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1320402433100 = 2252193517197597
BaseRepresentation
bin10011001101101110000…
…111100011010001001100
311200020012010010102220112
4103031232013203101030
5133113141010324400
62450330130335152
7164252542332542
oct23155607432114
94606163112815
101320402433100
11469a85829153
12193aa012a4b8
1397689c85c6a
1447c9d0a9d92
1524530185835
hex1336e1e344c

1320402433100 has 72 divisors (see below), whose sum is σ = 3016949975760. Its totient is φ = 500218225920.

The previous prime is 1320402433079. The next prime is 1320402433111. The reversal of 1320402433100 is 13342040231.

It is a super-2 number, since 2×13204024331002 (a number of 25 digits) contains 22 as substring.

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, 6583502 + ... + 6781098.

Almost surely, 21320402433100 is an apocalyptic number.

1320402433100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320402433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508474987880).

1320402433100 is an abundant number, since it is smaller than the sum of its proper divisors (1696547542660).

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

1320402433100 is a wasteful number, since it uses less digits than its factorization.

1320402433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201147 (or 201140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1320402433100 its reverse (13342040231), we get a palindrome (1333744473331).

The spelling of 1320402433100 in words is "one trillion, three hundred twenty billion, four hundred two million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 3517 7034 14068 17585 35170 66823 70340 87925 133646 175850 197597 267292 334115 351700 395194 668230 790388 987985 1336460 1670575 1975970 3341150 3754343 3951940 4939925 6682300 7508686 9879850 15017372 18771715 19759700 37543430 75086860 93858575 187717150 375434300 694948649 1389897298 2779794596 3474743245 6949486490 13204024331 13898972980 17373716225 26408048662 34747432450 52816097324 66020121655 69494864900 132040243310 264080486620 330100608275 660201216550 1320402433100