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130050142321302 = 2337834998306927
BaseRepresentation
bin11101100100011110101000…
…100010010011101010010110
3122001110200011000122010112000
4131210132220202103222112
5114021220142413240202
61140332113253540130
736251545522333230
oct3544365042235226
9561420130563460
10130050142321302
113848aa56a38395
1212704709644646
1357748a29659a8
142418663779250
151007d816a291c
hex7647a8893a96

130050142321302 has 128 divisors (see below), whose sum is σ = 334935336960000. Its totient is φ = 36635936054688.

The previous prime is 130050142321301. The next prime is 130050142321367. The reversal of 130050142321302 is 203123241050031.

130050142321302 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 501 + 4 + 23 + 2 + 130 + 2 = 666.

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 (130050142321301) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11502163 + ... + 19809089.

It is an arithmetic number, because the mean of its divisors is an integer number (2616682320000).

Almost surely, 2130050142321302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130050142321302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167467668480000).

130050142321302 is an abundant number, since it is smaller than the sum of its proper divisors (204885194638698).

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

130050142321302 is a wasteful number, since it uses less digits than its factorization.

130050142321302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307527 (or 8307521 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 130050142321302 its reverse (203123241050031), we get a palindrome (333173383371333).

The spelling of 130050142321302 in words is "one hundred thirty trillion, fifty billion, one hundred forty-two million, three hundred twenty-one thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 498 499 581 747 998 1162 1494 1497 1743 2241 2994 3486 3493 4482 4491 5229 6986 8982 10458 10479 13473 15687 20958 26946 31374 31437 41417 62874 82834 94311 124251 188622 248502 289919 372753 579838 745506 869757 1118259 1739514 2236518 2609271 5218542 7827813 8306927 15655626 16613854 24920781 49841562 58148489 74762343 116296978 149524686 174445467 224287029 348890934 448574058 523336401 689474941 1046672802 1378949882 1570009203 2068424823 3140018406 4136849646 4145156573 4826324587 6205274469 8290313146 9652649174 12410548938 12435469719 14478973761 18615823407 24870939438 28957947522 29016096011 37231646814 37306409157 43436921283 58032192022 74612818314 86873842566 87048288033 111919227471 130310763849 174096576066 223838454942 260621527698 261144864099 344047995559 522289728198 688095991118 783434592297 1032143986677 1566869184594 2064287973354 2408335968913 3096431960031 4816671937826 6192863920062 7225007906739 9289295880093 14450015813478 18578591760186 21675023720217 43350047440434 65025071160651 130050142321302