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112273316010 = 232571145112109
BaseRepresentation
bin110100010010000000…
…0101101100010101010
3101201210112001101200100
41220210000231202222
53314413432103020
6123324434450230
711053144303632
oct1504400554252
9351715041610
10112273316010
11436843a6079
1219914133976
13a78348b4cb
1456110a76c2
152dc1997a90
hex1a2402d8aa

112273316010 has 96 divisors (see below), whose sum is σ = 296250514560. Its totient is φ = 29495088000.

The previous prime is 112273316003. The next prime is 112273316021. The reversal of 112273316010 is 10613372211.

112273316010 is a `hidden beast` number, since 1 + 1 + 2 + 27 + 3 + 31 + 601 + 0 = 666.

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, 9265836 + ... + 9277944.

It is an arithmetic number, because the mean of its divisors is an integer number (3085942860).

Almost surely, 2112273316010 is an apocalyptic number.

112273316010 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 112273316010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148125257280).

112273316010 is an abundant number, since it is smaller than the sum of its proper divisors (183977198550).

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

112273316010 is a wasteful number, since it uses less digits than its factorization.

112273316010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13644 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 112273316010 its reverse (10613372211), we get a palindrome (122886688221).

The spelling of 112273316010 in words is "one hundred twelve billion, two hundred seventy-three million, three hundred sixteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 1451 2130 2902 3195 4353 6390 7255 8706 12109 13059 14510 21765 24218 26118 36327 43530 60545 65295 72654 103021 108981 121090 130590 181635 206042 217962 309063 363270 515105 544905 618126 859739 927189 1030210 1089810 1545315 1719478 1854378 2579217 3090630 4298695 4635945 5158434 7737651 8597390 9271890 12896085 15475302 17570159 25792170 35140318 38688255 52710477 77376510 87850795 105420954 158131431 175701590 263552385 316262862 527104770 790657155 1247481289 1581314310 2494962578 3742443867 6237406445 7484887734 11227331601 12474812890 18712219335 22454663202 37424438670 56136658005 112273316010