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1320240101312 = 26114195344701
BaseRepresentation
bin10011001101100100011…
…100010011011111000000
311200012202210200010120002
4103031210130103133000
5133112322431220222
62450302051135132
7164245531462166
oct23154434233700
94605683603502
101320240101312
11469a02133950
12193a558a44a8
139766245a052
1447c856d1236
1524520cbc392
hex133647137c0

1320240101312 has 56 divisors (see below), whose sum is σ = 2858151826992. Its totient is φ = 600081408000.

The previous prime is 1320240101311. The next prime is 1320240101317. The reversal of 1320240101312 is 2131010420231.

It is a super-2 number, since 2×13202401013122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320240101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29512562 + ... + 29557262.

It is an arithmetic number, because the mean of its divisors is an integer number (51038425482).

Almost surely, 21320240101312 is an apocalyptic number.

It is an amenable number.

1320240101312 is an abundant number, since it is smaller than the sum of its proper divisors (1537911725680).

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

1320240101312 is a wasteful number, since it uses less digits than its factorization.

1320240101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86677 (or 86667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1320240101312 its reverse (2131010420231), we get a palindrome (3451250521543).

The spelling of 1320240101312 in words is "one trillion, three hundred twenty billion, two hundred forty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 41953 44701 83906 89402 167812 178804 335624 357608 461483 491711 671248 715216 922966 983422 1342496 1430432 1845932 1966844 2684992 2860864 3691864 3933688 7383728 7867376 14767456 15734752 29534912 31469504 1875341053 3750682106 7501364212 15002728424 20628751583 30005456848 41257503166 60010913696 82515006332 120021827392 165030012664 330060025328 660120050656 1320240101312