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2103252640132 = 227229569650317
BaseRepresentation
bin11110100110110011101…
…000000110000110000100
321110001212021220102122211
4132212303220012012010
5233424430133441012
64250115415233204
7304645363315300
oct36466350060604
97401767812584
102103252640132
11740a91313626
1229b75b078804
13123449bb3637
1473b258bcd00
1539a9ca626a7
hex1e9b3a06184

2103252640132 has 72 divisors (see below), whose sum is σ = 4437054682200. Its totient is φ = 868780555776.

The previous prime is 2103252640051. The next prime is 2103252640169. The reversal of 2103252640132 is 2310462523012.

It can be written as a sum of positive squares in 4 ways, for example, as 378611318596 + 1724641321536 = 615314^2 + 1313256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2103252640094 and 2103252640103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2909038 + ... + 3559354.

It is an arithmetic number, because the mean of its divisors is an integer number (61625759475).

Almost surely, 22103252640132 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 2103252640132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218527341100).

2103252640132 is an abundant number, since it is smaller than the sum of its proper divisors (2333802042068).

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

2103252640132 is a wasteful number, since it uses less digits than its factorization.

2103252640132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650933 (or 650924 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 2103252640132 in words is "two trillion, one hundred three billion, two hundred fifty-two million, six hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 569 812 1138 1421 2276 2842 3983 5684 7966 15932 16501 27881 33002 55762 66004 111524 115507 231014 462028 650317 808549 1300634 1617098 2601268 3234196 4552219 9104438 18208876 18859193 31865533 37718386 63731066 75436772 127462132 132014351 264028702 370030373 528057404 740060746 924100457 1480121492 1848200914 2590212611 3696401828 5180425222 10360850444 10730880817 18131488277 21461761634 36262976554 42923523268 72525953108 75116165719 150232331438 300464662876 525813160033 1051626320066 2103252640132