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131411310340422 = 23741271347811523
BaseRepresentation
bin11101111000010010010100…
…011110001110100101000110
3122020021210120011101220111210
4131320102110132032211012
5114211020330421343142
61143253304512312250
736452103526522110
oct3570222436164506
9566253504356453
10131411310340422
113896525088a6a2
12128a4485b42686
135843058494c88
1424644ac9803b0
15102d49a64a49c
hex77849478e946

131411310340422 has 128 divisors (see below), whose sum is σ = 309720562679808. Its totient is φ = 36389944915200.

The previous prime is 131411310340417. The next prime is 131411310340537. The reversal of 131411310340422 is 224043013114131.

It is a self number, because there is not a number n which added to its sum of digits gives 131411310340422.

It is a congruent number.

It is an unprimeable number.

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, 161525953 + ... + 162337475.

It is an arithmetic number, because the mean of its divisors is an integer number (2419691895936).

Almost surely, 2131411310340422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131411310340422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154860281339904).

131411310340422 is an abundant number, since it is smaller than the sum of its proper divisors (178309252339386).

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

131411310340422 is a wasteful number, since it uses less digits than its factorization.

131411310340422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812194.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131411310340422 its reverse (224043013114131), we get a palindrome (355454323454553).

The spelling of 131411310340422 in words is "one hundred thirty-one trillion, four hundred eleven billion, three hundred ten million, three hundred forty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 271 287 347 542 574 694 813 861 1041 1626 1722 1897 2082 2429 3794 4858 5691 7287 11111 11382 14227 14574 22222 28454 33333 42681 66666 77777 85362 94037 99589 155554 188074 199178 233331 282111 298767 466662 564222 597534 658259 811523 1316518 1623046 1974777 2434569 3855517 3949554 4869138 5680661 7711034 11361322 11566551 17041983 23133102 26988619 33272443 34083966 53977238 66544886 80965857 99817329 161931714 199634658 219922733 232907101 281598481 439845466 465814202 563196962 659768199 698721303 844795443 1319536398 1397442606 1539459131 1689590886 1971189367 3078918262 3942378734 4618377393 5913568101 9016832053 9236754786 11545537721 11827136202 18033664106 23091075442 27050496159 34636613163 54100992318 63117824371 69273226326 76313188351 80818764047 126235648742 152626376702 161637528094 189353473113 228939565053 242456292141 378706946226 457879130106 484912584282 534192318457 1068384636914 1602576955371 3128840722391 3205153910742 6257681444782 9386522167173 18773044334346 21901885056737 43803770113474 65705655170211 131411310340422