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10132110304420 = 2251338969655017
BaseRepresentation
bin1001001101110001000011…
…0101011110010010100100
31022212121202012002001220011
42103130100311132102210
52312001030214220140
633314343251220004
72064010065403546
oct223342065362244
938777665061804
1010132110304420
11325700513a095
1211778072a7604
135865b92b81a0
1427057a9a7696
1512885d1a6cea
hex93710d5e4a4

10132110304420 has 24 divisors (see below), whose sum is σ = 22914157150584. Its totient is φ = 3741086881536.

The previous prime is 10132110304417. The next prime is 10132110304423. The reversal of 10132110304420 is 2440301123101.

It is an interprime number because it is at equal distance from previous prime (10132110304417) and next prime (10132110304423).

It can be written as a sum of positive squares in 4 ways, for example, as 51028099236 + 10081082205184 = 225894^2 + 3175072^2 .

It is a super-3 number, since 3×101321103044203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132110304391 and 10132110304400.

It is not an unprimeable number, because it can be changed into a prime (10132110304423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19484827249 + ... + 19484827768.

It is an arithmetic number, because the mean of its divisors is an integer number (954756547941).

Almost surely, 210132110304420 is an apocalyptic number.

10132110304420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132110304420 is an abundant number, since it is smaller than the sum of its proper divisors (12782046846164).

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

10132110304420 is a wasteful number, since it uses less digits than its factorization.

10132110304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38969655039 (or 38969655037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10132110304420 its reverse (2440301123101), we get a palindrome (12572411427521).

The spelling of 10132110304420 in words is "ten trillion, one hundred thirty-two billion, one hundred ten million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 38969655017 77939310034 155878620068 194848275085 389696550170 506605515221 779393100340 1013211030442 2026422060884 2533027576105 5066055152210 10132110304420