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131202144342 = 232194719941017
BaseRepresentation
bin111101000110001000…
…0011101100001010110
3110112122200222111122100
41322030100131201112
54122200222104332
6140135021142530
712323211553233
oct1721420354126
9415580874570
10131202144342
115070820aa55
12215173baa46
13c4abc6a049
1464c8dd678a
15362d67467c
hex1e8c41d856

131202144342 has 96 divisors (see below), whose sum is σ = 307142784000. Its totient is φ = 40345962624.

The previous prime is 131202144331. The next prime is 131202144343. The reversal of 131202144342 is 243441202131.

131202144342 is a `hidden beast` number, since 1 + 3 + 12 + 0 + 214 + 434 + 2 = 666.

It is a super-2 number, since 2×1312021443422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131202144343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3178218 + ... + 3219234.

It is an arithmetic number, because the mean of its divisors is an integer number (3199404000).

Almost surely, 2131202144342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131202144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153571392000).

131202144342 is an abundant number, since it is smaller than the sum of its proper divisors (175940639658).

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

131202144342 is a wasteful number, since it uses less digits than its factorization.

131202144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41290 (or 41287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131202144342 its reverse (243441202131), we get a palindrome (374643346473).

The spelling of 131202144342 in words is "one hundred thirty-one billion, two hundred two million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 199 282 342 398 423 597 846 893 1194 1786 1791 2679 3582 3781 5358 7562 8037 9353 11343 16074 18706 22686 28059 34029 41017 56118 68058 82034 84177 123051 168354 177707 246102 355414 369153 533121 738306 779323 1066242 1558646 1599363 1927799 2337969 3198726 3855598 4675938 5783397 7013907 8162383 11566794 14027814 16324766 17350191 24487149 34700382 36628181 48974298 73256362 73461447 109884543 146922894 155085277 219769086 310170554 329653629 383632001 465255831 659307258 767264002 930511662 1150896003 1395767493 2301792006 2791534986 3452688009 6905376018 7289008019 14578016038 21867024057 43734048114 65601072171 131202144342