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115141322010 = 2351113247310853
BaseRepresentation
bin110101100111011110…
…1010010010100011010
3102000012101201012021210
41223032331102110122
53341302134301020
6124521210043550
711214211042311
oct1531675222432
9360171635253
10115141322010
1144916302470
121a3947195b6
13ab1c709790
145803d51278
152edd6673e0
hex1acef5251a

115141322010 has 128 divisors (see below), whose sum is σ = 324811420416. Its totient is φ = 25753098240.

The previous prime is 115141321957. The next prime is 115141322053. The reversal of 115141322010 is 10223141511.

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, 10603744 + ... + 10614596.

It is an arithmetic number, because the mean of its divisors is an integer number (2537589222).

Almost surely, 2115141322010 is an apocalyptic number.

115141322010 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 115141322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162405710208).

115141322010 is an abundant number, since it is smaller than the sum of its proper divisors (209670098406).

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

115141322010 is a wasteful number, since it uses less digits than its factorization.

115141322010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 115141322010 its reverse (10223141511), we get a palindrome (125364463521).

The spelling of 115141322010 in words is "one hundred fifteen billion, one hundred forty-one million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 2473 4290 4946 7419 10853 12365 14838 21706 24730 27203 32149 32559 37095 54265 54406 64298 65118 74190 81609 96447 108530 119383 136015 141089 160745 162795 163218 192894 238766 272030 282178 321490 325590 353639 358149 408045 423267 482235 596915 705445 707278 716298 816090 846534 964470 1060917 1193830 1410890 1551979 1768195 1790745 2116335 2121834 3103958 3536390 3581490 4232670 4655937 5304585 7759895 9311874 10609170 15519790 23279685 26839469 46559370 53678938 80518407 134197345 161036814 268394690 295234159 348913097 402592035 590468318 697826194 805184070 885702477 1046739291 1476170795 1744565485 1771404954 2093478582 2952341590 3489130970 3838044067 4428512385 5233696455 7676088134 8857024770 10467392910 11514132201 19190220335 23028264402 38380440670 57570661005 115141322010