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122145044 = 2273127701
BaseRepresentation
bin1110100011111…
…00100100010100
322111211121111112
413101330210110
5222232120134
620041554152
73012134000
oct721744424
9274747445
10122145044
1162a4741a
1234aa5958
131c3c8398
1412317700
15aacb1ce
hex747c914

122145044 has 48 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 51861600.

The previous prime is 122145043. The next prime is 122145047. The reversal of 122145044 is 440541221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122145043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173894 + ... + 174594.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2122145044 is an apocalyptic number.

122145044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122145044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

122145044 is an abundant number, since it is smaller than the sum of its proper divisors (129451756).

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

122145044 is a wasteful number, since it uses less digits than its factorization.

122145044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 122145044 is about 11051.9249002153. The cubic root of 122145044 is about 496.1640380514.

Adding to 122145044 its reverse (440541221), we get a palindrome (562686265).

The spelling of 122145044 in words is "one hundred twenty-two million, one hundred forty-five thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 343 508 686 701 889 1372 1402 1778 2804 3556 4907 6223 9814 12446 19628 24892 34349 43561 68698 87122 89027 137396 174244 178054 240443 356108 480886 623189 961772 1246378 2492756 4362323 8724646 17449292 30536261 61072522 122145044