Search a number
-
+
1312002100024 = 237116613222199
BaseRepresentation
bin10011000101111001011…
…010110100101100111000
311122102111200102022021021
4103011321122310230320
5132443440014200044
62442420410152224
7163534430562550
oct23057132645470
94572450368237
101312002100024
11466464a88620
12192336a22674
139694b815a85
1447703592160
15241dc95ce84
hex131796b4b38

1312002100024 has 64 divisors (see below), whose sum is σ = 3071658816000. Its totient is φ = 510396163200.

The previous prime is 1312002100021. The next prime is 1312002100027. The reversal of 1312002100024 is 4200012002131.

It is an interprime number because it is at equal distance from previous prime (1312002100021) and next prime (1312002100027).

It is a super-2 number, since 2×13120021000242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312002099980 and 1312002100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312002100021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203924 + ... + 2018275.

It is an arithmetic number, because the mean of its divisors is an integer number (47994669000).

Almost surely, 21312002100024 is an apocalyptic number.

1312002100024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1312002100024 is an abundant number, since it is smaller than the sum of its proper divisors (1759656715976).

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

1312002100024 is a wasteful number, since it uses less digits than its factorization.

1312002100024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222884 (or 3222880 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1312002100024 its reverse (4200012002131), we get a palindrome (5512014102155).

The spelling of 1312002100024 in words is "one trillion, three hundred twelve billion, two million, one hundred thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 661 1322 2644 4627 5288 7271 9254 14542 18508 29084 37016 50897 58168 101794 203588 407176 3222199 6444398 12888796 22555393 25777592 35444189 45110786 70888378 90221572 141776756 180443144 248109323 283553512 496218646 992437292 1984874584 2129873539 4259747078 8519494156 14909114773 17038988312 23428608929 29818229546 46857217858 59636459092 93714435716 119272918184 164000262503 187428871432 328000525006 656001050012 1312002100024