Search a number
-
+
13100525361132 = 22311251395404001
BaseRepresentation
bin1011111010100011010000…
…1010010001011111101100
31201101101202010200222111220
42332220310022101133230
53204114333443024012
643510144231543340
72521324142152116
oct276506412213754
951341663628456
1013100525361132
1141a09a1044450
121576b7752ab50
137404b328c621
143340d6b603b6
1517ab94a9908c
hexbea342917ec

13100525361132 has 48 divisors (see below), whose sum is σ = 33479647657344. Its totient is φ = 3954040000000.

The previous prime is 13100525361109. The next prime is 13100525361173. The reversal of 13100525361132 is 23116352500131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13100525361093 and 13100525361102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197668869 + ... + 197735132.

It is an arithmetic number, because the mean of its divisors is an integer number (697492659528).

Almost surely, 213100525361132 is an apocalyptic number.

13100525361132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13100525361132 is an abundant number, since it is smaller than the sum of its proper divisors (20379122296212).

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

13100525361132 is a wasteful number, since it uses less digits than its factorization.

13100525361132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395404270 (or 395404268 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 13100525361132 its reverse (23116352500131), we get a palindrome (36216877861263).

The spelling of 13100525361132 in words is "thirteen trillion, one hundred billion, five hundred twenty-five million, three hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 251 502 753 1004 1506 2761 3012 5522 8283 11044 16566 33132 395404001 790808002 1186212003 1581616004 2372424006 4349444011 4744848012 8698888022 13048332033 17397776044 26096664066 52193328132 99246404251 198492808502 297739212753 396985617004 595478425506 1091710446761 1190956851012 2183420893522 3275131340283 4366841787044 6550262680566 13100525361132