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2123202012 = 2231717360161
BaseRepresentation
bin111111010001101…
…0111110111011100
312110222011211121120
41332203113313130
513322014431022
6550403330540
7103420630221
oct17643276734
95428154546
102123202012
1199a546108
124b3080a50
1327ab52869
14161da9948
15c65ebd5c
hex7e8d7ddc

2123202012 has 48 divisors (see below), whose sum is σ = 5275966752. Its totient is φ = 662241280.

The previous prime is 2123201981. The next prime is 2123202023. The reversal of 2123202012 is 2102023212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2123201982 and 2123202000.

It is a congruent number.

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, 5212 + ... + 65372.

It is an arithmetic number, because the mean of its divisors is an integer number (109915974).

Almost surely, 22123202012 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 2123202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637983376).

2123202012 is an abundant number, since it is smaller than the sum of its proper divisors (3152764740).

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

2123202012 is a wasteful number, since it uses less digits than its factorization.

2123202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60358 (or 60356 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2123202012 is about 46078.2162415170. The cubic root of 2123202012 is about 1285.2780943131.

Adding to 2123202012 its reverse (2102023212), we get a palindrome (4225225224).

The spelling of 2123202012 in words is "two billion, one hundred twenty-three million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 173 204 346 519 692 1038 2076 2941 5882 8823 11764 17646 35292 60161 120322 180483 240644 360966 721932 1022737 2045474 3068211 4090948 6136422 10407853 12272844 20815706 31223559 41631412 62447118 124894236 176933501 353867002 530800503 707734004 1061601006 2123202012