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10201031445 = 3511229241163
BaseRepresentation
bin10011000000000011…
…10110001100010101
3222022221001002102110
421200001312030111
5131342431001240
64404123301233
7510535223313
oct114001661425
928287032373
1010201031445
114365241a00
121b8837a819
13c675460a7
146cab330b3
153ea86cc80
hex260076315

10201031445 has 144 divisors (see below), whose sum is σ = 19150238016. Its totient is φ = 4630348800.

The previous prime is 10201031377. The next prime is 10201031447. The reversal of 10201031445 is 54413010201.

It is not a de Polignac number, because 10201031445 - 28 = 10201031189 is a prime.

It is a super-3 number, since 3×102010314453 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201031447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62582934 + ... + 62583096.

It is an arithmetic number, because the mean of its divisors is an integer number (132987764).

Almost surely, 210201031445 is an apocalyptic number.

10201031445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10201031445 is a deficient number, since it is larger than the sum of its proper divisors (8949206571).

10201031445 is a wasteful number, since it uses less digits than its factorization.

10201031445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10201031445 its reverse (54413010201), we get a palindrome (64614041646).

The spelling of 10201031445 in words is "ten billion, two hundred one million, thirty-one thousand, four hundred forty-five".

Divisors: 1 3 5 11 15 29 33 41 55 87 121 123 145 163 165 205 319 363 435 451 489 605 615 815 841 957 1189 1353 1595 1793 1815 2255 2445 2523 3509 3567 4205 4727 4785 4961 5379 5945 6683 6765 8965 9251 10527 12615 13079 14181 14883 17545 17835 19723 20049 23635 24805 26895 27753 33415 34481 39237 46255 51997 52635 59169 65395 70905 73513 74415 98615 100245 101761 103443 137083 138765 143869 155991 172405 193807 196185 220539 259985 295845 305283 367565 379291 411249 431607 508805 517215 571967 581421 685415 719345 779955 808643 969035 1102695 1137873 1507913 1526415 1715901 1896455 2056245 2131877 2158035 2425929 2859835 2907105 4043215 4172201 4523739 5620403 5689365 6395631 7539565 8579505 10659385 12129645 12516603 16587043 16861209 20861005 22618695 23450647 28102015 31978155 49761129 61824433 62583015 70351941 82935215 84306045 117253235 185473299 248805645 309122165 351759705 680068763 927366495 2040206289 3400343815 10201031445