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112102020102012 = 223103617829177319
BaseRepresentation
bin11001011111010011001001…
…000101100011011101111100
3112200220211220112012210022220
4121133103021011203131330
5104143134414121231022
61034230542421405340
732420050363550433
oct3137231105433574
9480824815183286
10112102020102012
11327a0221943676
12106a6157869850
134a72237a0a2a5
141d97aa3c6011a
15ce606de5d85c
hex65f4c916377c

112102020102012 has 96 divisors (see below), whose sum is σ = 264859564569600. Its totient is φ = 36899802035712.

The previous prime is 112102020101993. The next prime is 112102020102073. The reversal of 112102020102012 is 210201020201211.

It is a junction number, because it is equal to n+sod(n) for n = 112102020101982 and 112102020102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632116689 + ... + 632294007.

It is an arithmetic number, because the mean of its divisors is an integer number (2758953797600).

Almost surely, 2112102020102012 is an apocalyptic number.

112102020102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112102020102012 is an abundant number, since it is smaller than the sum of its proper divisors (152757544467588).

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

112102020102012 is a wasteful number, since it uses less digits than its factorization.

112102020102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178875 (or 178873 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112102020102012 its reverse (210201020201211), we get a palindrome (322303040303223).

The spelling of 112102020102012 in words is "one hundred twelve trillion, one hundred two billion, twenty million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 103 206 309 412 617 618 829 1234 1236 1658 1851 2468 2487 3316 3702 4974 7404 9948 63551 85387 127102 170774 177319 190653 254204 256161 341548 354638 381306 511493 512322 531957 709276 762612 1022986 1024644 1063914 1534479 2045972 2127828 3068958 6137916 18263857 36527714 52683779 54791571 73055428 105367558 109405823 109583142 146997451 158051337 210735116 218811646 219166284 293994902 316102674 328217469 437623292 440992353 587989804 632205348 656434938 881984706 1312869876 1763969412 11268799769 15140737453 22537599538 30281474906 33806399307 45075199076 45422212359 60562949812 67612798614 90697427267 90844424718 135225597228 181394854534 181688849436 272092281801 362789709068 544184563602 1088369127204 9341835008501 18683670017002 28025505025503 37367340034004 56051010051006 112102020102012