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131021320142142 = 23346350382312659
BaseRepresentation
bin11101110010100111000111…
…001111101011110100111110
3122011220111221002001011002000
4131302213013033223310332
5114133123130424022032
61142354210305043130
736411656311525353
oct3562470717536476
9564814832034060
10131021320142142
1138824914557501
12128409870264a6
135815346896641
14244d673d7262a
1510232728e8e7c
hex7729c73ebd3e

131021320142142 has 128 divisors (see below), whose sum is σ = 292745805004800. Its totient is φ = 43436528305632.

The previous prime is 131021320142107. The next prime is 131021320142149. The reversal of 131021320142142 is 241241023120131.

131021320142142 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 213 + 20 + 1 + 421 + 4 + 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 (131021320142149) 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, 10350046609 + ... + 10350059267.

It is an arithmetic number, because the mean of its divisors is an integer number (2287076601600).

Almost surely, 2131021320142142 is an apocalyptic number.

131021320142142 is an abundant number, since it is smaller than the sum of its proper divisors (161724484862658).

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

131021320142142 is a wasteful number, since it uses less digits than its factorization.

131021320142142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14459 (or 14453 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131021320142142 its reverse (241241023120131), we get a palindrome (372262343262273).

The spelling of 131021320142142 in words is "one hundred thirty-one trillion, twenty-one billion, three hundred twenty million, one hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 463 503 823 926 1006 1389 1509 1646 2469 2778 3018 4167 4527 4938 7407 8334 9054 12501 12659 13581 14814 22221 25002 25318 27162 37977 44442 75954 113931 227862 232889 341793 381049 413969 465778 683586 698667 762098 827938 1143147 1241907 1397334 2096001 2286294 2483814 3429441 3725721 4192002 5861117 6288003 6367477 6858882 7451442 10288323 10418357 11177163 11722234 12576006 12734954 17583351 19102431 20576646 20836714 22354326 31255071 35166702 38204862 52750053 57307293 62510142 93765213 105500106 114614586 158250159 171921879 187530426 191667647 281295639 316500318 343843758 383335294 562591278 575002941 1150005882 1725008823 2948141851 3450017646 4823699291 5175026469 5240433571 5896283702 8844425553 9647398582 10350052938 10480867142 14471097873 15721300713 17688851106 26533276659 28942195746 31442601426 43413293619 47163902139 53066553318 79599829977 86826587238 94327804278 130239880857 141491706417 159199659954 260479761714 282983412834 2426320743373 4852641486746 7278962230119 14557924460238 21836886690357 43673773380714 65510660071071 131021320142142