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1301010311312 = 242916141173713
BaseRepresentation
bin10010111011101010010…
…000011110100010010000
311121101010122102120210122
4102323222100132202100
5132303432114430222
62433401554045412
7162665151116405
oct22735220364220
94541118376718
101301010311312
11461834449018
12190189879868
13958b9504a9a
1446d7d81c2ac
1523c97991a42
hex12eea41e890

1301010311312 has 40 divisors (see below), whose sum is σ = 2607804990840. Its totient is φ = 628031416320.

The previous prime is 1301010311269. The next prime is 1301010311327. The reversal of 1301010311312 is 2131130101031.

It can be written as a sum of positive squares in 4 ways, for example, as 414241555456 + 886768755856 = 643616^2 + 941684^2 .

It is a super-2 number, since 2×13010103113122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7402568 + ... + 7576280.

It is an arithmetic number, because the mean of its divisors is an integer number (65195124771).

Almost surely, 21301010311312 is an apocalyptic number.

It is an amenable number.

1301010311312 is an abundant number, since it is smaller than the sum of its proper divisors (1306794679528).

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

1301010311312 is a wasteful number, since it uses less digits than its factorization.

1301010311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189891 (or 189885 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1301010311312 its reverse (2131130101031), we get a palindrome (3432140412343).

The spelling of 1301010311312 in words is "one trillion, three hundred one billion, ten million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 16141 32282 64564 129128 173713 258256 347426 468089 694852 936178 1389704 1872356 2779408 3744712 5037677 7489424 10075354 20150708 40301416 80602832 2803901533 5607803066 11215606132 22431212264 44862424528 81313144457 162626288914 325252577828 650505155656 1301010311312