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10113100020 = 2233586321701
BaseRepresentation
bin10010110101100100…
…11010100011110100
3222002210120201012000
421122302122203310
5131202423200040
64351302455300
7505416634422
oct113262324364
928083521160
1010113100020
11431a643801
121b62a34530
13c5226986a
146bd1a4112
153e2c9e130
hex25ac9a8f4

10113100020 has 96 divisors (see below), whose sum is σ = 31500887040. Its totient is φ = 2693577600.

The previous prime is 10113100013. The next prime is 10113100021. The reversal of 10113100020 is 2000131101.

10113100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10113099975 and 10113100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113100021) 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 31 ways as a sum of consecutive naturals, for example, 455170 + ... + 476870.

It is an arithmetic number, because the mean of its divisors is an integer number (328134240).

Almost surely, 210113100020 is an apocalyptic number.

10113100020 is a gapful number since it is divisible by the number (10) 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 10113100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750443520).

10113100020 is an abundant number, since it is smaller than the sum of its proper divisors (21387787020).

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

10113100020 is a wasteful number, since it uses less digits than its factorization.

10113100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22582 (or 22574 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10113100020 its reverse (2000131101), we get a palindrome (12113231121).

The spelling of 10113100020 in words is "ten billion, one hundred thirteen million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 863 1726 2589 3452 4315 5178 7767 8630 10356 12945 15534 17260 21701 23301 25890 31068 38835 43402 46602 51780 65103 77670 86804 93204 108505 116505 130206 155340 195309 217010 233010 260412 325515 390618 434020 466020 585927 651030 781236 976545 1171854 1302060 1953090 2343708 2929635 3906180 5859270 11718540 18727963 37455926 56183889 74911852 93639815 112367778 168551667 187279630 224735556 280919445 337103334 374559260 505655001 561838890 674206668 842758335 1011310002 1123677780 1685516670 2022620004 2528275005 3371033340 5056550010 10113100020