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100011050516 = 221321374012693
BaseRepresentation
bin101110100100100011…
…1111000011000010100
3100120010221102202201002
41131021013320120110
53114310312104031
6113535555522432
710140236621516
oct1351107703024
9316127382632
10100011050516
11394616a3563
12174715b9418
13957abab500
144baa6d9bb6
1529051bdccb
hex17491f8614

100011050516 has 72 divisors (see below), whose sum is σ = 191448452664. Its totient is φ = 45690777600.

The previous prime is 100011050471. The next prime is 100011050527. The reversal of 100011050516 is 615050110001.

It can be written as a sum of positive squares in 12 ways, for example, as 18277958416 + 81733092100 = 135196^2 + 285890^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37136066 + ... + 37138758.

It is an arithmetic number, because the mean of its divisors is an integer number (2659006287).

Almost surely, 2100011050516 is an apocalyptic number.

It is an amenable number.

100011050516 is a deficient number, since it is larger than the sum of its proper divisors (91437402148).

100011050516 is a wasteful number, since it uses less digits than its factorization.

100011050516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 100011050516 its reverse (615050110001), we get a palindrome (715061160517).

The spelling of 100011050516 in words is "one hundred billion, eleven million, fifty thousand, five hundred sixteen".

Divisors: 1 2 4 13 26 52 137 169 274 338 401 548 676 802 1604 1781 2693 3562 5213 5386 7124 10426 10772 20852 23153 35009 46306 54937 67769 70018 92612 109874 135538 140036 219748 271076 368941 455117 714181 737882 910234 1079893 1428362 1475764 1820468 2159786 2856724 4319572 4796233 9284353 9592466 14038609 18568706 19184932 28077218 37137412 56154436 62351029 124702058 147945341 182501917 249404116 295890682 365003834 591781364 730007668 1923289433 3846578866 7693157732 25002762629 50005525258 100011050516