Search a number
-
+
202120311132 = 223244312673709
BaseRepresentation
bin1011110000111101001…
…1110011000101011100
3201022201010000122120100
42330033103303011130
511302420244424012
6232504111421100
720413505204055
oct2741723630534
9638633018510
10202120311132
117879a712353
1233209824790
13160a169bc4c
149ad593772c
1553ce69e8dc
hex2f0f4f315c

202120311132 has 36 divisors (see below), whose sum is σ = 512068578840. Its totient is φ = 67221347232.

The previous prime is 202120311091. The next prime is 202120311137. The reversal of 202120311132 is 231113021202.

202120311132 is a `hidden beast` number, since 202 + 1 + 20 + 311 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120311137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6320907 + ... + 6352802.

It is an arithmetic number, because the mean of its divisors is an integer number (14224127190).

Almost surely, 2202120311132 is an apocalyptic number.

It is an amenable number.

202120311132 is an abundant number, since it is smaller than the sum of its proper divisors (309948267708).

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

202120311132 is a wasteful number, since it uses less digits than its factorization.

202120311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12674162 (or 12674157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202120311132 its reverse (231113021202), we get a palindrome (433233332334).

The spelling of 202120311132 in words is "two hundred two billion, one hundred twenty million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 443 886 1329 1772 2658 3987 5316 7974 15948 12673709 25347418 38021127 50694836 76042254 114063381 152084508 228126762 456253524 5614453087 11228906174 16843359261 22457812348 33686718522 50530077783 67373437044 101060155566 202120311132