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111212113000 = 2353172384817
BaseRepresentation
bin110011110010011000…
…0100010110001101000
3101122001120012200211011
41213210300202301220
53310230300104000
6123031245313304
711014640235412
oct1474460426150
9348046180734
10111212113000
114318a37a59a
1219678865834
13a644672931
1455501879b2
152d5d7272ba
hex19e4c22c68

111212113000 has 96 divisors (see below), whose sum is σ = 276445554840. Its totient is φ = 41867980800.

The previous prime is 111212112959. The next prime is 111212113007. The reversal of 111212113000 is 311212111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 611968644 + 110600144356 = 24738^2 + 332566^2 .

It is not an unprimeable number, because it can be changed into a prime (111212113007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96592 + ... + 481408.

Almost surely, 2111212113000 is an apocalyptic number.

111212113000 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 111212113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138222777420).

111212113000 is an abundant number, since it is smaller than the sum of its proper divisors (165233441840).

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

111212113000 is a wasteful number, since it uses less digits than its factorization.

111212113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384872 (or 384841 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 111212113000 its reverse (311212111), we get a palindrome (111523325111).

The spelling of 111212113000 in words is "one hundred eleven billion, two hundred twelve million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 680 850 1000 1156 1445 1700 2125 2312 2890 3400 4250 5780 7225 8500 11560 14450 17000 28900 36125 57800 72250 144500 289000 384817 769634 1539268 1924085 3078536 3848170 6541889 7696340 9620425 13083778 15392680 19240850 26167556 32709445 38481700 48102125 52335112 65418890 76963400 96204250 111212113 130837780 163547225 192408500 222424226 261675560 327094450 384817000 444848452 556060565 654188900 817736125 889696904 1112121130 1308377800 1635472250 2224242260 2780302825 3270944500 4448484520 5560605650 6541889000 11121211300 13901514125 22242422600 27803028250 55606056500 111212113000