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103013112000 = 263534292213
BaseRepresentation
bin101111111110000001…
…1110101100011000000
3100211220011100021212110
41133330003311203000
53141432324041000
6115153520255320
710304522001411
oct1377403654300
9324804307773
10103013112000
113a762241807
1217b6aa71540
139938b35156
144db32bb808
152a2da1d850
hex17fc0f58c0

103013112000 has 112 divisors (see below), whose sum is σ = 340149375072. Its totient is φ = 27470156800.

The previous prime is 103013111977. The next prime is 103013112017. The reversal of 103013112000 is 211310301.

It is a super-2 number, since 2×1030131120002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122107 + ... + 2170106.

Almost surely, 2103013112000 is an apocalyptic number.

103013112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013112000 is an abundant number, since it is smaller than the sum of its proper divisors (237136263072).

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

103013112000 is an equidigital number, since it uses as much as digits as its factorization.

103013112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292243 (or 4292223 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103013112000 its reverse (211310301), we get a palindrome (103224422301).

The spelling of 103013112000 in words is "one hundred three billion, thirteen million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 4292213 8584426 12876639 17168852 21461065 25753278 34337704 42922130 51506556 64383195 68675408 85844260 103013112 107305325 128766390 137350816 171688520 206026224 214610650 257532780 274701632 321915975 343377040 412052448 429221300 515065560 536526625 643831950 686754080 824104896 858442600 1030131120 1073053250 1287663900 1373508160 1609579875 1716885200 2060262240 2146106500 2575327800 3219159750 3433770400 4120524480 4292213000 5150655600 6438319500 6867540800 8584426000 10301311200 12876639000 17168852000 20602622400 25753278000 34337704000 51506556000 103013112000