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10233113022 = 2331128917597
BaseRepresentation
bin10011000011111000…
…01110100110111110
3222102011102000002000
421201330032212332
5131424134104042
64411231043130
7511405011516
oct114174164676
928364360060
1010233113022
114381364300
121b970704a6
13c71099682
146d10c4846
153ed5a874c
hex261f0e9be

10233113022 has 96 divisors (see below), whose sum is σ = 25277767200. Its totient is φ = 3065927040.

The previous prime is 10233113017. The next prime is 10233113027. The reversal of 10233113022 is 22031133201.

It is an interprime number because it is at equal distance from previous prime (10233113017) and next prime (10233113027).

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

It is a junction number, because it is equal to n+sod(n) for n = 10233112986 and 10233113004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233113027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572728 + ... + 590324.

It is an arithmetic number, because the mean of its divisors is an integer number (263310075).

Almost surely, 210233113022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233113022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638883600).

10233113022 is an abundant number, since it is smaller than the sum of its proper divisors (15044654178).

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

10233113022 is a wasteful number, since it uses less digits than its factorization.

10233113022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17719 (or 17702 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10233113022 its reverse (22031133201), we get a palindrome (32264246223).

The spelling of 10233113022 in words is "ten billion, two hundred thirty-three million, one hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 89 99 121 178 198 242 267 297 363 534 594 726 801 979 1089 1602 1958 2178 2403 2937 3267 4806 5874 6534 8811 10769 17597 17622 21538 26433 32307 35194 52791 52866 64614 96921 105582 158373 193567 193842 290763 316746 387134 475119 580701 581526 950238 1161402 1566133 1742103 2129237 3132266 3484206 4258474 4698399 5226309 6387711 9396798 10452618 12775422 14095197 17227463 19163133 28190394 34454926 38326266 42285591 51682389 57489399 84571182 103364778 114978798 155047167 189502093 310094334 379004186 465141501 568506279 930283002 1137012558 1705518837 3411037674 5116556511 10233113022