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1312300102120 = 2357113103340151
BaseRepresentation
bin10011000110001011001…
…011100111000111101000
311122110021110011101021221
4103012023023213013220
5133000042311231440
62442510133311424
7163545006551410
oct23061313470750
94573243141257
101312300102120
114665a8217a47
121923ba795574
1396998494387
1447730da5640
1524208bc4d4a
hex1318b2e71e8

1312300102120 has 128 divisors (see below), whose sum is σ = 3407729149440. Its totient is φ = 445506969600.

The previous prime is 1312300102097. The next prime is 1312300102159. The reversal of 1312300102120 is 212010032131.

It is a junction number, because it is equal to n+sod(n) for n = 1312300102094 and 1312300102103.

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, 32664045 + ... + 32704195.

It is an arithmetic number, because the mean of its divisors is an integer number (26622883980).

Almost surely, 21312300102120 is an apocalyptic number.

1312300102120 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 1312300102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703864574720).

1312300102120 is an abundant number, since it is smaller than the sum of its proper divisors (2095429047320).

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

1312300102120 is a wasteful number, since it uses less digits than its factorization.

1312300102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41315 (or 41311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1312300102120 its reverse (212010032131), we get a palindrome (1524310134251).

The spelling of 1312300102120 in words is "one trillion, three hundred twelve billion, three hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1033 1130 1582 2066 2260 3164 3955 4132 4520 5165 6328 7231 7910 8264 10330 14462 15820 20660 28924 31640 36155 40151 41320 57848 72310 80302 116729 144620 160604 200755 233458 281057 289240 321208 401510 466916 562114 583645 803020 817103 933832 1124228 1167290 1405285 1606040 1634206 2248456 2334580 2810570 3268412 4085515 4537063 4669160 5621140 6536824 8171030 9074126 11242280 16342060 18148252 22685315 31759441 32684120 36296504 41475983 45370630 63518882 82951966 90741260 127037764 158797205 165903932 181482520 207379915 254075528 290331881 317594410 331807864 414759830 580663762 635188820 829519660 1161327524 1270377640 1451659405 1659039320 2322655048 2903318810 4686786079 5806637620 9373572158 11613275240 18747144316 23433930395 32807502553 37494288632 46867860790 65615005106 93735721580 131230010212 164037512765 187471443160 262460020424 328075025530 656150051060 1312300102120