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90122109 = 3711432211
BaseRepresentation
bin1010101111100…
…10011101111101
320021120200021220
411113302131331
5141032401414
612535343553
72143011450
oct527623575
9207520256
1090122109
1146965090
1226221bb9
13158956bc
14bd7d497
157da2ca9
hex55f277d

90122109 has 48 divisors (see below), whose sum is σ = 154105344. Its totient is φ = 45511200.

The previous prime is 90122099. The next prime is 90122113.

90122109 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90122109 - 212 = 90118013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90122129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427014 + ... + 427224.

It is an arithmetic number, because the mean of its divisors is an integer number (3210528).

Almost surely, 290122109 is an apocalyptic number.

It is an amenable number.

90122109 is a deficient number, since it is larger than the sum of its proper divisors (63983235).

90122109 is a wasteful number, since it uses less digits than its factorization.

90122109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 90122109 is about 9493.2665084259. The cubic root of 90122109 is about 448.3430570836.

The spelling of 90122109 in words is "ninety million, one hundred twenty-two thousand, one hundred nine".

Divisors: 1 3 7 11 21 33 43 77 129 211 231 301 473 633 903 1419 1477 1849 2321 3311 4431 5547 6963 9073 9933 12943 16247 20339 27219 38829 48741 61017 63511 99803 142373 190533 299409 390139 427119 698621 1170417 2095863 2730973 4291529 8192919 12874587 30040703 90122109