Search a number
-
+
105423010012520 = 23523331079363959
BaseRepresentation
bin10111111110000110110101…
…000100000001110101101000
3111211021100012211101202212122
4113332012311010001311220
5102304222311030400040
61012114355011530412
731130363315526134
oct2776066504016550
9454240184352778
10105423010012520
1130655713864002
12b9a78288b9a08
1346a9468a01b65
141c067026d43c4
15c2c463a261b5
hex5fe1b5101d68

105423010012520 has 64 divisors (see below), whose sum is σ = 238228125408000. Its totient is φ = 41986753919488.

The previous prime is 105423010012513. The next prime is 105423010012543. The reversal of 105423010012520 is 25210010324501.

It is a super-2 number, since 2×1054230100125202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105423010012520.

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 15 ways as a sum of consecutive naturals, for example, 289474301 + ... + 289838259.

It is an arithmetic number, because the mean of its divisors is an integer number (3722314459500).

Almost surely, 2105423010012520 is an apocalyptic number.

105423010012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105423010012520 is an abundant number, since it is smaller than the sum of its proper divisors (132805115395480).

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

105423010012520 is a wasteful number, since it uses less digits than its factorization.

105423010012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395282 (or 395278 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 105423010012520 in words is "one hundred five trillion, four hundred twenty-three billion, ten million, twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1864 2330 4660 9320 31079 62158 124316 155395 248632 310790 363959 621580 727918 1243160 1455836 1819795 2911672 3639590 7241407 7279180 14482814 14558360 28965628 36207035 57931256 72414070 84802447 144828140 169604894 289656280 339209788 424012235 678419576 848024470 1696048940 3392097880 11311481761 22622963522 45245927044 56557408805 90491854088 113114817610 226229635220 452459270440 2635575250313 5271150500626 10542301001252 13177876251565 21084602002504 26355752503130 52711505006260 105423010012520