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2010311001132 = 2237312237345109
BaseRepresentation
bin11101010000001111110…
…111111000010000101100
321010011222000210222102220
4131100033313320100230
5230414104104014012
64135305113315340
7265145244365610
oct35201767702054
97104860728386
102010311001132
11705628173625
12285741105b50
13117757801a85
146d42a04b340
153745d31e08c
hex1d40fdf842c

2010311001132 has 96 divisors (see below), whose sum is σ = 5536249098240. Its totient is φ = 555596271360.

The previous prime is 2010311001131. The next prime is 2010311001137. The reversal of 2010311001132 is 2311001130102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2010311001131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5652594 + ... + 5997702.

It is an arithmetic number, because the mean of its divisors is an integer number (57669261440).

Almost surely, 22010311001132 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 2010311001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768124549120).

2010311001132 is an abundant number, since it is smaller than the sum of its proper divisors (3525938097108).

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

2010311001132 is a wasteful number, since it uses less digits than its factorization.

2010311001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347391 (or 347389 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2010311001132 its reverse (2311001130102), we get a palindrome (4321312131234).

The spelling of 2010311001132 in words is "two trillion, ten billion, three hundred eleven million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2237 2604 4474 6711 8948 13422 15659 26844 31318 46977 62636 69347 93954 138694 187908 208041 277388 345109 416082 485429 690218 832164 970858 1035327 1380436 1456287 1941716 2070654 2415763 2912574 4141308 4831526 5825148 7247289 9663052 10698379 14494578 21396758 28989156 32095137 42793516 64190274 74888653 128380548 149777306 224665959 299554612 449331918 772008833 898663836 1544017666 2316026499 3088035332 4632052998 5404061831 9264105996 10808123662 16212185493 21616247324 23932273823 32424370986 47864547646 64848741972 71796821469 95729095292 143593642938 167525916761 287187285876 335051833522 502577750283 670103667044 1005155500566 2010311001132