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2011312212 = 223731337589
BaseRepresentation
bin111011111100010…
…0011000001010100
312012011122020122220
41313320203001110
513104343442322
6531325222340
7100561605000
oct16770430124
95164566586
102011312212
119423736a8
124817019b0
13260908290
141511a1700
15bb89955c
hex77e23054

2011312212 has 96 divisors (see below), whose sum is σ = 5894112000. Its totient is φ = 530441856.

The previous prime is 2011312201. The next prime is 2011312231. The reversal of 2011312212 is 2122131102.

It is a junction number, because it is equal to n+sod(n) for n = 2011312191 and 2011312200.

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, 34714 + ... + 72302.

It is an arithmetic number, because the mean of its divisors is an integer number (61397000).

Almost surely, 22011312212 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 2011312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947056000).

2011312212 is an abundant number, since it is smaller than the sum of its proper divisors (3882799788).

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

2011312212 is a wasteful number, since it uses less digits than its factorization.

2011312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37630 (or 37614 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2011312212 is about 44847.6555909002. The cubic root of 2011312212 is about 1262.2920010505.

Adding to 2011312212 its reverse (2122131102), we get a palindrome (4133443314).

The spelling of 2011312212 in words is "two billion, eleven million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 1029 1092 1274 1372 1911 2058 2548 3822 4116 4459 7644 8918 13377 17836 26754 37589 53508 75178 112767 150356 225534 263123 451068 488657 526246 789369 977314 1052492 1465971 1578738 1841861 1954628 2931942 3157476 3420599 3683722 5525583 5863884 6841198 7367444 10261797 11051166 12893027 13682396 20523594 22102332 23944193 25786054 38679081 41047188 47888386 51572108 71832579 77358162 95776772 143665158 154716324 167609351 287330316 335218702 502828053 670437404 1005656106 2011312212