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2011112210112 = 263107409239347
BaseRepresentation
bin11101010000111111101…
…000001111111011000000
321010021000212102121112120
4131100333220033323000
5230422224211210422
64135520414124240
7265204143506055
oct35207750177300
97107025377476
102011112210112
117059a945a805
122859254b0680
131178547b9025
146d4a460d02c
15374a883445c
hex1d43fa0fec0

2011112210112 has 112 divisors (see below), whose sum is σ = 5383951355520. Its totient is φ = 662479091712.

The previous prime is 2011112210101. The next prime is 2011112210119. The reversal of 2011112210112 is 2110122111102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2011112210091 and 2011112210100.

It is not an unprimeable number, because it can be changed into a prime (2011112210119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8282823 + ... + 8522169.

Almost surely, 22011112210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011112210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691975677760).

2011112210112 is an abundant number, since it is smaller than the sum of its proper divisors (3372839145408).

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

2011112210112 is a wasteful number, since it uses less digits than its factorization.

2011112210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239878 (or 239868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2011112210112 its reverse (2110122111102), we get a palindrome (4121234321214).

The spelling of 2011112210112 in words is "two trillion, eleven billion, one hundred twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 409 428 642 818 856 1227 1284 1636 1712 2454 2568 3272 3424 4908 5136 6544 6848 9816 10272 13088 19632 20544 26176 39264 43763 78528 87526 131289 175052 239347 262578 350104 478694 525156 700208 718041 957388 1050312 1400416 1436082 1914776 2100624 2800832 2872164 3829552 4201248 5744328 7659104 8402496 11488656 15318208 22977312 25610129 45954624 51220258 76830387 97892923 102440516 153660774 195785846 204881032 293678769 307321548 391571692 409762064 587357538 614643096 783143384 819524128 1174715076 1229286192 1566286768 1639048256 2349430152 2458572384 3132573536 4698860304 4917144768 6265147072 9397720608 10474542761 18795441216 20949085522 31423628283 41898171044 62847256566 83796342088 125694513132 167592684176 251389026264 335185368352 502778052528 670370736704 1005556105056 2011112210112