Search a number
-
+
13131032310 = 23751154583
BaseRepresentation
bin11000011101010101…
…11010011011110110
31020220010100120000000
430032222322123312
5203343021013220
610010551332130
7643253635014
oct141652723366
936803316000
1013131032310
115629141a20
122665681046
13131358c306
148c7d178b4
1551cbd6390
hex30eaba6f6

13131032310 has 128 divisors (see below), whose sum is σ = 38671672320. Its totient is φ = 3183222240.

The previous prime is 13131032303. The next prime is 13131032323. The reversal of 13131032310 is 1323013131.

It is a happy number.

13131032310 is a `hidden beast` number, since 1 + 31 + 310 + 323 + 1 + 0 = 666.

It is a super-2 number, since 2×131310323102 (a number of 21 digits) contains 22 as substring.

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, 213279 + ... + 267861.

It is an arithmetic number, because the mean of its divisors is an integer number (302122440).

Almost surely, 213131032310 is an apocalyptic number.

13131032310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131032310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19335836160).

13131032310 is an abundant number, since it is smaller than the sum of its proper divisors (25540640010).

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

13131032310 is an equidigital number, since it uses as much as digits as its factorization.

13131032310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54622 (or 54604 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131032310 its reverse (1323013131), we get a palindrome (14454045441).

The spelling of 13131032310 in words is "thirteen billion, one hundred thirty-one million, thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2187 2430 2673 2970 3645 4374 4455 5346 7290 8019 8910 10935 13365 16038 21870 24057 26730 40095 48114 54583 80190 109166 120285 163749 240570 272915 327498 491247 545830 600413 818745 982494 1200826 1473741 1637490 1801239 2456235 2947482 3002065 3602478 4421223 4912470 5403717 6004130 7368705 8842446 9006195 10807434 13263669 14737410 16211151 18012390 22106115 26527338 27018585 32422302 39791007 44212230 48633453 54037170 66318345 79582014 81055755 97266906 119373021 132636690 145900359 162111510 198955035 238746042 243167265 291800718 397910070 437701077 486334530 596865105 729501795 875402154 1193730210 1313103231 1459003590 2188505385 2626206462 4377010770 6565516155 13131032310