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100145050542 = 23317598322277
BaseRepresentation
bin101110101000100011…
…1000011001110101110
3100120111021120200012000
41131101013003032232
53120044113104132
6114001143553130
710143454612245
oct1352107031656
9316437520160
10100145050542
11395202a7789
12174aa45b7a6
13959c897874
144bc041b95c
152911d3c87c
hex17511c33ae

100145050542 has 128 divisors (see below), whose sum is σ = 242527219200. Its totient is φ = 30512060928.

The previous prime is 100145050541. The next prime is 100145050547. The reversal of 100145050542 is 245050541001.

100145050542 is a `hidden beast` number, since 10 + 0 + 14 + 50 + 50 + 542 = 666.

It is a super-2 number, since 2×1001450505422 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100145050541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4484308 + ... + 4506584.

It is an arithmetic number, because the mean of its divisors is an integer number (1894743900).

Almost surely, 2100145050542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100145050542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121263609600).

100145050542 is an abundant number, since it is smaller than the sum of its proper divisors (142382168658).

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

100145050542 is a wasteful number, since it uses less digits than its factorization.

100145050542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22447 (or 22441 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 100145050542 its reverse (245050541001), we get a palindrome (345195591543).

The spelling of 100145050542 in words is "one hundred billion, one hundred forty-five million, fifty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 83 102 118 153 166 177 249 306 354 459 498 531 747 918 1003 1062 1411 1494 1593 2006 2241 2822 3009 3186 4233 4482 4897 6018 8466 9027 9794 12699 14691 18054 22277 25398 27081 29382 38097 44073 44554 54162 66831 76194 83249 88146 132219 133662 166498 200493 249747 264438 378709 400986 499494 601479 749241 757418 1136127 1202958 1314343 1498482 1848991 2247723 2272254 2628686 3408381 3697982 3943029 4495446 5546973 6816762 7886058 10225143 11093946 11829087 16640919 20450286 22343831 23658174 31432847 33281838 35487261 44687662 49922757 62865694 67031493 70974522 94298541 99845514 109090469 134062986 188597082 201094479 218180938 282895623 327271407 402188958 565791246 603283437 654542814 848686869 981814221 1206566874 1697373738 1854537973 1963628442 2945442663 3709075946 5563613919 5890885326 11127227838 16690841757 33381683514 50072525271 100145050542