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130210113330054 = 236223677591553
BaseRepresentation
bin11101100110110011100111…
…100011010001101110000110
3122002000222001200022101000000
4131212303213203101232012
5114031330303003030204
61140533411131502130
736266240664431652
oct3546634743215606
9562028050271000
10130210113330054
1138541887449a3a
121272b7135b7946
1357869b7bc1814
1424222bb4a3a62
15100c0e5815039
hex766ce78d1b86

130210113330054 has 112 divisors (see below), whose sum is σ = 294586963719552. Its totient is φ = 43144840387584.

The previous prime is 130210113330053. The next prime is 130210113330103. The reversal of 130210113330054 is 450033311012031.

130210113330054 is a `hidden beast` number, since 1 + 3 + 0 + 210 + 113 + 330 + 0 + 5 + 4 = 666.

It is a super-2 number, since 2×1302101133300542 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130210113330053) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 219819942 + ... + 220411494.

It is an arithmetic number, because the mean of its divisors is an integer number (2630240747496).

Almost surely, 2130210113330054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130210113330054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147293481859776).

130210113330054 is an abundant number, since it is smaller than the sum of its proper divisors (164376850389498).

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

130210113330054 is an equidigital number, since it uses as much as digits as its factorization.

130210113330054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592473 (or 592458 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 130210113330054 its reverse (450033311012031), we get a palindrome (580243424342085).

The spelling of 130210113330054 in words is "one hundred thirty trillion, two hundred ten billion, one hundred thirteen million, three hundred thirty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 243 446 486 669 677 729 1338 1354 1458 2007 2031 4014 4062 6021 6093 12042 12186 18063 18279 36126 36558 54189 54837 108378 109674 150971 162567 164511 301942 325134 329022 452913 493533 591553 905826 987066 1183106 1358739 1774659 2717478 3549318 4076217 5323977 8152434 10647954 12228651 15971931 24457302 31943862 36685953 47915793 73371906 95831586 110057859 131916319 143747379 220115718 263832638 287494758 395748957 400481381 431242137 791497914 800962762 862484274 1187246871 1201444143 2374493742 2402888286 3561740613 3604332429 7123481226 7208664858 10685221839 10812997287 21370443678 21625994574 32055665517 32438991861 64111331034 64877983722 89307347963 96166996551 97316975583 178614695926 192333993102 194633951166 267922043889 291950926749 535844087778 583901853498 803766131667 1607532263334 2411298395001 4822596790002 7233895185003 14467790370006 21701685555009 43403371110018 65105056665027 130210113330054