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211120000212 = 223112323023429
BaseRepresentation
bin1100010010011110111…
…0111000110011010100
3202011221022112020002010
43010213232320303110
511424333210001322
6240553122144220
721152515251462
oct3044756706324
9664838466063
10211120000212
1181598810a20
1234abb7b2070
1316ba7070864
14a30acab832
15575981920c
hex3127bb8cd4

211120000212 has 72 divisors (see below), whose sum is σ = 561777481440. Its totient is φ = 61194182720.

The previous prime is 211120000171. The next prime is 211120000213. The reversal of 211120000212 is 212000021112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120000213) 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, 1441887 + ... + 1581542.

It is an arithmetic number, because the mean of its divisors is an integer number (7802465020).

Almost surely, 2211120000212 is an apocalyptic number.

211120000212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211120000212 is an abundant number, since it is smaller than the sum of its proper divisors (350657481228).

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

211120000212 is a wasteful number, since it uses less digits than its factorization.

211120000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023493 (or 3023468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211120000212 its reverse (212000021112), we get a palindrome (423120021324).

The spelling of 211120000212 in words is "two hundred eleven billion, one hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 529 759 1012 1058 1518 1587 2116 3036 3174 5819 6348 11638 17457 23276 34914 69828 3023429 6046858 9070287 12093716 18140574 33257719 36281148 66515438 69538867 99773157 133030876 139077734 199546314 208616601 278155468 399092628 417233202 764927537 834466404 1529855074 1599393941 2294782611 3059710148 3198787882 4589565222 4798181823 6397575764 9179130444 9596363646 17593333351 19192727292 35186666702 52780000053 70373333404 105560000106 211120000212