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1310100220 = 2251113835519
BaseRepresentation
bin100111000010110…
…1000101011111100
310101022011222122101
41032011220223330
510140341201340
6333555554444
744315445112
oct11605505374
93338158571
101310100220
11612576760
123068bba24
1317b563340
14c5dcdab2
157a037c9a
hex4e168afc

1310100220 has 96 divisors (see below), whose sum is σ = 3271726080. Its totient is φ = 434376960.

The previous prime is 1310100199. The next prime is 1310100229. The reversal of 1310100220 is 220010131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1310100197 and 1310100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310100229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234621 + ... + 240139.

It is an arithmetic number, because the mean of its divisors is an integer number (34080480).

Almost surely, 21310100220 is an apocalyptic number.

1310100220 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 1310100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635863040).

1310100220 is an abundant number, since it is smaller than the sum of its proper divisors (1961625860).

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

1310100220 is a wasteful number, since it uses less digits than its factorization.

1310100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1310100220 is about 36195.3066018234. The cubic root of 1310100220 is about 1094.2120837407.

Adding to 1310100220 its reverse (220010131), we get a palindrome (1530110351).

The spelling of 1310100220 in words is "one billion, three hundred ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 83 110 130 143 166 220 260 286 332 415 572 715 830 913 1079 1430 1660 1826 2158 2860 3652 4316 4565 5395 5519 9130 10790 11038 11869 18260 21580 22076 23738 27595 47476 55190 59345 60709 71747 110380 118690 121418 143494 237380 242836 286988 303545 358735 458077 607090 717470 789217 916154 1214180 1434940 1578434 1832308 2290385 3156868 3946085 4580770 5038847 5955001 7892170 9161540 10077694 11910002 15784340 20155388 23820004 25194235 29775005 50388470 59550010 65505011 100776940 119100020 131010022 262020044 327525055 655050110 1310100220