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211212100112 = 241331101324319
BaseRepresentation
bin1100010010110100111…
…0001110001000010000
3202012011201211101101112
43010231032032020100
511430030244200422
6241010212152452
721155014141346
oct3045516161020
9665151741345
10211212100112
11816357a6a42
1234b26608728
1316bc0179540
14a319203996
15576295cee2
hex312d38e210

211212100112 has 80 divisors (see below), whose sum is σ = 459423928320. Its totient is φ = 93403584000.

The previous prime is 211212100103. The next prime is 211212100139. The reversal of 211212100112 is 211001212112.

It is a super-2 number, since 2×2112121001122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489089 + ... + 813407.

It is an arithmetic number, because the mean of its divisors is an integer number (5742799104).

Almost surely, 2211212100112 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 211212100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229711964160).

211212100112 is an abundant number, since it is smaller than the sum of its proper divisors (248211828208).

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

211212100112 is a wasteful number, since it uses less digits than its factorization.

211212100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324472 (or 324466 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211212100112 its reverse (211001212112), we get a palindrome (422213312224).

The spelling of 211212100112 in words is "two hundred eleven billion, two hundred twelve million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 52 62 101 104 124 202 208 248 403 404 496 806 808 1313 1612 1616 2626 3131 3224 5252 6262 6448 10504 12524 21008 25048 40703 50096 81406 162812 324319 325624 648638 651248 1297276 2594552 4216147 5189104 8432294 10053889 16864588 20107778 32756219 33729176 40215556 65512438 67458352 80431112 130700557 131024876 160862224 261401114 262049752 425830847 522802228 524099504 851661694 1015442789 1045604456 1703323388 2030885578 2091208912 3406646776 4061771156 6813293552 8123542312 13200756257 16247084624 26401512514 52803025028 105606050056 211212100112