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2101434312 = 233534793449
BaseRepresentation
bin111110101000001…
…0101011111001000
312102110012220221110
41331100111133020
513300431344222
6544305010320
7103034616435
oct17520253710
95373186843
102101434312
1198922877a
124a79239a0
132764a0973
1415d140b8c
15c474c30c
hex7d4157c8

2101434312 has 64 divisors (see below), whose sum is σ = 5365440000. Its totient is φ = 685627904.

The previous prime is 2101434299. The next prime is 2101434367. The reversal of 2101434312 is 2134341012.

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, 607564 + ... + 611012.

It is an arithmetic number, because the mean of its divisors is an integer number (83835000).

Almost surely, 22101434312 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 2101434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682720000).

2101434312 is an abundant number, since it is smaller than the sum of its proper divisors (3264005688).

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

2101434312 is a wasteful number, since it uses less digits than its factorization.

2101434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2101434312 is about 45841.4039052034. The cubic root of 2101434312 is about 1280.8706462655.

Adding to 2101434312 its reverse (2134341012), we get a palindrome (4235775324).

The spelling of 2101434312 in words is "two billion, one hundred one million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 479 636 958 1272 1437 1916 2874 3449 3832 5748 6898 10347 11496 13796 20694 25387 27592 41388 50774 76161 82776 101548 152322 182797 203096 304644 365594 548391 609288 731188 1096782 1462376 1652071 2193564 3304142 4387128 4956213 6608284 9912426 13216568 19824852 39649704 87559763 175119526 262679289 350239052 525358578 700478104 1050717156 2101434312