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1312002403020 = 2232523811390763
BaseRepresentation
bin10011000101111001011…
…011111110101011001100
311122102111200222200220100
4103011321123332223030
5132443440103344040
62442420420451100
7163534433264121
oct23057133765314
94572450880810
101312002403020
11466465175231
12192336b49a90
139694b8c096a
1447703630748
15241dc9bcb30
hex131796feacc

1312002403020 has 144 divisors (see below), whose sum is σ = 4157904022272. Its totient is φ = 334242184320.

The previous prime is 1312002403009. The next prime is 1312002403027. The reversal of 1312002403020 is 203042002131.

1312002403020 is a `hidden beast` number, since 1 + 3 + 120 + 0 + 240 + 302 + 0 = 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 = 1312002402984 and 1312002403002.

It is not an unprimeable number, because it can be changed into a prime (1312002403027) 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, 3162159 + ... + 3552921.

It is an arithmetic number, because the mean of its divisors is an integer number (28874333488).

Almost surely, 21312002403020 is an apocalyptic number.

1312002403020 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 1312002403020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078952011136).

1312002403020 is an abundant number, since it is smaller than the sum of its proper divisors (2845901619252).

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

1312002403020 is a wasteful number, since it uses less digits than its factorization.

1312002403020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391612 (or 391607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1312002403020 its reverse (203042002131), we get a palindrome (1515044405151).

The spelling of 1312002403020 in words is "one trillion, three hundred twelve billion, two million, four hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 811 828 1035 1380 1622 2070 2433 3244 4055 4140 4866 7299 8110 9732 12165 14598 16220 18653 24330 29196 36495 37306 48660 55959 72990 74612 93265 111918 145980 167877 186530 223836 279795 335754 373060 390763 559590 671508 781526 839385 1119180 1172289 1563052 1678770 1953815 2344578 3357540 3516867 3907630 4689156 5861445 7033734 7815260 8987549 11722890 14067468 17584335 17975098 23445780 26962647 35168670 35950196 44937745 53925294 70337340 80887941 89875490 107850588 134813235 161775882 179750980 269626470 316908793 323551764 404439705 539252940 633817586 808879410 950726379 1267635172 1584543965 1617758820 1901452758 2852179137 3169087930 3802905516 4753631895 5704358274 6338175860 7288902239 9507263790 11408716548 14260895685 14577804478 19014527580 21866706717 28521791370 29155608956 36444511195 43733413434 57043582740 65600120151 72889022390 87466826868 109333533585 131200240302 145778044780 218667067170 262400480604 328000600755 437334134340 656001201510 1312002403020