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10112123430 = 2345173123689
BaseRepresentation
bin10010110101011101…
…01100001000100110
3222002201202002120000
421122232230020212
5131202200422210
64351225522130
7505405426263
oct113256541046
928081662500
1010112123430
11431a037002
121b62643346
13c51cb71b6
146bcdcc26a
153e2b59ac0
hex25abac226

10112123430 has 160 divisors (see below), whose sum is σ = 29719768320. Its totient is φ = 2455971840.

The previous prime is 10112123429. The next prime is 10112123449. The reversal of 10112123430 is 3432121101.

10112123430 is a `hidden beast` number, since 1 + 0 + 112 + 123 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 415026 + ... + 438714.

It is an arithmetic number, because the mean of its divisors is an integer number (185748552).

Almost surely, 210112123430 is an apocalyptic number.

10112123430 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 10112123430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859884160).

10112123430 is an abundant number, since it is smaller than the sum of its proper divisors (19607644890).

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

10112123430 is a wasteful number, since it uses less digits than its factorization.

10112123430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23756 (or 23747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10112123430 its reverse (3432121101), we get a palindrome (13544244531).

The spelling of 10112123430 in words is "ten billion, one hundred twelve million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 81 85 90 93 102 135 153 155 162 170 186 255 270 279 306 310 405 459 465 510 527 558 765 810 837 918 930 1054 1377 1395 1530 1581 1674 2295 2511 2635 2754 2790 3162 4185 4590 4743 5022 5270 6885 7905 8370 9486 12555 13770 14229 15810 23689 23715 25110 28458 42687 47378 47430 71067 71145 85374 118445 142134 142290 213201 213435 236890 355335 402713 426402 426870 639603 710670 734359 805426 1066005 1208139 1279206 1468718 1918809 2013565 2132010 2203077 2416278 3198015 3624417 3671795 3837618 4027130 4406154 6040695 6396030 6609231 7248834 7343590 9594045 10873251 11015385 12081390 12484103 13218462 18122085 19188090 19827693 21746502 22030770 24968206 32619753 33046155 36244170 37452309 39655386 54366255 59483079 62420515 65239506 66092310 74904618 99138465 108732510 112356927 118966158 124841030 163098765 187261545 198276930 224713854 297415395 326197530 337070781 374523090 561784635 594830790 674141562 1011212343 1123569270 1685353905 2022424686 3370707810 5056061715 10112123430