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10230144100 = 22521174312517
BaseRepresentation
bin10011000011100001…
…11001110001100100
3222101221211011110221
421201300321301210
5131422404102400
64411043254124
7511340535001
oct114160716144
928357734427
1010230144100
11437a716750
121b9607a344
13c7059a207
146d09508a8
153ed1bdc1a
hex261c39c64

10230144100 has 72 divisors (see below), whose sum is σ = 24252072768. Its totient is φ = 3714748800.

The previous prime is 10230144083. The next prime is 10230144109. The reversal of 10230144100 is 144103201.

It is a super-3 number, since 3×102301441003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10230144109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811042 + ... + 823558.

It is an arithmetic number, because the mean of its divisors is an integer number (336834344).

Almost surely, 210230144100 is an apocalyptic number.

10230144100 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 10230144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126036384).

10230144100 is an abundant number, since it is smaller than the sum of its proper divisors (14021928668).

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

10230144100 is a wasteful number, since it uses less digits than its factorization.

10230144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13285 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10230144100 its reverse (144103201), we get a palindrome (10374247301).

The spelling of 10230144100 in words is "ten billion, two hundred thirty million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 743 1100 1486 2972 3715 7430 8173 12517 14860 16346 18575 25034 32692 37150 40865 50068 62585 74300 81730 125170 137687 163460 204325 250340 275374 312925 408650 550748 625850 688435 817300 1251700 1376870 2753740 3442175 6884350 9300131 13768700 18600262 37200524 46500655 93001310 102301441 186002620 204602882 232503275 409205764 465006550 511507205 930013100 1023014410 2046028820 2557536025 5115072050 10230144100