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122116545 = 3352367587
BaseRepresentation
bin1110100011101…
…01100111000001
322111210011102000
413101311213001
5222230212140
620041214213
73011654625
oct721654701
9274704360
10122116545
1162a27a71
1234a91369
131c3b8415
141230b185
15aac2a30
hex74759c1

122116545 has 64 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 61262784.

The previous prime is 122116543. The next prime is 122116601. The reversal of 122116545 is 545611221.

122116545 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 654 + 5 = 666.

It is not a de Polignac number, because 122116545 - 21 = 122116543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122116543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207742 + ... + 208328.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2122116545 is an apocalyptic number.

122116545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122116545 is a deficient number, since it is larger than the sum of its proper divisors (108191295).

122116545 is a wasteful number, since it uses less digits than its factorization.

122116545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 122116545 is about 11050.6355020877. The cubic root of 122116545 is about 496.1254465585.

Adding to 122116545 its reverse (545611221), we get a palindrome (667727766).

It can be divided in two parts, 1221 and 16545, that added together give a triangular number (17766 = T188).

The spelling of 122116545 in words is "one hundred twenty-two million, one hundred sixteen thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 67 69 115 135 201 207 335 345 587 603 621 1005 1035 1541 1761 1809 2935 3015 3105 4623 5283 7705 8805 9045 13501 13869 15849 23115 26415 39329 40503 41607 67505 69345 79245 117987 121509 196645 202515 208035 353961 364527 589935 607545 904567 1061883 1769805 1822635 2713701 4522835 5309415 8141103 13568505 24423309 40705515 122116545