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200002131087564 = 2231329208721183103
BaseRepresentation
bin101101011110011010011111…
…111110100101000011001100
3222020011000110101122112010110
4231132122133332211003030
5202203313331024300224
61545211413254040020
760061451153260011
oct5536323776450314
9866130411575113
10200002131087564
11587aa477a54a43
121a521905049010
13877a173942a40
143756224a83708
15181c7ab1e7929
hexb5e69ffa50cc

200002131087564 has 96 divisors (see below), whose sum is σ = 520148576747520. Its totient is φ = 59388605837568.

The previous prime is 200002131087529. The next prime is 200002131087569. The reversal of 200002131087564 is 465780131200002.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (200002131087569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149964 + ... + 20033139.

It is an arithmetic number, because the mean of its divisors is an integer number (5418214341120).

Almost surely, 2200002131087564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002131087564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260074288373760).

200002131087564 is an abundant number, since it is smaller than the sum of its proper divisors (320146445659956).

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

200002131087564 is a wasteful number, since it uses less digits than its factorization.

200002131087564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21185239 (or 21185237 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 200002131087564 its reverse (465780131200002), we get a palindrome (665782262287566).

The spelling of 200002131087564 in words is "two hundred trillion, two billion, one hundred thirty-one million, eighty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2087 2262 4174 4524 6261 8348 12522 25044 27131 54262 60523 81393 108524 121046 162786 181569 242092 325572 363138 726276 786799 1573598 2360397 3147196 4720794 9441588 21183103 42366206 63549309 84732412 127098618 254197236 275380339 550760678 614309987 826141017 1101521356 1228619974 1652282034 1842929961 2457239948 3304564068 3685859922 7371719844 7986029831 15972059662 23958089493 31944119324 44209135961 47916178986 88418271922 95832357972 132627407883 176836543844 265254815766 530509631532 574718767493 1149437534986 1282064942869 1724156302479 2298875069972 2564129885738 3448312604958 3846194828607 5128259771476 6896625209916 7692389657214 15384779314428 16666844257297 33333688514594 50000532771891 66667377029188 100001065543782 200002131087564