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113003102322 = 23311477575347
BaseRepresentation
bin110100100111110000…
…0101000000001110010
3101210200101021101022000
41221033200220001302
53322412243233242
6123525104354430
711110215343545
oct1511740500162
9353611241260
10113003102322
1143a1933a360
1219a98615a16
13a86b729526
14567dd9685c
152e15aa0a4c
hex1a4f828072

113003102322 has 128 divisors (see below), whose sum is σ = 280197550080. Its totient is φ = 33464249280.

The previous prime is 113003102309. The next prime is 113003102339. The reversal of 113003102322 is 223201300311.

113003102322 is a `hidden beast` number, since 1 + 1 + 30 + 0 + 310 + 2 + 322 = 666.

It is a super-2 number, since 2×1130031023222 (a number of 23 digits) contains 22 as substring.

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 = 113003102295 and 113003102304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21131253 + ... + 21136599.

It is an arithmetic number, because the mean of its divisors is an integer number (2189043360).

Almost surely, 2113003102322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113003102322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140098775040).

113003102322 is an abundant number, since it is smaller than the sum of its proper divisors (167194447758).

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

113003102322 is a wasteful number, since it uses less digits than its factorization.

113003102322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6167 counting only the distinct ones).

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

Adding to 113003102322 its reverse (223201300311), we get a palindrome (336204402633).

The spelling of 113003102322 in words is "one hundred thirteen billion, three million, one hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 757 846 1034 1269 1514 1551 2271 2538 3102 4542 4653 5347 6813 8327 9306 10694 13626 13959 16041 16654 20439 24981 27918 32082 35579 40878 48123 49962 58817 71158 74943 96246 106737 117634 144369 149886 176451 213474 224829 251309 288738 320211 352902 391369 449658 502618 529353 640422 753927 782738 960633 1058706 1174107 1507854 1588059 1921266 2261781 2348214 2764399 3176118 3522321 4047679 4523562 5528798 6785343 7044642 8095358 8293197 10566963 12143037 13570686 16586394 21133926 24286074 24879591 36429111 44524469 49759182 72858222 74638773 89048938 109287333 133573407 149277546 190240913 218574666 267146814 380481826 400720221 570722739 801440442 1141445478 1202160663 1712168217 2092650043 2404321326 3424336434 4185300086 5136504651 6277950129 10273009302 12555900258 18833850387 37667700774 56501551161 113003102322