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4031052102 = 2337114720627
BaseRepresentation
bin1111000001000100…
…1111100101000110
3101101221010122221000
43300101033211012
531223422131402
61503555234130
7201615243330
oct36021174506
911357118830
104031052102
111789473120
12945ba8946
134c31a453c
142a3518450
15188d5ac1c
hexf044f946

4031052102 has 128 divisors (see below), whose sum is σ = 11406458880. Its totient is φ = 1024699680.

The previous prime is 4031052097. The next prime is 4031052127. The reversal of 4031052102 is 2012501304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185113 + ... + 205739.

It is an arithmetic number, because the mean of its divisors is an integer number (89112960).

Almost surely, 24031052102 is an apocalyptic number.

4031052102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4031052102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703229440).

4031052102 is an abundant number, since it is smaller than the sum of its proper divisors (7375406778).

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

4031052102 is a wasteful number, since it uses less digits than its factorization.

4031052102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20703 (or 20697 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4031052102 is about 63490.5670316465. The cubic root of 4031052102 is about 1591.4981465190.

Adding to 4031052102 its reverse (2012501304), we get a palindrome (6043553406).

The spelling of 4031052102 in words is "four billion, thirty-one million, fifty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 47 54 63 66 77 94 99 126 141 154 189 198 231 282 297 329 378 423 462 517 594 658 693 846 987 1034 1269 1386 1551 1974 2079 2538 2961 3102 3619 4158 4653 5922 7238 8883 9306 10857 13959 17766 20627 21714 27918 32571 41254 61881 65142 97713 123762 144389 185643 195426 226897 288778 371286 433167 453794 556929 680691 866334 969469 1113858 1299501 1361382 1588279 1938938 2042073 2599002 2908407 3176558 3898503 4084146 4764837 5816814 6126219 6786283 7797006 8725221 9529674 10664159 12252438 13572566 14294511 17450442 20358849 21328318 26175663 28589022 31992477 40717698 42883533 52351326 61076547 63984954 74649113 85767066 95977431 122153094 149298226 183229641 191954862 223947339 287932293 366459282 447894678 575864586 671842017 1343684034 2015526051 4031052102