Search a number
-
+
13120022301210 = 23251137358176967
BaseRepresentation
bin1011111011101011111001…
…0001001100101000011010
31201110021001220122011021200
42332322332101030220122
53204424301202114320
643523131031015030
72522614245336036
oct276727621145032
951407056564250
1013120022301210
1141a9196607070
12157a8b8b0a476
1374229c680466
143350262d51c6
1517b436595290
hexbeebe44ca1a

13120022301210 has 96 divisors (see below), whose sum is σ = 38218915193472. Its totient is φ = 3094648986240.

The previous prime is 13120022301193. The next prime is 13120022301289. The reversal of 13120022301210 is 1210322002131.

13120022301210 is a `hidden beast` number, since 1 + 31 + 200 + 223 + 0 + 1 + 210 = 666.

It is a super-3 number, since 3×131200223012103 (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179051854 + ... + 179125113.

It is an arithmetic number, because the mean of its divisors is an integer number (398113699932).

Almost surely, 213120022301210 is an apocalyptic number.

13120022301210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13120022301210 is an abundant number, since it is smaller than the sum of its proper divisors (25098892892262).

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

13120022301210 is a wasteful number, since it uses less digits than its factorization.

13120022301210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358177028 (or 358177025 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13120022301210 its reverse (1210322002131), we get a palindrome (14330344303341).

The spelling of 13120022301210 in words is "thirteen trillion, one hundred twenty billion, twenty-two million, three hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 358176967 716353934 1074530901 1790884835 2149061802 3223592703 3581769670 3939946637 5372654505 6447185406 7879893274 10745309010 11819839911 13252547779 16117963515 19699733185 23639679822 26505095558 32235927030 35459519733 39399466370 39757643337 59099199555 66262738895 70919039466 79515286674 118198399110 119272930011 132525477790 145778025569 177297598665 198788216685 238545860022 291556051138 354595197330 397576433370 437334076707 596364650055 728890127845 874668153414 1192729300110 1312002230121 1457780255690 2186670383535 2624004460242 4373340767070 6560011150605 13120022301210