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112301033220 = 223253736974561
BaseRepresentation
bin110100010010110101…
…0011100011100000100
3101201212110012120112200
41220211222130130010
53314443031030340
6123331304514500
711053632014055
oct1504552343404
9351773176480
10112301033220
1143699007462
121992147ba30
13a78914441c
145614a4072c
152dc4120330
hex1a25a9c704

112301033220 has 144 divisors (see below), whose sum is σ = 350024486448. Its totient is φ = 29123297280.

The previous prime is 112301033219. The next prime is 112301033233. The reversal of 112301033220 is 22330103211.

112301033220 is a `hidden beast` number, since 1 + 12 + 301 + 0 + 332 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3159339264 + 109141693956 = 56208^2 + 330366^2 .

It is a super-2 number, since 2×1123010332202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112301033193 and 112301033202.

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, 24619740 + ... + 24624300.

Almost surely, 2112301033220 is an apocalyptic number.

112301033220 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 112301033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175012243224).

112301033220 is an abundant number, since it is smaller than the sum of its proper divisors (237723453228).

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

112301033220 is a wasteful number, since it uses less digits than its factorization.

112301033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112301033220 its reverse (22330103211), we get a palindrome (134631136431).

The spelling of 112301033220 in words is "one hundred twelve billion, three hundred one million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 3697 4561 6660 7394 9122 11091 13683 14788 18244 18485 22182 22805 27366 33273 36970 41049 44364 45610 54732 55455 66546 68415 73940 82098 91220 110910 133092 136789 136830 164196 166365 168757 205245 221820 273578 273660 332730 337514 410367 410490 506271 547156 665460 675028 683945 820734 820980 843785 1012542 1231101 1367890 1518813 1641468 1687570 2025084 2051835 2462202 2531355 2735780 3037626 3375140 4103670 4924404 5062710 6075252 6155505 7594065 8207340 10125420 12311010 15188130 16862017 24622020 30376260 33724034 50586051 67448068 84310085 101172102 151758153 168620170 202344204 252930255 303516306 337240340 505860510 607032612 623894629 758790765 1011721020 1247789258 1517581530 1871683887 2495578516 3035163060 3119473145 3743367774 5615051661 6238946290 7486735548 9358419435 11230103322 12477892580 18716838870 22460206644 28075258305 37433677740 56150516610 112301033220