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2211312012 = 22371310391949
BaseRepresentation
bin1000001111001101…
…1111000110001100
312201002222021210220
42003303133012030
514012043441022
61003232031340
7105540561540
oct20363370614
95632867726
102211312012
11a35256498
12518692550
13293192460
1416d983a20
15ce20385c
hex83cdf18c

2211312012 has 96 divisors (see below), whose sum is σ = 6359808000. Its totient is φ = 582342912.

The previous prime is 2211312011. The next prime is 2211312053. The reversal of 2211312012 is 2102131122.

2211312012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2211311982 and 2211312000.

It is not an unprimeable number, because it can be changed into a prime (2211312011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133614 + ... + 1135562.

It is an arithmetic number, because the mean of its divisors is an integer number (66248000).

Almost surely, 22211312012 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 2211312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179904000).

2211312012 is an abundant number, since it is smaller than the sum of its proper divisors (4148495988).

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

2211312012 is a wasteful number, since it uses less digits than its factorization.

2211312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3013 counting only the distinct ones).

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

The square root of 2211312012 is about 47024.5894399941. The cubic root of 2211312012 is about 1302.8167743986.

Adding to 2211312012 its reverse (2102131122), we get a palindrome (4313443134).

The spelling of 2211312012 in words is "two billion, two hundred eleven million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1039 1092 1949 2078 3117 3898 4156 5847 6234 7273 7796 11694 12468 13507 13643 14546 21819 23388 25337 27014 27286 29092 40521 40929 43638 50674 54028 54572 76011 81042 81858 87276 94549 101348 152022 162084 163716 177359 189098 283647 304044 354718 378196 532077 567294 709436 1064154 1134588 2025011 2128308 4050022 6075033 8100044 12150066 14175077 24300132 26325143 28350154 42525231 52650286 56700308 78975429 85050462 105300572 157950858 170100924 184276001 315901716 368552002 552828003 737104004 1105656006 2211312012