Search a number
-
+
132022201205430 = 23258091813242703
BaseRepresentation
bin11110000001001011010000…
…011001111100001010110110
3122022110012101012100020011200
4132001023100121330022312
5114301022432002033210
61144442054551513330
736544201135303134
oct3601132031741266
9568405335306150
10132022201205430
1139080334850278
1212982954088846
1358888425583b3
142485ca1406754
15103e30169b0c0
hex7812d067c2b6

132022201205430 has 48 divisors (see below), whose sum is σ = 343682022116160. Its totient is φ = 35162402477184.

The previous prime is 132022201205339. The next prime is 132022201205533. The reversal of 132022201205430 is 34502102220231.

132022201205430 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 2 + 20 + 1 + 205 + 430 = 666.

It is a super-2 number, since 2×1320222012054302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132022201205394 and 132022201205403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906548542 + ... + 906694161.

It is an arithmetic number, because the mean of its divisors is an integer number (7160042127420).

Almost surely, 2132022201205430 is an apocalyptic number.

132022201205430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132022201205430 is an abundant number, since it is smaller than the sum of its proper divisors (211659820910730).

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

132022201205430 is a wasteful number, since it uses less digits than its factorization.

132022201205430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813243525 (or 1813243522 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 132022201205430 its reverse (34502102220231), we get a palindrome (166524303425661).

The spelling of 132022201205430 in words is "one hundred thirty-two trillion, twenty-two billion, two hundred one million, two hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 809 1618 2427 4045 4854 7281 8090 12135 14562 24270 36405 72810 1813242703 3626485406 5439728109 9066213515 10879456218 16319184327 18132427030 27198640545 32638368654 54397281090 81595921635 163191843270 1466913346727 2933826693454 4400740040181 7334566733635 8801480080362 13202220120543 14669133467270 22003700200905 26404440241086 44007400401810 66011100602715 132022201205430