Search a number
-
+
202120320032 = 25295335911447
BaseRepresentation
bin1011110000111101001…
…1110101010000100000
3201022201010001002202222
42330033103311100200
511302420300220112
6232504111530212
720413505242031
oct2741723652040
9638633032688
10202120320032
117879a719004
1233209829968
13160a16a3007
149ad593aa88
1553ce6a2372
hex2f0f4f5420

202120320032 has 96 divisors (see below), whose sum is σ = 420617836800. Its totient is φ = 95459273728.

The previous prime is 202120320019. The next prime is 202120320043. The reversal of 202120320032 is 230023021202.

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, 17651333 + ... + 17662779.

It is an arithmetic number, because the mean of its divisors is an integer number (4381435800).

Almost surely, 2202120320032 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 202120320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210308918400).

202120320032 is an abundant number, since it is smaller than the sum of its proper divisors (218497516768).

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

202120320032 is a wasteful number, since it uses less digits than its factorization.

202120320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11898 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 202120320032 its reverse (230023021202), we get a palindrome (432143341234).

The spelling of 202120320032 in words is "two hundred two billion, one hundred twenty million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 232 359 424 464 718 848 928 1436 1537 1696 2872 3074 5744 6148 10411 11447 11488 12296 19027 20822 22894 24592 38054 41644 45788 49184 76108 83288 91576 152216 166576 183152 304432 331963 333152 366304 551783 606691 608864 663926 1103566 1213382 1327852 2207132 2426764 2655704 4109473 4414264 4853528 5311408 8218946 8828528 9707056 10622816 16437892 17594039 17657056 19414112 32875784 35188078 65751568 70376156 119174717 131503136 140752312 217802069 238349434 281504624 435604138 476698868 563009248 871208276 953397736 1742416552 1906795472 3484833104 3813590944 6316260001 6969666208 12632520002 25265040004 50530080008 101060160016 202120320032