Search a number
-
+
103577122053804 = 22371964897946149
BaseRepresentation
bin10111100011001111101101…
…100100010001111010101100
3111120201212122201112202222110
4113203033231210101322230
5102034001421221210204
61004142401210444020
730550125433001640
oct2743175544217254
9446655581482873
10103577122053804
11300038a11708a3
12b749b34733610
1345a4385909b79
141b81233792c20
15be942a630889
hex5e33ed911eac

103577122053804 has 48 divisors (see below), whose sum is σ = 290742798752000. Its totient is φ = 28035912735936.

The previous prime is 103577122053799. The next prime is 103577122053949. The reversal of 103577122053804 is 408350221775301.

It is a super-3 number, since 3×1035771220538043 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32448971479 + ... + 32448974670.

Almost surely, 2103577122053804 is an apocalyptic number.

103577122053804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103577122053804 is an abundant number, since it is smaller than the sum of its proper divisors (187165676698196).

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

103577122053804 is a wasteful number, since it uses less digits than its factorization.

103577122053804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64897946182 (or 64897946180 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 103577122053804 in words is "one hundred three trillion, five hundred seventy-seven billion, one hundred twenty-two million, fifty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 64897946149 129795892298 194693838447 259591784596 389387676894 454285623043 778775353788 908571246086 1233060976831 1362856869129 1817142492172 2466121953662 2725713738258 3699182930493 4932243907324 5451427476516 7398365860986 8631426837817 14796731721972 17262853675634 25894280513451 34525707351268 51788561026902 103577122053804