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5312001300 = 2235297277659
BaseRepresentation
bin1001111001001111…
…01011010100010100
3111201012110121212220
410330213223110110
541334333020200
62235034342340
7245431160154
oct47447532424
914635417786
105312001300
112286539221
121042b8a9b0
1366869c148
143856ba764
152115364a0
hex13c9eb514

5312001300 has 144 divisors (see below), whose sum is σ = 15607542720. Its totient is φ = 1394749440.

The previous prime is 5312001283. The next prime is 5312001301. The reversal of 5312001300 is 31002135.

It is a happy number.

It is a super-2 number, since 2×53120013002 = 56434715622403380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5312001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312001301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8060371 + ... + 8061029.

Almost surely, 25312001300 is an apocalyptic number.

5312001300 is a gapful number since it is divisible by the number (50) 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 5312001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803771360).

5312001300 is an abundant number, since it is smaller than the sum of its proper divisors (10295541420).

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

5312001300 is a wasteful number, since it uses less digits than its factorization.

5312001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5312001300 is about 72883.4775515000. The cubic root of 5312001300 is about 1744.8284109186.

Adding to 5312001300 its reverse (31002135), we get a palindrome (5343003435).

The spelling of 5312001300 in words is "five billion, three hundred twelve million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 277 291 300 388 485 554 582 659 831 970 1108 1164 1318 1385 1455 1662 1940 1977 2425 2636 2770 2910 3295 3324 3954 4155 4850 5540 5820 6590 6925 7275 7908 8310 9700 9885 13180 13850 14550 16475 16620 19770 20775 26869 27700 29100 32950 39540 41550 49425 53738 63923 65900 80607 83100 98850 107476 127846 134345 161214 182543 191769 197700 255692 268690 319615 322428 365086 383538 403035 537380 547629 639230 671725 730172 767076 806070 912715 958845 1095258 1278460 1343450 1598075 1612140 1825430 1917690 2015175 2190516 2686900 2738145 3196150 3650860 3835380 4030350 4563575 4794225 5476290 6392300 8060700 9127150 9588450 10952580 13690725 17706671 18254300 19176900 27381450 35413342 53120013 54762900 70826684 88533355 106240026 177066710 212480052 265600065 354133420 442666775 531200130 885333550 1062400260 1328000325 1770667100 2656000650 5312001300