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122625230145 = 351110343116741
BaseRepresentation
bin111001000110100001…
…0001000010101000001
3102201111222000010020120
41302031002020111001
54002114024331040
6132155552130453
711600524154415
oct1621502102501
9381458003216
10122625230145
1148006822410
121b922b36a29
13b7430521a2
145d13c74d45
1532ca6bb7d0
hex1c8d088541

122625230145 has 64 divisors (see below), whose sum is σ = 216629157888. Its totient is φ = 58737312000.

The previous prime is 122625230141. The next prime is 122625230149. The reversal of 122625230145 is 541032526221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122625230141) and next prime (122625230149).

It is not a de Polignac number, because 122625230145 - 22 = 122625230141 is a prime.

It is a super-2 number, since 2×1226252301452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122625230141) 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 63 ways as a sum of consecutive naturals, for example, 7316475 + ... + 7333215.

It is an arithmetic number, because the mean of its divisors is an integer number (3384830592).

Almost surely, 2122625230145 is an apocalyptic number.

122625230145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122625230145 is a deficient number, since it is larger than the sum of its proper divisors (94003927743).

122625230145 is a wasteful number, since it uses less digits than its factorization.

122625230145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17294.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 122625230145 its reverse (541032526221), we get a palindrome (663657756366).

The spelling of 122625230145 in words is "one hundred twenty-two billion, six hundred twenty-five million, two hundred thirty thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 103 165 309 431 515 1133 1293 1545 2155 3399 4741 5665 6465 14223 16741 16995 23705 44393 50223 71115 83705 133179 184151 221965 251115 488323 552453 665895 920755 1464969 1724323 2441615 2762265 5172969 7215371 7324845 8621615 18967553 21646113 25864845 36076855 56902659 79369081 94837765 108230565 238107243 284513295 396845405 743183213 1190536215 2229549639 3715916065 8175015343 11147748195 24525046029 40875076715 122625230145