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202000003312 = 241716322720071
BaseRepresentation
bin1011110000100000100…
…0110111000011110000
3201022101201122101021011
42330020020313003300
511302144000101222
6232444133040304
720410514461312
oct2741010670360
9638351571234
10202000003312
11787388102a8
1233195486094
1316082797ba3
149ac397b7b2
1553c3d37c77
hex2f082370f0

202000003312 has 80 divisors (see below), whose sum is σ = 418796980992. Its totient is φ = 94054763520.

The previous prime is 202000003259. The next prime is 202000003339. The reversal of 202000003312 is 213300000202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202000003292 and 202000003301.

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, 10054237 + ... + 10074307.

Almost surely, 2202000003312 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 202000003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209398490496).

202000003312 is an abundant number, since it is smaller than the sum of its proper divisors (216796977680).

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

202000003312 is a wasteful number, since it uses less digits than its factorization.

202000003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20486 (or 20480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 202000003312 its reverse (213300000202), we get a palindrome (415300003514).

The spelling of 202000003312 in words is "two hundred two billion, three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 163 227 272 326 454 652 908 1304 1816 2608 2771 3632 3859 5542 7718 11084 15436 20071 22168 30872 37001 40142 44336 61744 74002 80284 148004 160568 296008 321136 341207 592016 629017 682414 1258034 1364828 2516068 2729656 3271573 4556117 5032136 5459312 6543146 9112234 10064272 13086292 18224468 26172584 36448936 52345168 55616741 72897872 77453989 111233482 154907978 222466964 309815956 444933928 619631912 742647071 889867856 1239263824 1485294142 2970588284 5941176568 11882353136 12625000207 25250000414 50500000828 101000001656 202000003312