Search a number
-
+
105160247303244 = 223789121131161263
BaseRepresentation
bin10111111010010010000111…
…001011110101110001001100
3111210100012222110000002222020
4113322102013023311301030
5102240421141302200434
61011353541203050140
731102401650411340
oct2772220713656114
9453305873002866
10105160247303244
1130564235098441
12b964916070950
13468a751783bb3
141bd7ad6c85620
15c256d552d849
hex5fa4872f5c4c

105160247303244 has 96 divisors (see below), whose sum is σ = 283601850255360. Its totient is φ = 29705713686528.

The previous prime is 105160247303239. The next prime is 105160247303261. The reversal of 105160247303244 is 442303742061501.

It is a super-2 number, since 2×1051602473032442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 105160247303196 and 105160247303205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89976157 + ... + 91137419.

It is an arithmetic number, because the mean of its divisors is an integer number (2954185940160).

Almost surely, 2105160247303244 is an apocalyptic number.

105160247303244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105160247303244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141800925127680).

105160247303244 is an abundant number, since it is smaller than the sum of its proper divisors (178441602952116).

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

105160247303244 is a wasteful number, since it uses less digits than its factorization.

105160247303244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173479 (or 1173477 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 105160247303244 its reverse (442303742061501), we get a palindrome (547463989364745).

The spelling of 105160247303244 in words is "one hundred five trillion, one hundred sixty billion, two hundred forty-seven million, three hundred three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 12113 24226 36339 48452 72678 84791 145356 169582 254373 339164 508746 1017492 1078057 1161263 2156114 2322526 3234171 3483789 4312228 4645052 6468342 6967578 7546399 8128841 12936684 13935156 15092798 16257682 22639197 24386523 30185596 32515364 45278394 48773046 90556788 97546092 103352407 206704814 310057221 413409628 620114442 723466849 1240228884 1446933698 2170400547 2893867396 4340801094 8681602188 14066378719 28132757438 42199136157 56265514876 84398272314 98464651033 168796544628 196929302066 295393953099 393858604132 590787906198 1181575812396 1251907705991 2503815411982 3755723117973 5007630823964 7511446235946 8763353941937 15022892471892 17526707883874 26290061825811 35053415767748 52580123651622 105160247303244