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200013033012 = 223134371419959
BaseRepresentation
bin1011101001000110110…
…1001010111000110100
3201010021020210211102120
42322101231022320310
511234111314024022
6231515033235540
720310336505062
oct2722155127064
9633236724376
10200013033012
1177909163091
123291bb62bb0
1315b26c33410
149975b15032
15530969ad5c
hex2e91b4ae34

200013033012 has 96 divisors (see below), whose sum is σ = 521529845760. Its totient is φ = 59264472960.

The previous prime is 200013032987. The next prime is 200013033023. The reversal of 200013033012 is 210330310002.

200013033012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200013032982 and 200013033000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 266289 + ... + 686247.

It is an arithmetic number, because the mean of its divisors is an integer number (5432602560).

Almost surely, 2200013033012 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 200013033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260764922880).

200013033012 is an abundant number, since it is smaller than the sum of its proper divisors (321516812748).

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

200013033012 is a wasteful number, since it uses less digits than its factorization.

200013033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420093 (or 420091 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 200013033012 its reverse (210330310002), we get a palindrome (410343343014).

The spelling of 200013033012 in words is "two hundred billion, thirteen million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 71 78 86 129 142 156 172 213 258 284 426 516 559 852 923 1118 1677 1846 2236 2769 3053 3354 3692 5538 6106 6708 9159 11076 12212 18318 36636 39689 79378 119067 158756 238134 419959 476268 839918 1259877 1679836 2519754 5039508 5459467 10918934 16378401 18058237 21837868 29817089 32756802 36116474 54174711 59634178 65513604 72232948 89451267 108349422 119268356 178902534 216698844 234757081 357805068 387622157 469514162 704271243 775244314 939028324 1162866471 1282134827 1408542486 1550488628 2325732942 2564269654 2817084972 3846404481 4651465884 5128539308 7692808962 15385617924 16667752751 33335505502 50003258253 66671011004 100006516506 200013033012