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1020220212 = 2231125911909
BaseRepresentation
bin111100110011110…
…101001100110100
32122002201120000210
4330303311030310
54042134021322
6245122505420
734165504644
oct7463651464
92562646023
101020220212
11483984600
12245805270
131334998cb
14996d2524
155e87770c
hex3ccf5334

1020220212 has 72 divisors (see below), whose sum is σ = 2661170400. Its totient is φ = 303892160.

The previous prime is 1020220207. The next prime is 1020220241. The reversal of 1020220212 is 2120220201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79714 + ... + 91622.

It is an arithmetic number, because the mean of its divisors is an integer number (36960700).

Almost surely, 21020220212 is an apocalyptic number.

1020220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330585200).

1020220212 is an abundant number, since it is smaller than the sum of its proper divisors (1640950188).

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

1020220212 is a wasteful number, since it uses less digits than its factorization.

1020220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11984 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1020220212 is about 31940.8862118758. The cubic root of 1020220212 is about 1006.6951456547.

Adding to 1020220212 its reverse (2120220201), we get a palindrome (3140440413).

The spelling of 1020220212 in words is "one billion, twenty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 121 132 177 236 242 354 363 484 649 708 726 1298 1452 1947 2596 3894 7139 7788 11909 14278 21417 23818 28556 35727 42834 47636 71454 85668 130999 142908 261998 392997 523996 702631 785994 1405262 1440989 1571988 2107893 2810524 2881978 4215786 4322967 5763956 7728941 8431572 8645934 15457882 17291868 23186823 30915764 46373646 85018351 92747292 170036702 255055053 340073404 510110106 1020220212