Search a number
-
+
131020211112120 = 23345113676212433
BaseRepresentation
bin11101110010100110000101…
…001001000100100010111000
3122011220102001210012120220000
4131302212011021010202320
5114133113343021041440
61142353504250433000
736411616654112601
oct3562460511044270
9564812053176800
10131020211112120
11388243a5534870
1212840717732760
1358151caba3765
14244d5aa962da8
15102320a37c730
hex7729852448b8

131020211112120 has 160 divisors (see below), whose sum is σ = 480407440875120. Its totient is φ = 31762475412480.

The previous prime is 131020211112047. The next prime is 131020211112143. The reversal of 131020211112120 is 21211112020131.

It is a happy number.

131020211112120 is a `hidden beast` number, since 1 + 310 + 2 + 0 + 211 + 1 + 121 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131020211112093 and 131020211112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1838070577 + ... + 1838141856.

Almost surely, 2131020211112120 is an apocalyptic number.

131020211112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020211112120 is an abundant number, since it is smaller than the sum of its proper divisors (349387229763000).

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

131020211112120 is a wasteful number, since it uses less digits than its factorization.

131020211112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676212467 (or 3676212454 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 131020211112120 its reverse (21211112020131), we get a palindrome (152231323132251).

The spelling of 131020211112120 in words is "one hundred thirty-one trillion, twenty billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 3676212433 7352424866 11028637299 14704849732 18381062165 22057274598 29409699464 33085911897 36762124330 40438336763 44114549196 55143186495 66171823794 73524248660 80876673526 88229098392 99257735691 110286372990 121315010289 132343647588 147048497320 161753347052 165429559485 198515471382 202191683815 220572745980 242630020578 264687295176 297773207073 323506694104 330859118970 363945030867 397030942764 404383367630 441145491960 485260041156 496288678455 595546414146 606575051445 661718237940 727890061734 794061885528 808766735260 970520082312 992577356910 1091835092601 1191092828292 1213150102890 1323436475880 1455780123468 1488866035365 1617533470520 1819725154335 1985154713820 2183670185202 2382185656584 2426300205780 2911560246936 2977732070730 3275505277803 3639450308670 3970309427640 4367340370404 4852600411560 5459175463005 5955464141460 6551010555606 7278900617340 8734680740808 10918350926010 11910928282920 13102021111212 14557801234680 16377526389015 21836701852020 26204042222424 32755052778030 43673403704040 65510105556060 131020211112120