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10001230110 = 2335476311249
BaseRepresentation
bin10010101000001111…
…01010100100011110
3221211000002010112000
421110013222210132
5130440303330420
64332225023130
7502561024164
oct112407524436
927730063460
1010001230110
114272485233
121b31484aa6
13c3502b351
146ac3a3234
153d8052690
hex2541ea91e

10001230110 has 128 divisors (see below), whose sum is σ = 27302400000. Its totient is φ = 2604026880.

The previous prime is 10001230079. The next prime is 10001230123. The reversal of 10001230110 is 1103210001.

It is a super-2 number, since 2×100012301102 (a number of 21 digits) contains 22 as substring.

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 = 10001230092 and 10001230101.

It is a congruent number.

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, 8006766 + ... + 8008014.

It is an arithmetic number, because the mean of its divisors is an integer number (213300000).

Almost surely, 210001230110 is an apocalyptic number.

10001230110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001230110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651200000).

10001230110 is an abundant number, since it is smaller than the sum of its proper divisors (17301169890).

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

10001230110 is a wasteful number, since it uses less digits than its factorization.

10001230110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1937 counting only the distinct ones).

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

Adding to 10001230110 its reverse (1103210001), we get a palindrome (11104440111).

The spelling of 10001230110 in words is "ten billion, one million, two hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 631 705 846 1249 1262 1269 1410 1893 2115 2498 2538 3155 3747 3786 4230 5679 6245 6310 6345 7494 9465 11241 11358 12490 12690 17037 18735 18930 22482 28395 29657 33723 34074 37470 56205 56790 58703 59314 67446 85185 88971 112410 117406 148285 168615 170370 176109 177942 266913 293515 296570 337230 352218 444855 528327 533826 587030 788119 800739 880545 889710 1056654 1334565 1576238 1584981 1601478 1761090 2364357 2641635 2669130 3169962 3940595 4003695 4728714 5283270 7093071 7881190 7924905 8007390 11821785 14186142 15849810 21279213 23643570 35465355 37041593 42558426 70930710 74083186 106396065 111124779 185207965 212792130 222249558 333374337 370415930 555623895 666748674 1000123011 1111247790 1666871685 2000246022 3333743370 5000615055 10001230110