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202001321312 = 25723107366433
BaseRepresentation
bin1011110000100000110…
…1111000110101100000
3201022101211010100012222
42330020031320311200
511302144314240222
6232444221210212
720410531621010
oct2741015706540
9638354110188
10202001321312
117873953055a
1233195a00968
1316082b39a7b
149ac3c01c40
1553c3ee8542
hex2f08378d60

202001321312 has 96 divisors (see below), whose sum is σ = 478697651712. Its totient is φ = 82033864704.

The previous prime is 202001321311. The next prime is 202001321351. The reversal of 202001321312 is 213123100202.

202001321312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001321311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 368048 + ... + 734480.

It is an arithmetic number, because the mean of its divisors is an integer number (4986433872).

Almost surely, 2202001321312 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 202001321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239348825856).

202001321312 is an abundant number, since it is smaller than the sum of its proper divisors (276696330400).

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

202001321312 is a wasteful number, since it uses less digits than its factorization.

202001321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366580 (or 366572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 202001321312 its reverse (213123100202), we get a palindrome (415124421514).

The spelling of 202001321312 in words is "two hundred two billion, one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 107 112 161 184 214 224 322 368 428 644 736 749 856 1288 1498 1712 2461 2576 2996 3424 4922 5152 5992 9844 11984 17227 19688 23968 34454 39376 68908 78752 137816 275632 366433 551264 732866 1465732 2565031 2931464 5130062 5862928 8427959 10260124 11725856 16855918 20520248 33711836 39208331 41040496 58995713 67423672 78416662 82080992 117991426 134847344 156833324 235982852 269694688 274458317 313666648 471965704 548916634 627333296 901791613 943931408 1097833268 1254666592 1803583226 1887862816 2195666536 3607166452 4391333072 6312541291 7214332904 8782666144 12625082582 14428665808 25250165164 28857331616 50500330328 101000660656 202001321312