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140035201131 = 37291313834583
BaseRepresentation
bin1000001001101010111…
…1111001100001101011
3111101110021221021121210
42002122233321201223
54243243002414011
6144155320204203
713055126366340
oct2023257714153
9441407837553
10140035201131
1154430247291
1223181609663
1310288c68477
146ac61927c7
153998d766a6
hex209abf986b

140035201131 has 64 divisors (see below), whose sum is σ = 223059640320. Its totient is φ = 76454152320.

The previous prime is 140035201127. The next prime is 140035201181. The reversal of 140035201131 is 131102530041.

It is not a de Polignac number, because 140035201131 - 22 = 140035201127 is a prime.

It is a super-2 number, since 2×1400352011312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 140035201098 and 140035201107.

It is not an unprimeable number, because it can be changed into a prime (140035201181) 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, 30553066 + ... + 30557648.

It is an arithmetic number, because the mean of its divisors is an integer number (3485306880).

Almost surely, 2140035201131 is an apocalyptic number.

140035201131 is a deficient number, since it is larger than the sum of its proper divisors (83024439189).

140035201131 is a wasteful number, since it uses less digits than its factorization.

140035201131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 140035201131 its reverse (131102530041), we get a palindrome (271137731172).

The spelling of 140035201131 in words is "one hundred forty billion, thirty-five million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 87 131 203 383 393 609 917 1149 2681 2751 3799 4583 8043 11107 11397 13749 26593 32081 33321 50173 77749 79779 96243 132907 150519 233247 351211 398721 600373 930349 1053633 1455017 1755289 1801119 2791047 4202611 4365051 5265867 10185119 12287023 12607833 17410817 30555357 36861069 50903381 52232451 121875719 152710143 229942859 356323667 365627157 689828577 1068971001 1609600013 4828800039 6668342911 20005028733 46678400377 140035201131