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42386830101 = 3272112794341
BaseRepresentation
bin100111011110011100…
…111011001100010101
311001102000022001212100
4213132130323030111
51143302012030401
631250000512313
73030246053100
oct473634731425
9131360261770
1042386830101
1116a81295900
12826b31b699
133cc6709875
1420a159d737
15118130ab86
hex9de73b315

42386830101 has 54 divisors (see below), whose sum is σ = 78284787126. Its totient is φ = 22019104800.

The previous prime is 42386830049. The next prime is 42386830117. The reversal of 42386830101 is 10103868324.

It can be written as a sum of positive squares in only one way, i.e., 38917031076 + 3469799025 = 197274^2 + 58905^2 .

It is not a de Polignac number, because 42386830101 - 213 = 42386821909 is a prime.

It is a super-2 number, since 2×423868301012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42386830301) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 343810 + ... + 450531.

Almost surely, 242386830101 is an apocalyptic number.

It is an amenable number.

42386830101 is a deficient number, since it is larger than the sum of its proper divisors (35897957025).

42386830101 is a wasteful number, since it uses less digits than its factorization.

42386830101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794383 (or 794362 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42386830101 in words is "forty-two billion, three hundred eighty-six million, eight hundred thirty thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 53361 794341 2383023 5560387 7149069 8737751 16681161 26213253 38922709 50043483 61164257 78639759 96115261 116768127 183492771 288345783 350304381 428149799 550478313 672806827 865037349 1284449397 2018420481 3853348191 4709647789 6055261443 14128943367 42386830101