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113222100 = 223522361269
BaseRepresentation
bin1101011111110…
…10000111010100
321220001021112010
412233322013110
5212441101400
615122424220
72543241405
oct657720724
9256037463
10113222100
1158a02492
1231b02070
131a5c2b34
14110739ac
159e17450
hex6bfa1d4

113222100 has 144 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 28300800.

The previous prime is 113222093. The next prime is 113222101. The reversal of 113222100 is 1222311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113222101) 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, 420766 + ... + 421034.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2113222100 is an apocalyptic number.

113222100 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 113222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

113222100 is an abundant number, since it is smaller than the sum of its proper divisors (235505580).

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

113222100 is a wasteful number, since it uses less digits than its factorization.

113222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 113222100 is about 10640.5873898014. The cubic root of 113222100 is about 483.7753493784.

Adding to 113222100 its reverse (1222311), we get a palindrome (114444411).

It can be divided in two parts, 1132 and 22100, that added together give a palindrome (23232).

The spelling of 113222100 in words is "one hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 61 69 75 92 100 115 122 138 150 183 230 244 269 276 300 305 345 366 460 538 575 610 690 732 807 915 1076 1150 1220 1345 1380 1403 1525 1614 1725 1830 2300 2690 2806 3050 3228 3450 3660 4035 4209 4575 5380 5612 6100 6187 6725 6900 7015 8070 8418 9150 12374 13450 14030 16140 16409 16836 18300 18561 20175 21045 24748 26900 28060 30935 32818 35075 37122 40350 42090 49227 61870 65636 70150 74244 80700 82045 84180 92805 98454 105225 123740 140300 154675 164090 185610 196908 210450 246135 309350 328180 371220 377407 410225 420900 464025 492270 618700 754814 820450 928050 984540 1132221 1230675 1509628 1640900 1856100 1887035 2264442 2461350 3774070 4528884 4922700 5661105 7548140 9435175 11322210 18870350 22644420 28305525 37740700 56611050 113222100