Search a number
-
+
122135340 = 223510319763
BaseRepresentation
bin1110100011110…
…10001100101100
322111211010012010
413101322030230
5222231312330
620041441220
73012063465
oct721721454
9274733163
10122135340
1162a400a8
1234aa0210
131c3c3b42
1412313d6c
15aac83b0
hex747a32c

122135340 has 48 divisors (see below), whose sum is σ = 345316608. Its totient is φ = 32251584.

The previous prime is 122135339. The next prime is 122135341. The reversal of 122135340 is 43531221.

It is an interprime number because it is at equal distance from previous prime (122135339) and next prime (122135341).

It is not an unprimeable number, because it can be changed into a prime (122135341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3702 + ... + 16061.

It is an arithmetic number, because the mean of its divisors is an integer number (7194096).

Almost surely, 2122135340 is an apocalyptic number.

122135340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122135340 is an abundant number, since it is smaller than the sum of its proper divisors (223181268).

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

122135340 is a wasteful number, since it uses less digits than its factorization.

122135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19878 (or 19876 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 122135340 is about 11051.4858729494. The cubic root of 122135340 is about 496.1508981996.

Adding to 122135340 its reverse (43531221), we get a palindrome (165666561).

The spelling of 122135340 in words is "one hundred twenty-two million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 19763 39526 59289 79052 98815 118578 197630 237156 296445 395260 592890 1185780 2035589 4071178 6106767 8142356 10177945 12213534 20355890 24427068 30533835 40711780 61067670 122135340