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130241014203114 = 2347129347980681
BaseRepresentation
bin11101100111010000011001…
…011000110000001011101010
3122002010220211012202100220000
4131213100121120300023222
5114032332044113444424
61140555521304443430
736301413513503613
oct3547203130601352
9562126735670800
10130241014203114
11385539a4161261
12127356b8179576
1357898a0ac77a9
1424239ad414c0a
15100cd0358e3c9
hex7674196302ea

130241014203114 has 160 divisors (see below), whose sum is σ = 297580414602240. Its totient is φ = 42566548550400.

The previous prime is 130241014203061. The next prime is 130241014203127. The reversal of 130241014203114 is 411302410142031.

It is a happy number.

130241014203114 is a `hidden beast` number, since 1 + 3 + 0 + 24 + 101 + 420 + 3 + 114 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1614230854 + ... + 1614311534.

It is an arithmetic number, because the mean of its divisors is an integer number (1859877591264).

Almost surely, 2130241014203114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130241014203114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148790207301120).

130241014203114 is an abundant number, since it is smaller than the sum of its proper divisors (167339400399126).

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

130241014203114 is a wasteful number, since it uses less digits than its factorization.

130241014203114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81538 (or 81529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 130241014203114 its reverse (411302410142031), we get a palindrome (541543424345145).

The spelling of 130241014203114 in words is "one hundred thirty trillion, two hundred forty-one billion, fourteen million, two hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 293 426 479 586 639 879 958 1278 1437 1758 1917 2637 2874 3834 4311 5274 5751 7911 8622 11502 12933 15822 20803 23733 25866 34009 38799 41606 47466 62409 68018 77598 80681 102027 124818 140347 161362 187227 204054 242043 280694 306081 374454 421041 484086 561681 612162 726129 842082 918243 1123362 1263123 1452258 1685043 1836486 2178387 2526246 2754729 3370086 3789369 4356774 5509458 5728351 6535161 7578738 9964637 11368107 11456702 13070322 17185053 19929274 22736214 23639533 29893911 34370106 38646199 47279066 51555159 59787822 70918599 77292398 89681733 103110318 115938597 141837198 154665477 179363466 212755797 231877194 269045199 309330954 347815791 425511594 463996431 538090398 638267391 695631582 807135597 927992862 1043447373 1276534782 1614271194 1678406843 1914802173 2086894746 2743880129 3130342119 3356813686 3829604346 5035220529 5487760258 6260684238 8231640387 10070441058 11323336307 15105661587 16463280774 22646672614 24694921161 30211323174 33970008921 45316984761 49389842322 67940017842 74084763483 90633969522 101910026763 135950954283 148169526966 203820053526 222254290449 271901908566 305730080289 444508580898 611460160578 803956877797 917190240867 1607913755594 1834380481734 2411870633391 4823741266782 7235611900173 14471223800346 21706835700519 43413671401038 65120507101557 130241014203114