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131573442 = 2371113191153
BaseRepresentation
bin1111101011110…
…10011011000010
3100011120121211110
413311322123002
5232140322232
621020024150
73155233020
oct765723302
9304517743
10131573442
11682a7090
1238092056
1321349a10
141368d710
15b83eacc
hex7d7a6c2

131573442 has 128 divisors (see below), whose sum is σ = 372234240. Its totient is φ = 29859840.

The previous prime is 131573441. The next prime is 131573459. The reversal of 131573442 is 244375131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131573441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113538 + ... + 114690.

It is an arithmetic number, because the mean of its divisors is an integer number (2908080).

Almost surely, 2131573442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131573442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186117120).

131573442 is an abundant number, since it is smaller than the sum of its proper divisors (240660798).

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

131573442 is a wasteful number, since it uses less digits than its factorization.

131573442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208.

The product of its digits is 10080, while the sum is 30.

The square root of 131573442 is about 11470.5467175719. The cubic root of 131573442 is about 508.6152902741.

The spelling of 131573442 in words is "one hundred thirty-one million, five hundred seventy-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 19 21 22 26 33 38 39 42 57 66 77 78 91 114 133 143 154 182 209 231 247 266 273 286 399 418 429 462 494 546 627 741 798 858 1001 1153 1254 1463 1482 1729 2002 2306 2717 2926 3003 3458 3459 4389 5187 5434 6006 6918 8071 8151 8778 10374 12683 14989 16142 16302 19019 21907 24213 25366 29978 38038 38049 43814 44967 48426 57057 65721 76098 88781 89934 104923 114114 131442 153349 164879 177562 209846 240977 266343 284791 306698 314769 329758 460047 481954 494637 532686 569582 629538 722931 854373 920094 989274 1154153 1445862 1686839 1708746 1993537 2308306 3132701 3373678 3462459 3987074 5060517 5980611 6265402 6924918 9398103 10121034 11961222 18796206 21928907 43857814 65786721 131573442