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200132132330322 = 232311035365364901
BaseRepresentation
bin101101100000010011100100…
…101001111101101101010010
3222020121110000101220220111100
4231200103210221331231102
5202212431101334032242
61545351233215525230
760104032543511403
oct5540234451755522
9866543011826440
10200132132330322
115884a6192a2845
121a542b46229816
1387894c0b6111a
14375c6383939aa
151820d6920454c
hexb604e4a7db52

200132132330322 has 96 divisors (see below), whose sum is σ = 451968439643136. Its totient is φ = 63929791728000.

The previous prime is 200132132330243. The next prime is 200132132330399. The reversal of 200132132330322 is 223033231231002.

200132132330322 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 2 + 1 + 3 + 2 + 330 + 322 = 666.

200132132330322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3083620072 + ... + 3083684972.

It is an arithmetic number, because the mean of its divisors is an integer number (4708004579616).

Almost surely, 2200132132330322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200132132330322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225984219821568).

200132132330322 is an abundant number, since it is smaller than the sum of its proper divisors (251836307312814).

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

200132132330322 is a wasteful number, since it uses less digits than its factorization.

200132132330322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118696 (or 118693 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 200132132330322 its reverse (223033231231002), we get a palindrome (423165363561324).

The spelling of 200132132330322 in words is "two hundred trillion, one hundred thirty-two billion, one hundred thirty-two million, three hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 279 309 558 618 927 1854 3193 6386 9579 19158 28737 53653 57474 64901 107306 129802 160959 194703 321918 389406 482877 584109 965754 1168218 1663243 2011931 3326486 4023862 4989729 5526259 6035793 6684803 9979458 11052518 12071586 13369606 14969187 16578777 18107379 20054409 29938374 33157554 36214758 40108818 49736331 60163227 99472662 120326454 171314029 207228893 342628058 414457786 513942087 621686679 1027884174 1243373358 1541826261 1865060037 3083652522 3482133353 3730120074 6964266706 10446400059 20892800118 31339200177 62678400354 107946133943 215892267886 323838401829 358659735359 647676803658 717319470718 971515205487 1075979206077 1943030410974 2151958412154 3227937618231 6455875236462 11118451796129 22236903592258 33355355388387 66710710776774 100066066165161 200132132330322