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2051241012 = 2232179533517
BaseRepresentation
bin111101001000011…
…0111010000110100
312021221202211200100
41322100313100310
513200104203022
6535313114100
7101555155332
oct17220672064
95257684610
102051241012
11962965807
12492b58930
13268c785a2
141565d6b52
15c01351ac
hex7a437434

2051241012 has 72 divisors (see below), whose sum is σ = 5497409736. Its totient is φ = 642668544.

The previous prime is 2051241011. The next prime is 2051241019. The reversal of 2051241012 is 2101421502.

It can be written as a sum of positive squares in 4 ways, for example, as 1034651556 + 1016589456 = 32166^2 + 31884^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051241011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581478 + ... + 584994.

It is an arithmetic number, because the mean of its divisors is an integer number (76352913).

Almost surely, 22051241012 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 2051241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748704868).

2051241012 is an abundant number, since it is smaller than the sum of its proper divisors (3446168724).

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

2051241012 is a wasteful number, since it uses less digits than its factorization.

2051241012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2051241012 is about 45290.6283021112. The cubic root of 2051241012 is about 1270.5903825021.

Adding to 2051241012 its reverse (2101421502), we get a palindrome (4152662514).

The spelling of 2051241012 in words is "two billion, fifty-one million, two hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 953 1906 2859 3517 3812 5718 7034 8577 10551 11436 14068 16201 17154 21102 31653 32402 34308 42204 48603 59789 63306 64804 97206 119578 126612 145809 179367 194412 239156 291618 358734 538101 583236 717468 1076202 2152404 3351701 6703402 10055103 13406804 20110206 30165309 40220412 56978917 60330618 113957834 120661236 170936751 227915668 341873502 512810253 683747004 1025620506 2051241012