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10020424432230 = 23251732320127739
BaseRepresentation
bin1001000111010000111111…
…0101101011101001100110
31022110221110121101220122100
42101310033311223221212
52303133312123312410
633151152555312530
72052644313222042
oct221641765535146
938427417356570
1010020424432230
1132137023a6283
12115a037a4b746
13578bca74a394
14268dc3939022
151259c309b8c0
hex91d0fd6ba66

10020424432230 has 96 divisors (see below), whose sum is σ = 26205773611680. Its totient is φ = 2656457164800.

The previous prime is 10020424432223. The next prime is 10020424432231. The reversal of 10020424432230 is 3223442402001.

10020424432230 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 424 + 4 + 3 + 2 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10020424432194 and 10020424432203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020424432231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361225701 + ... + 361253439.

It is an arithmetic number, because the mean of its divisors is an integer number (272976808455).

Almost surely, 210020424432230 is an apocalyptic number.

10020424432230 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 10020424432230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102886805840).

10020424432230 is an abundant number, since it is smaller than the sum of its proper divisors (16185349179450).

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

10020424432230 is a wasteful number, since it uses less digits than its factorization.

10020424432230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51126 (or 51123 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10020424432230 its reverse (3223442402001), we get a palindrome (13243866834231).

The spelling of 10020424432230 in words is "ten trillion, twenty billion, four hundred twenty-four million, four hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7785 15570 23201 27739 46402 55478 69603 83217 116005 138695 139206 166434 208809 232010 249651 277390 348015 416085 417618 499302 696030 832170 1044045 1248255 2088090 2496510 4013773 4798847 8027546 9597694 12041319 14396541 20068865 23994235 24082638 28793082 36123957 40137730 43189623 47988470 60206595 71982705 72247914 86379246 120413190 143965410 180619785 215948115 361239570 431896230 643572539 1287145078 1930717617 3217862695 3861435234 5792152851 6435725390 9653588085 11584305702 19307176170 28960764255 57921528510 111338049247 222676098494 334014147741 556690246235 668028295482 1002042443223 1113380492470 1670070738705 2004084886446 3340141477410 5010212216115 10020424432230