Search a number
-
+
2132032123032 = 233717746509847
BaseRepresentation
bin11111000001100111000…
…001000111000010011000
321112211010222120122022220
4133001213001013002120
5234412400210414112
64311235251344040
7310014513014250
oct37014701070230
97484128518286
102132032123032
1175220a608039
122a52512b2020
1312608544c666
1475295bb6960
153a6d444b98c
hex1f067047098

2132032123032 has 64 divisors (see below), whose sum is σ = 6449845086720. Its totient is φ = 573319561728.

The previous prime is 2132032123009. The next prime is 2132032123033. The reversal of 2132032123032 is 2303212302312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2132032122993 and 2132032123011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132032123033) 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, 373252068 + ... + 373257779.

It is an arithmetic number, because the mean of its divisors is an integer number (100778829480).

Almost surely, 22132032123032 is an apocalyptic number.

It is an amenable number.

2132032123032 is an abundant number, since it is smaller than the sum of its proper divisors (4317812963688).

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

2132032123032 is a wasteful number, since it uses less digits than its factorization.

2132032123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746509880 (or 746509876 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2132032123032 its reverse (2303212302312), we get a palindrome (4435244425344).

The spelling of 2132032123032 in words is "two trillion, one hundred thirty-two billion, thirty-two million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 746509847 1493019694 2239529541 2986039388 4479059082 5225568929 5972078776 8958118164 10451137858 12690667399 15676706787 17916236328 20902275716 25381334798 31353413574 38072002197 41804551432 50762669596 62706827148 76144004394 88834671793 101525339192 125413654296 152288008788 177669343586 266504015379 304576017576 355338687172 533008030758 710677374344 1066016061516 2132032123032