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202323013112 = 231123833073923
BaseRepresentation
bin1011110001101101100…
…1000010110111111000
3201100020020102222102002
42330123121002313320
511303324142404422
6232540152200132
720421516143663
oct2743331026770
9640206388362
10202323013112
1178894080350
1233265699048
131610469104c
149b148206da
1553e238e692
hex2f1b642df8

202323013112 has 128 divisors (see below), whose sum is σ = 438573864960. Its totient is φ = 86601525120.

The previous prime is 202323013111. The next prime is 202323013169. The reversal of 202323013112 is 211310323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202323013111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51571583 + ... + 51575505.

It is an arithmetic number, because the mean of its divisors is an integer number (3426358320).

Almost surely, 2202323013112 is an apocalyptic number.

202323013112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202323013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219286932480).

202323013112 is an abundant number, since it is smaller than the sum of its proper divisors (236250851848).

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

202323013112 is a wasteful number, since it uses less digits than its factorization.

202323013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 202323013112 its reverse (211310323202), we get a palindrome (413633336314).

The spelling of 202323013112 in words is "two hundred two billion, three hundred twenty-three million, thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 83 88 92 166 184 253 307 332 506 614 664 913 1012 1228 1826 1909 2024 2456 3377 3652 3818 3923 6754 7061 7304 7636 7846 13508 14122 15272 15692 20999 25481 27016 28244 31384 41998 43153 50962 56488 77671 83996 86306 90229 101924 155342 167992 172612 180458 203848 280291 310684 325609 345224 360916 560582 586063 621368 651218 721832 992519 1121164 1172126 1204361 1302436 1985038 2242328 2344252 2408722 2604872 3581699 3970076 4688504 4817444 6446693 7163398 7489007 7940152 9634888 12893386 13247971 14326796 14978014 25786772 26495942 27700303 28653592 29956028 51573544 52991884 55400606 59912056 82379077 99961963 105983768 110801212 164758154 199923926 221602424 304703333 329516308 399847852 609406666 659032616 799695704 1099581593 1218813332 2199163186 2299125149 2437626664 4398326372 4598250298 8796652744 9196500596 18393001192 25290376639 50580753278 101161506556 202323013112