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15031005200 = 2452596131039
BaseRepresentation
bin11011111111110101…
…01111000000010000
31102210112111011211022
431333322233000100
5221240414131300
610523302335012
71041324302411
oct157772570020
942715434738
1015031005200
116413679752
122ab5a2a468
1315570b3723
14a283b5808
155ce8db285
hex37feaf010

15031005200 has 120 divisors (see below), whose sum is σ = 36819369600. Its totient is φ = 5895175680.

The previous prime is 15031005161. The next prime is 15031005217. The reversal of 15031005200 is 250013051.

It is a Cunningham number, because it is equal to 1226012-1.

It is a super-2 number, since 2×150310052002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14466281 + ... + 14467319.

It is an arithmetic number, because the mean of its divisors is an integer number (306828080).

Almost surely, 215031005200 is an apocalyptic number.

15031005200 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 15031005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18409684800).

15031005200 is an abundant number, since it is smaller than the sum of its proper divisors (21788364400).

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

15031005200 is a wasteful number, since it uses less digits than its factorization.

15031005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 15031005200 its reverse (250013051), we get a palindrome (15281018251).

The spelling of 15031005200 in words is "fifteen billion, thirty-one million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 613 944 1039 1180 1226 1475 2078 2360 2452 2950 3065 4156 4720 4904 5195 5900 6130 8312 9808 10390 11800 12260 15325 16624 20780 23600 24520 25975 30650 36167 41560 49040 51950 61300 61301 72334 83120 103900 122600 122602 144668 180835 207800 245200 245204 289336 306505 361670 415600 490408 578672 613010 636907 723340 904175 980816 1226020 1273814 1446680 1532525 1808350 2452040 2547628 2893360 3065050 3184535 3616700 4904080 5095256 6130100 6369070 7233400 10190512 12260200 12738140 14466800 15922675 24520400 25476280 31845350 37577513 50952560 63690700 75155026 127381400 150310052 187887565 254762800 300620104 375775130 601240208 751550260 939437825 1503100520 1878875650 3006201040 3757751300 7515502600 15031005200