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112010100 = 223523710091
BaseRepresentation
bin1101010110100…
…10001101110100
321210202200222020
412223102031310
5212133310400
615040433140
72530033026
oct653221564
9253680866
10112010100
1158254934
12316187b0
131a28a287
1410c3a016
159c782a0
hex6ad2374

112010100 has 72 divisors (see below), whose sum is σ = 332874528. Its totient is φ = 29059200.

The previous prime is 112010089. The next prime is 112010113. The reversal of 112010100 is 1010211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6055 + ... + 16145.

Almost surely, 2112010100 is an apocalyptic number.

112010100 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 112010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166437264).

112010100 is an abundant number, since it is smaller than the sum of its proper divisors (220864428).

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

112010100 is a wasteful number, since it uses less digits than its factorization.

112010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10145 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 112010100 is about 10583.4824136482. The cubic root of 112010100 is about 482.0429419453.

Adding to 112010100 its reverse (1010211), we get a palindrome (113020311).

The spelling of 112010100 in words is "one hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 10091 11100 20182 30273 40364 50455 60546 100910 121092 151365 201820 252275 302730 373367 504550 605460 746734 756825 1009100 1120101 1493468 1513650 1866835 2240202 3027300 3733670 4480404 5600505 7467340 9334175 11201010 18668350 22402020 28002525 37336700 56005050 112010100