Search a number
-
+
112012202100 = 223525943114683
BaseRepresentation
bin110100001010001110…
…0101001000001110100
3101201010022201102201210
41220110130221001310
53313400110431400
6123242510121420
711043524002611
oct1502434510164
9351108642653
10112012202100
114355aa71357
12198607b0270
13a741357236
1455c8537508
152da8aba950
hex1a14729074

112012202100 has 144 divisors (see below), whose sum is σ = 330368855040. Its totient is φ = 29293526400.

The previous prime is 112012202053. The next prime is 112012202117. The reversal of 112012202100 is 1202210211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 7621359 + ... + 7636041.

It is an arithmetic number, because the mean of its divisors is an integer number (2294228160).

Almost surely, 2112012202100 is an apocalyptic number.

112012202100 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 112012202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165184427520).

112012202100 is an abundant number, since it is smaller than the sum of its proper divisors (218356652940).

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

112012202100 is a wasteful number, since it uses less digits than its factorization.

112012202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190 (or 15183 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112012202100 its reverse (1202210211), we get a palindrome (113214412311).

The spelling of 112012202100 in words is "one hundred twelve billion, twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 431 590 708 862 885 1180 1293 1475 1724 1770 2155 2586 2950 3540 4310 4425 5172 5900 6465 8620 8850 10775 12930 14683 17700 21550 25429 25860 29366 32325 43100 44049 50858 58732 64650 73415 76287 88098 101716 127145 129300 146830 152574 176196 220245 254290 293660 305148 367075 381435 440490 508580 635725 734150 762870 866297 880980 1101225 1271450 1468300 1525740 1732594 1907175 2202450 2542900 2598891 3465188 3814350 4331485 4404900 5197782 6328373 7628700 8662970 10395564 12656746 12994455 17325940 18985119 21657425 25313492 25988910 31641865 37970238 43314850 51977820 63283730 64972275 75940476 86629700 94925595 126567460 129944550 158209325 189851190 259889100 316418650 373374007 379702380 474627975 632837300 746748014 949255950 1120122021 1493496028 1866870035 1898511900 2240244042 3733740070 4480488084 5600610105 7467480140 9334350175 11201220210 18668700350 22402440420 28003050525 37337400700 56006101050 112012202100