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131010132431442 = 231122910453595291
BaseRepresentation
bin11101110010011100101100…
…011001111101001001010010
3122011212110001101101120011110
4131302130230121331021102
5114132432222400301232
61142345120213354150
736411112132541115
oct3562345431751122
9564773041346143
10131010132431442
11388200a336a900
121283a784338956
135814282ac8594
14244ccd219c57c
151022d1a62bacc
hex77272c67d252

131010132431442 has 96 divisors (see below), whose sum is σ = 297965981355840. Its totient is φ = 38327341852800.

The previous prime is 131010132431441. The next prime is 131010132431531. The reversal of 131010132431442 is 244134231010131.

It is not an unprimeable number, because it can be changed into a prime (131010132431441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219779817 + ... + 220375107.

It is an arithmetic number, because the mean of its divisors is an integer number (3103812305790).

Almost surely, 2131010132431442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131010132431442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148982990677920).

131010132431442 is an abundant number, since it is smaller than the sum of its proper divisors (166955848924398).

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

131010132431442 is a wasteful number, since it uses less digits than its factorization.

131010132431442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605800 (or 605789 counting only the distinct ones).

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

Adding to 131010132431442 its reverse (244134231010131), we get a palindrome (375144363441573).

The spelling of 131010132431442 in words is "one hundred thirty-one trillion, ten billion, one hundred thirty-two million, four hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1914 3509 7018 10453 10527 20906 21054 31359 62718 114983 229966 303137 344949 595291 606274 689898 909411 1190582 1264813 1785873 1818822 2529626 3334507 3571746 3794439 6548201 6669014 7588878 10003521 13096402 17263439 19644603 20007042 34526878 36679577 39289206 51790317 72030211 73359154 103580634 110038731 144060422 189897829 216090633 220077462 379795658 432181266 569693487 1139386974 2088876119 4177752238 6222576823 6266628357 12445153646 12533256714 18667730469 37335460938 68448345053 136896690106 180454727867 205345035159 360909455734 410690070318 541364183601 752931795583 1082728367202 1505863591166 1985002006537 2258795386749 3970004013074 4517590773498 5955006019611 11910012039222 21835022071907 43670044143814 65505066215721 131010132431442