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112101233200 = 245211101252253
BaseRepresentation
bin110100001100111000…
…0010001001000110000
3101201100112020200102221
41220121300101020300
53314040403430300
6123255410250424
711045654521525
oct1503160211060
9351315220387
10112101233200
11435a6250780
1219886586a14
13a75692a168
1455d62b114c
152db180531a
hex1a19c11230

112101233200 has 120 divisors (see below), whose sum is σ = 296717299056. Its totient is φ = 40360320000.

The previous prime is 112101233149. The next prime is 112101233207. The reversal of 112101233200 is 2332101211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112101233207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318274 + ... + 570526.

Almost surely, 2112101233200 is an apocalyptic number.

112101233200 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 112101233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148358649528).

112101233200 is an abundant number, since it is smaller than the sum of its proper divisors (184616065856).

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

112101233200 is a wasteful number, since it uses less digits than its factorization.

112101233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252383 (or 252372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112101233200 its reverse (2332101211), we get a palindrome (114433334411).

The spelling of 112101233200 in words is "one hundred twelve billion, one hundred one million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 252253 444400 504506 1009012 1261265 2018024 2522530 2774783 4036048 5045060 5549566 6306325 10090120 11099132 12612650 13873915 20180240 22198264 25225300 25477553 27747830 44396528 50450600 50955106 55495660 69369575 100901200 101910212 110991320 127387765 138739150 203820424 221982640 254775530 277478300 280253083 407640848 509551060 554956600 560506166 636938825 1019102120 1109913200 1121012332 1273877650 1401265415 2038204240 2242024664 2547755300 2802530830 4484049328 5095510600 5605061660 7006327075 10191021200 11210123320 14012654150 22420246640 28025308300 56050616600 112101233200