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112221202100 = 225272367310357
BaseRepresentation
bin110100010000011100…
…1111010011010110100
3101201122212222201211112
41220200321322122310
53314312111431400
6123315333454152
711051642323220
oct1504071723264
9351585881745
10112221202100
1143657a41127
12198ba7a1358
13a775742b87
1456081bd780
152dbc101835
hex1a20e7a6b4

112221202100 has 144 divisors (see below), whose sum is σ = 290868549888. Its totient is φ = 36744744960.

The previous prime is 112221202099. The next prime is 112221202103. The reversal of 112221202100 is 1202122211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112221202103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10830122 + ... + 10840478.

Almost surely, 2112221202100 is an apocalyptic number.

112221202100 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 112221202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145434274944).

112221202100 is an abundant number, since it is smaller than the sum of its proper divisors (178647347788).

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

112221202100 is a wasteful number, since it uses less digits than its factorization.

112221202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112221202100 its reverse (1202122211), we get a palindrome (113423324311).

The spelling of 112221202100 in words is "one hundred twelve billion, two hundred twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 673 700 805 1150 1346 1610 2300 2692 3220 3365 4025 4711 6730 8050 9422 10357 13460 15479 16100 16825 18844 20714 23555 30958 33650 41428 47110 51785 61916 67300 72499 77395 94220 103570 108353 117775 144998 154790 207140 216706 235550 238211 258925 289996 309580 362495 386975 433412 471100 476422 517850 541765 724990 773950 952844 1035700 1083530 1191055 1449980 1547900 1667477 1812475 2167060 2382110 2708825 3334954 3624950 4764220 5417650 5955275 6669908 6970261 7249900 8337385 10835300 11910550 13940522 16674770 23821100 27881044 33349540 34851305 41686925 48791827 69702610 83373850 97583654 139405220 160316003 166747700 174256525 195167308 243959135 320632006 348513050 487918270 641264012 697026100 801580015 975836540 1122212021 1219795675 1603160030 2244424042 2439591350 3206320060 4007900075 4488848084 4879182700 5611060105 8015800150 11222120210 16031600300 22444240420 28055300525 56110601050 112221202100