Search a number
-
+
1020100200119 = 721113477939209
BaseRepresentation
bin11101101100000101011…
…01011100011010110111
310121112001112111101110022
432312002231130122313
5113203131122400434
62100343315315355
7133462014430400
oct16660255343267
93545045441408
101020100200119
11363692a72830
121458515abb5b
137526c657090
1437531b729a7
151b8061c622e
hexed82b5c6b7

1020100200119 has 96 divisors (see below), whose sum is σ = 1441823846400. Its totient is φ = 709018652160.

The previous prime is 1020100200113. The next prime is 1020100200137. The reversal of 1020100200119 is 9110020010201.

It is not a de Polignac number, because 1020100200119 - 28 = 1020100199863 is a prime.

It is a super-2 number, since 2×10201002001192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020100200097 and 1020100200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100200113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25997387 + ... + 26036595.

It is an arithmetic number, because the mean of its divisors is an integer number (15018998400).

Almost surely, 21020100200119 is an apocalyptic number.

1020100200119 is a deficient number, since it is larger than the sum of its proper divisors (421723646281).

1020100200119 is a wasteful number, since it uses less digits than its factorization.

1020100200119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39373 (or 39366 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 1020100200119 in words is "one trillion, twenty billion, one hundred million, two hundred thousand, one hundred nineteen".

Divisors: 1 7 11 13 47 49 77 79 91 143 329 517 539 553 611 637 869 1001 1027 2303 3619 3713 3871 4277 6083 6721 7007 7189 11297 25333 25991 29939 39209 40843 42581 47047 48269 50323 79079 181937 274463 285901 329329 337883 431299 509717 530959 553553 1842823 1921241 2001307 2365181 3019093 3097511 3568019 3716713 5606887 12899761 20271053 21133651 21682577 23956699 24976133 26016991 34072621 39248209 40267643 90298327 141897371 145583017 151778039 167696893 238508347 263523689 274737463 281873501 442944073 993281597 1019081119 1173878251 1601413187 1669558429 1844665823 1892579221 1973114507 3100608511 7133567833 11209892309 12912660761 13248054547 20818371431 21704259577 78469246163 92736381829 145728600017 1020100200119