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1124023430430 = 2325131940310139
BaseRepresentation
bin10000010110110101000…
…001000110110100011110
310222110022010101110221100
4100112311001012310132
5121403444444233210
62220211431013530
7144131230342215
oct20266501066436
93873263343840
101124023430430
113a3771a1792a
12161a1520a2a6
1381cc1bb9274
143c58dc8207c
151e389a6e5c0
hex105b5046d1e

1124023430430 has 96 divisors (see below), whose sum is σ = 2945373425280. Its totient is φ = 297390525120.

The previous prime is 1124023430401. The next prime is 1124023430471. The reversal of 1124023430430 is 340343204211.

1124023430430 is a `hidden beast` number, since 1 + 124 + 0 + 234 + 304 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1124023430394 and 1124023430403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110856301 + ... + 110866439.

It is an arithmetic number, because the mean of its divisors is an integer number (30680973180).

Almost surely, 21124023430430 is an apocalyptic number.

1124023430430 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 1124023430430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472686712640).

1124023430430 is an abundant number, since it is smaller than the sum of its proper divisors (1821349994850).

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

1124023430430 is a wasteful number, since it uses less digits than its factorization.

1124023430430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19686 (or 19683 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1124023430430 its reverse (340343204211), we get a palindrome (1464366634641).

The spelling of 1124023430430 in words is "one trillion, one hundred twenty-four billion, twenty-three million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 9403 10139 11790 18806 20278 28209 30417 47015 50695 56418 60834 84627 91251 94030 101390 141045 152085 169254 182502 282090 304170 423135 456255 846270 912510 1231793 1328209 2463586 2656418 3695379 3984627 6158965 6641045 7390758 7969254 11086137 11953881 12317930 13282090 18476895 19923135 22172274 23907762 36953790 39846270 55430685 59769405 95337017 110861370 119538810 190674034 286011051 476685085 572022102 858033153 953370170 1430055255 1716066306 2860110510 4290165765 8580331530 12489149227 24978298454 37467447681 62445746135 74934895362 112402343043 124891492270 187337238405 224804686086 374674476810 562011715215 1124023430430