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200123202432 = 2731927429167
BaseRepresentation
bin1011101001100001000…
…1011011101110000000
3201010112221010000110110
42322120101123232000
511234323014434212
6231534010431320
720313145103526
oct2723021335600
9633487100413
10200123202432
117796536aa9a
1232950a32540
1315b439c791a
1499865d2316
1553141ada3c
hex2e9845bb80

200123202432 has 64 divisors (see below), whose sum is σ = 559555027200. Its totient is φ = 63196798464.

The previous prime is 200123202401. The next prime is 200123202467. The reversal of 200123202432 is 234202321002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 200123202399 and 200123202408.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13707288 + ... + 13721879.

It is an arithmetic number, because the mean of its divisors is an integer number (8743047300).

Almost surely, 2200123202432 is an apocalyptic number.

It is an amenable number.

200123202432 is an abundant number, since it is smaller than the sum of its proper divisors (359431824768).

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

200123202432 is a wasteful number, since it uses less digits than its factorization.

200123202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27429203 (or 27429191 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 200123202432 its reverse (234202321002), we get a palindrome (434325523434).

The spelling of 200123202432 in words is "two hundred billion, one hundred twenty-three million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 27429167 54858334 82287501 109716668 164575002 219433336 329150004 438866672 521154173 658300008 877733344 1042308346 1316600016 1563462519 1755466688 2084616692 2633200032 3126925038 3510933376 4169233384 5266400064 6253850076 8338466768 10532800128 12507700152 16676933536 25015400304 33353867072 50030800608 66707734144 100061601216 200123202432