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112431030320 = 24572945715149
BaseRepresentation
bin110100010110101101…
…0010110000000110000
3101202012111211010001002
41220231122112000300
53320224320432240
6123352231101132
711060100663260
oct1505532260060
9352174733032
10112431030320
1143755427184
1219958b117a8
13a7aa05b79b
145627ddd7a0
152dd074cd15
hex1a2d696030

112431030320 has 160 divisors (see below), whose sum is σ = 309743568000. Its totient is φ = 37134655488.

The previous prime is 112431030311. The next prime is 112431030343. The reversal of 112431030320 is 23030134211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112431030292 and 112431030301.

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, 7414106 + ... + 7429254.

It is an arithmetic number, because the mean of its divisors is an integer number (1935897300).

Almost surely, 2112431030320 is an apocalyptic number.

112431030320 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 112431030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154871784000).

112431030320 is an abundant number, since it is smaller than the sum of its proper divisors (197312537680).

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

112431030320 is a wasteful number, since it uses less digits than its factorization.

112431030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655 (or 15649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112431030320 its reverse (23030134211), we get a palindrome (135461164531).

The spelling of 112431030320 in words is "one hundred twelve billion, four hundred thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 457 464 560 580 812 914 1015 1160 1624 1828 2030 2285 2320 3199 3248 3656 4060 4570 6398 7312 8120 9140 12796 13253 15149 15995 16240 18280 25592 26506 30298 31990 36560 51184 53012 60596 63980 66265 75745 92771 106024 106043 121192 127960 132530 151490 185542 212048 212086 242384 255920 265060 302980 371084 424172 439321 463855 530120 530215 605960 742168 848344 878642 927710 1060240 1060430 1211920 1484336 1696688 1757284 1855420 2120860 2196605 3075247 3514568 3710840 4241720 4393210 6150494 6923093 7029136 7421680 8483440 8786420 12300988 13846186 15376235 17572840 24601976 27692372 30752470 34615465 35145680 48461651 49203952 55384744 61504940 69230930 96923302 110769488 123009880 138461860 193846604 200769697 242308255 246019760 276923720 387693208 401539394 484616510 553847440 775386416 803078788 969233020 1003848485 1405387879 1606157576 1938466040 2007696970 2810775758 3212315152 3876932080 4015393940 5621551516 7026939395 8030787880 11243103032 14053878790 16061575760 22486206064 28107757580 56215515160 112431030320