Search a number
-
+
1313002120020 = 2235521184722741
BaseRepresentation
bin10011000110110101000…
…001100110001101010100
311122112002101010120210220
4103012311001212031110
5133003012020320040
62443103532114340
7163601262606003
oct23066501461524
94575071116726
101313002120020
11466928515428
121925759059b0
1396a7aa5c096
144779a306c3a
152424a6452d0
hex131b5066354

1313002120020 has 96 divisors (see below), whose sum is σ = 3685618734336. Its totient is φ = 349257292800.

The previous prime is 1313002120013. The next prime is 1313002120037. The reversal of 1313002120020 is 200212003131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57725850 + ... + 57748590.

It is an arithmetic number, because the mean of its divisors is an integer number (38391861816).

Almost surely, 21313002120020 is an apocalyptic number.

1313002120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313002120020 is an abundant number, since it is smaller than the sum of its proper divisors (2372616614316).

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

1313002120020 is a wasteful number, since it uses less digits than its factorization.

1313002120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25121 (or 25119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1313002120020 its reverse (200212003131), we get a palindrome (1513214123151).

The spelling of 1313002120020 in words is "one trillion, three hundred thirteen billion, two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 521 1042 1563 1847 2084 2605 3126 3694 5210 5541 6252 7388 7815 9235 10420 11082 15630 18470 22164 22741 27705 31260 36940 45482 55410 68223 90964 110820 113705 136446 227410 272892 341115 454820 682230 962287 1364460 1924574 2886861 3849148 4811435 5773722 9622870 11547444 11848061 14434305 19245740 23696122 28868610 35544183 42002627 47392244 57737220 59240305 71088366 84005254 118480610 126007881 142176732 168010508 177720915 210013135 236961220 252015762 355441830 420026270 504031524 630039405 710883660 840052540 1260078810 2520157620 21883368667 43766737334 65650106001 87533474668 109416843335 131300212002 218833686670 262600424004 328250530005 437667373340 656501060010 1313002120020