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106024122274954 = 21323774317114077
BaseRepresentation
bin11000000110110110101010…
…001001010101010010001010
3111220101210210101011121120211
4120012312222021111102022
5102344044400300244304
61013254450453511334
731221663405461602
oct3006665211252212
9456353711147524
10106024122274954
1130867639a87854
12ba8422804254a
134721054c14600
141c27848589c02
15c3cde634d204
hex606daa25548a

106024122274954 has 48 divisors (see below), whose sum is σ = 176869054149048. Its totient is φ = 47610606041856.

The previous prime is 106024122274921. The next prime is 106024122275009. The reversal of 106024122274954 is 459472221420601.

It can be written as a sum of positive squares in 12 ways, for example, as 849765017929 + 105174357257025 = 921827^2 + 10255455^2 .

It is a super-2 number, since 2×1060241222749542 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106024122274898 and 106024122274907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929351364 + ... + 929465440.

Almost surely, 2106024122274954 is an apocalyptic number.

106024122274954 is a deficient number, since it is larger than the sum of its proper divisors (70844931874094).

106024122274954 is a wasteful number, since it uses less digits than its factorization.

106024122274954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188459 (or 188446 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 106024122274954 in words is "one hundred six trillion, twenty-four billion, one hundred twenty-two million, two hundred seventy-four thousand, nine hundred fifty-four".

Divisors: 1 2 13 26 37 74 169 338 481 962 6253 12506 74317 114077 148634 228154 966121 1483001 1932242 2749729 2966002 4220849 5499458 8441698 12559573 19279013 25119146 35746477 38558026 54871037 71492954 109742074 464704201 713323481 929408402 1426646962 8477860409 16955720818 110212185317 220424370634 313680835133 627361670266 1432758409121 2865516818242 4077850856729 8155701713458 53012061137477 106024122274954