalyptic number.

10130133552 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 10130133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606520448).

10130133552 is an abundant number, since it is smaller than the sum of its proper divisors (23082907344).

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

10130133552 is a wasteful number, since it uses less digits than its factorization.

10130133552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 10130133552 its reverse (25533103101), we get a palindrome (35663236653).

The spelling of 10130133552 in words is "ten billion, one hundred thirty million, one hundred thirty-three thousand, five hundred fifty-two".