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10430201320 = 23571110133529
BaseRepresentation
bin10011011011011000…
…00011110111101000
3222220220021010101121
421231230003313220
5132330112420240
64442551225024
7516320151130
oct115554036750
928826233347
1010430201320
1144726386a0
122031078174
13ca2b74576
1470d349ac0
15410a3a04a
hex26db03de8

10430201320 has 128 divisors (see below), whose sum is σ = 29549318400. Its totient is φ = 3218688000.

The previous prime is 10430201311. The next prime is 10430201333. The reversal of 10430201320 is 2310203401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10430201294 and 10430201303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294316 + ... + 327844.

It is an arithmetic number, because the mean of its divisors is an integer number (230854050).

Almost surely, 210430201320 is an apocalyptic number.

10430201320 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 10430201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774659200).

10430201320 is an abundant number, since it is smaller than the sum of its proper divisors (19119117080).

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

10430201320 is a wasteful number, since it uses less digits than its factorization.

10430201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33659 (or 33655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10430201320 its reverse (2310203401), we get a palindrome (12740404721).

The spelling of 10430201320 in words is "ten billion, four hundred thirty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 770 808 1010 1111 1414 1540 2020 2222 2828 3080 3535 4040 4444 5555 5656 7070 7777 8888 11110 14140 15554 22220 28280 31108 33529 38885 44440 62216 67058 77770 134116 155540 167645 234703 268232 311080 335290 368819 469406 670580 737638 938812 1173515 1341160 1475276 1844095 1877624 2347030 2581733 2950552 3386429 3688190 4694060 5163466 6772858 7376380 9388120 10326932 12908665 13545716 14752760 16932145 20653864 23705003 25817330 27091432 33864290 37250719 47410006 51634660 67728580 74501438 94820012 103269320 118525015 135457160 149002876 186253595 189640024 237050030 260755033 298005752 372507190 474100060 521510066 745014380 948200120 1043020132 1303775165 1490028760 2086040264 2607550330 5215100660 10430201320