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131120235114132 = 2231110772712769609
BaseRepresentation
bin11101110100000011001111…
…000010010110111010010100
3122012020222020122000100201010
4131310003033002112322110
5114141233220142123012
61142511445432132220
736422060442106035
oct3564031702267224
9565228218010633
10131120235114132
1138862863473a40
1212857b91537070
13582177b668074
142454378c70a8c
151025b11758c3c
hex7740cf096e94

131120235114132 has 96 divisors (see below), whose sum is σ = 337343266391040. Its totient is φ = 39307918129920.

The previous prime is 131120235114131. The next prime is 131120235114161. The reversal of 131120235114132 is 231411532021131.

It is a happy number.

It is a super-2 number, since 2×1311202351141322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131120235114132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120235114131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3883344 + ... + 16652952.

It is an arithmetic number, because the mean of its divisors is an integer number (3513992358240).

Almost surely, 2131120235114132 is an apocalyptic number.

131120235114132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120235114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168671633195520).

131120235114132 is an abundant number, since it is smaller than the sum of its proper divisors (206223031276908).

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

131120235114132 is a wasteful number, since it uses less digits than its factorization.

131120235114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12770461 (or 12770459 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 131120235114132 its reverse (231411532021131), we get a palindrome (362531767135263).

The spelling of 131120235114132 in words is "one hundred thirty-one trillion, one hundred twenty billion, two hundred thirty-five million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 727 1177 1284 1454 2181 2354 2908 3531 4362 4708 7062 7997 8724 14124 15994 23991 31988 47982 77789 95964 155578 233367 311156 466734 855679 933468 1711358 2567037 3422716 5134074 10268148 12769609 25539218 38308827 51078436 76617654 140465699 153235308 280931398 421397097 561862796 842794194 1366348163 1685588388 2732696326 4099044489 5465392652 8198088978 9283505743 15029829793 16396177956 18567011486 27850517229 30059659586 37134022972 45089489379 55701034458 60119319172 90178978758 102118563173 111402068916 180357957516 204237126346 306355689519 408474252692 612711379038 993335114501 1225422758076 1986670229002 2980005343503 3973340458004 5960010687006 10926686259511 11920021374012 21853372519022 32780058778533 43706745038044 65560117557066 131120235114132