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1310320130220 = 22325191213315857
BaseRepresentation
bin10011000100010101001…
…010100111100010101100
311122021011110111101110100
4103010111022213202230
5132432013423131340
62441541443511100
7163444645223523
oct23042512474254
94567143441410
101310320130220
1146578160a832
12191b47688490
139674121017a
14475c40414ba
152413ee6b830
hex131152a78ac

1310320130220 has 144 divisors (see below), whose sum is σ = 4187291603040. Its totient is φ = 330754295808.

The previous prime is 1310320130213. The next prime is 1310320130221. The reversal of 1310320130220 is 220310230131.

1310320130220 is a `hidden beast` number, since 1 + 310 + 3 + 2 + 0 + 130 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310320130193 and 1310320130202.

It is not an unprimeable number, because it can be changed into a prime (1310320130221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3990532 + ... + 4306388.

It is an arithmetic number, because the mean of its divisors is an integer number (29078413910).

Almost surely, 21310320130220 is an apocalyptic number.

1310320130220 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 1310320130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093645801520).

1310320130220 is an abundant number, since it is smaller than the sum of its proper divisors (2876971472820).

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

1310320130220 is a wasteful number, since it uses less digits than its factorization.

1310320130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317104 (or 317099 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310320130220 its reverse (220310230131), we get a palindrome (1530630360351).

The spelling of 1310320130220 in words is "one trillion, three hundred ten billion, three hundred twenty million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1213 1710 2426 3420 3639 4852 6065 7278 10917 12130 14556 18195 21834 23047 24260 36390 43668 46094 54585 69141 72780 92188 109170 115235 138282 207423 218340 230470 276564 315857 345705 414846 460940 631714 691410 829692 947571 1037115 1263428 1382820 1579285 1895142 2074230 2842713 3158570 3790284 4148460 4737855 5685426 6001283 6317140 9475710 11370852 12002566 14213565 18003849 18951420 24005132 28427130 30006415 36007698 54011547 56854260 60012830 72015396 90019245 108023094 120025660 180038490 216046188 270057735 360076980 383134541 540115470 766269082 1080230940 1149403623 1532538164 1915672705 2298807246 3448210869 3831345410 4597614492 5747018115 6896421738 7279556279 7662690820 11494036230 13792843476 14559112558 17241054345 21838668837 22988072460 29118225116 34482108690 36397781395 43677337674 65516006511 68964217380 72795562790 87354675348 109193344185 131032013022 145591125580 218386688370 262064026044 327580032555 436773376740 655160065110 1310320130220