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1310041020 = 223541532537
BaseRepresentation
bin100111000010101…
…1010001110111100
310101022001222102210
41032011122032330
510140332303040
6333554420420
744315110401
oct11605321674
93338058383
101310041020
11612536232
12306891710
1317b542402
14c5db62a8
157a025480
hex4e15a3bc

1310041020 has 48 divisors (see below), whose sum is σ = 3757588128. Its totient is φ = 340823040.

The previous prime is 1310041001. The next prime is 1310041039. The reversal of 1310041020 is 201400131.

It is a happy number.

1310041020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1310041001) and next prime (1310041039).

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

It is a junction number, because it is equal to n+sod(n) for n = 1310040987 and 1310041005.

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, 263809 + ... + 268728.

It is an arithmetic number, because the mean of its divisors is an integer number (78283086).

Almost surely, 21310041020 is an apocalyptic number.

1310041020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310041020 is an abundant number, since it is smaller than the sum of its proper divisors (2447547108).

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

1310041020 is a wasteful number, since it uses less digits than its factorization.

1310041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532590 (or 532588 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1310041020 is about 36194.4888069993. The cubic root of 1310041020 is about 1094.1956019657.

Adding to 1310041020 its reverse (201400131), we get a palindrome (1511441151).

The spelling of 1310041020 in words is "one billion, three hundred ten million, forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 532537 1065074 1597611 2130148 2662685 3195222 5325370 6390444 7988055 10650740 15976110 21834017 31952220 43668034 65502051 87336068 109170085 131004102 218340170 262008204 327510255 436680340 655020510 1310041020