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1310222010020 = 225711862998597
BaseRepresentation
bin10011000100001111010…
…100010100011010100100
311122020220121212100211212
4103010033110110122210
5132431313313310040
62441524020450552
7163442344221020
oct23041724243244
94566817770755
101310222010020
11465731192660
12191b1a849a58
1396726aa7191
14475b4dbd380
1524136538d65
hex1310f5146a4

1310222010020 has 96 divisors (see below), whose sum is σ = 3430831783680. Its totient is φ = 408329418240.

The previous prime is 1310222010001. The next prime is 1310222010037. The reversal of 1310222010020 is 200102220131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1310222009977 and 1310222010004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13239362 + ... + 13337958.

It is an arithmetic number, because the mean of its divisors is an integer number (35737831080).

Almost surely, 21310222010020 is an apocalyptic number.

1310222010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310222010020 is an abundant number, since it is smaller than the sum of its proper divisors (2120609773660).

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

1310222010020 is a wasteful number, since it uses less digits than its factorization.

1310222010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107253 (or 107251 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1310222010020 its reverse (200102220131), we get a palindrome (1510324230151).

The spelling of 1310222010020 in words is "one trillion, three hundred ten billion, two hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 8629 17258 34516 43145 60403 86290 94919 98597 120806 172580 189838 197194 241612 302015 379676 394388 474595 492985 604030 664433 690179 949190 985970 1084567 1208060 1328866 1380358 1898380 1971940 2169134 2657732 2760716 3322165 3450895 4338268 5422835 6644330 6901790 7591969 10845670 13288660 13803580 15183938 21691340 30367876 37959845 75919690 151839380 850793513 1701587026 3403174052 4253967565 5955554591 8507935130 9358728643 11911109182 17015870260 18717457286 23822218364 29777772955 37434914572 46793643215 59555545910 65511100501 93587286430 119111091820 131022201002 187174572860 262044402004 327555502505 655111005010 1310222010020