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200312313220032 = 26313202739592171
BaseRepresentation
bin101101100010111011011000…
…010001100000101111000000
3222021020200002112001110202220
4231202323120101200233000
5202223404104141020112
61550010112321411040
760123041600013636
oct5542733021405700
9867220075043686
10200312313220032
1158909a7a755052
121a571a50499a80
1387a04a70cb4b0
14376724c1d9356
1518258b273e98c
hexb62ed8460bc0

200312313220032 has 112 divisors (see below), whose sum is σ = 571043281291392. Its totient is φ = 61604149570560.

The previous prime is 200312313219989. The next prime is 200312313220073. The reversal of 200312313220032 is 230022313213002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 200312313219984 and 200312313220011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14736694 + ... + 24855477.

It is an arithmetic number, because the mean of its divisors is an integer number (5098600725816).

Almost surely, 2200312313220032 is an apocalyptic number.

It is an amenable number.

200312313220032 is an abundant number, since it is smaller than the sum of its proper divisors (370730968071360).

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

200312313220032 is a wasteful number, since it uses less digits than its factorization.

200312313220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39594226 (or 39594216 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 200312313220032 its reverse (230022313213002), we get a palindrome (430334626433034).

The spelling of 200312313220032 in words is "two hundred trillion, three hundred twelve billion, three hundred thirteen million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2027 2496 4054 6081 8108 12162 16216 24324 26351 32432 48648 52702 64864 79053 97296 105404 129728 158106 194592 210808 316212 389184 421616 632424 843232 1264848 1686464 2529696 5059392 39592171 79184342 118776513 158368684 237553026 316737368 475106052 514698223 633474736 950212104 1029396446 1266949472 1544094669 1900424208 2058792892 2533898944 3088189338 3800848416 4117585784 6176378676 7601696832 8235171568 12352757352 16470343136 24705514704 32940686272 49411029408 80253330617 98822058816 160506661234 240759991851 321013322468 481519983702 642026644936 963039967404 1043293298021 1284053289872 1926079934808 2086586596042 2568106579744 3129879894063 3852159869616 4173173192084 5136213159488 6259759788126 7704319739232 8346346384168 12519519576252 15408639478464 16692692768336 25039039152504 33385385536672 50078078305008 66770771073344 100156156610016 200312313220032