Search a number
-
+
32113132412130 = 23257112421266331
BaseRepresentation
bin1110100110100111010111…
…10110011001110011100010
311012200222121102010121110100
413103103223312121303202
513202120143344142010
6152144322552243230
76523045233465510
oct723235366316342
9135628542117410
1032113132412130
11a261115071600
1237278a70a0516
1314bc342136403
147d03d90534b0
153aa509d9b2c0
hex1d34ebd99ce2

32113132412130 has 144 divisors (see below), whose sum is σ = 104885206276032. Its totient is φ = 6672858667200.

The previous prime is 32113132412057. The next prime is 32113132412147. The reversal of 32113132412130 is 3121423131123.

32113132412130 is a `hidden beast` number, since 3 + 2 + 113 + 1 + 3 + 2 + 412 + 130 = 666.

It is a super-2 number, since 2×321131324121302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32113132412094 and 32113132412103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210556936 + ... + 210709395.

It is an arithmetic number, because the mean of its divisors is an integer number (728369488028).

Almost surely, 232113132412130 is an apocalyptic number.

32113132412130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32113132412130 is an abundant number, since it is smaller than the sum of its proper divisors (72772073863902).

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

32113132412130 is a wasteful number, since it uses less digits than its factorization.

32113132412130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421266373 (or 421266359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 32113132412130 its reverse (3121423131123), we get a palindrome (35234555543253).

The spelling of 32113132412130 in words is "thirty-two trillion, one hundred thirteen billion, one hundred thirty-two million, four hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 770 847 990 1089 1155 1210 1386 1694 1815 2178 2310 2541 3465 3630 4235 5082 5445 6930 7623 8470 10890 12705 15246 25410 38115 76230 421266331 842532662 1263798993 2106331655 2527597986 2948864317 3791396979 4212663310 4633929641 5897728634 6318994965 7582793958 8846592951 9267859282 12637989930 13901788923 14744321585 17693185902 18956984895 23169648205 26539778853 27803577846 29488643170 32437507487 37913969790 41705366769 44232964755 46339296410 50973226051 53079557706 64875014974 69508944615 83410733538 88465929510 97312522461 101946452102 132698894265 139017889230 152919678153 162187537435 194625044922 208526833845 254866130255 265397788530 291937567383 305839356306 324375074870 356812582357 417053667690 458759034459 486562612305 509732260510 583875134766 713625164714 764598390765 917518068918 973125224610 1070437747071 1459687836915 1529196781530 1784062911785 2140875494142 2293795172295 2919375673830 3211313241213 3568125823570 4587590344590 5352188735355 6422626482426 10704377470710 16056566206065 32113132412130