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1002097134 = 23231732337
BaseRepresentation
bin111011101110101…
…100100111101110
32120211121210211200
4323232230213232
54023014102014
6243234230330
733555453663
oct7356544756
92524553750
101002097134
11474726455
1223b7253a6
1312c7c28ac
1497135a6a
155ce97a09
hex3bbac9ee

1002097134 has 72 divisors (see below), whose sum is σ = 2279115072. Its totient is φ = 317882880.

The previous prime is 1002097133. The next prime is 1002097139. The reversal of 1002097134 is 4317902001.

It is a junction number, because it is equal to n+sod(n) for n = 1002097098 and 1002097107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002097133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2973414 + ... + 2973750.

It is an arithmetic number, because the mean of its divisors is an integer number (31654376).

Almost surely, 21002097134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002097134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139557536).

1002097134 is an abundant number, since it is smaller than the sum of its proper divisors (1277017938).

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

1002097134 is a wasteful number, since it uses less digits than its factorization.

1002097134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1002097134 is about 31655.9178353748. The cubic root of 1002097134 is about 1000.6985565718.

Adding to 1002097134 its reverse (4317902001), we get a palindrome (5319999135).

The spelling of 1002097134 in words is "one billion, two million, ninety-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 73 93 146 186 219 279 337 438 558 657 674 1011 1314 2022 2263 3033 4526 5329 6066 6789 10447 10658 13578 15987 20367 20894 24601 31341 31974 40734 47961 49202 62682 73803 94023 95922 147606 165199 188046 221409 330398 442818 495597 762631 991194 1486791 1525262 1795873 2287893 2973582 3591746 4575786 5387619 6863679 10775238 13727358 16162857 32325714 55672063 111344126 167016189 334032378 501048567 1002097134