Search a number
-
+
10120211101110 = 2351129236465287
BaseRepresentation
bin1001001101000100101110…
…0101100111010110110110
31022211111000220121220121110
42103101023211213112312
52311302143020213420
633305054422055450
72063106160010655
oct223211345472666
938744026556543
1010120211101110
113251a59373570
12117544627a586
13585440cb5996
1426db6c50719c
151283b36e6ee0
hex9344b9675b6

10120211101110 has 96 divisors (see below), whose sum is σ = 27441733692672. Its totient is φ = 2368784978560.

The previous prime is 10120211101073. The next prime is 10120211101123. The reversal of 10120211101110 is 1110111202101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17955114 + ... + 18510173.

It is an arithmetic number, because the mean of its divisors is an integer number (285851392632).

Almost surely, 210120211101110 is an apocalyptic number.

10120211101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120211101110 is an abundant number, since it is smaller than the sum of its proper divisors (17321522591562).

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

10120211101110 is a wasteful number, since it uses less digits than its factorization.

10120211101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36465366 (or 36465337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10120211101110 its reverse (1110111202101), we get a palindrome (11230322303211).

The spelling of 10120211101110 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 841 870 957 1595 1682 1914 2523 3190 4205 4785 5046 8410 9251 9570 12615 18502 25230 27753 46255 55506 92510 138765 277530 36465287 72930574 109395861 182326435 218791722 364652870 401118157 546979305 802236314 1057493323 1093958610 1203354471 2005590785 2114986646 2406708942 3172479969 4011181570 5287466615 6016772355 6344959938 10574933230 11632426553 12033544710 15862399845 23264853106 30667306367 31724799690 34897279659 58162132765 61334612734 69794559318 92001919101 116324265530 153336531835 174486398295 184003838202 306673063670 337340370037 348972796590 460009595505 674680740074 920019191010 1012021110111 1686701850185 2024042220222 3373403700370 5060105550555 10120211101110