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120031003121131 = 31735939714231867
BaseRepresentation
bin11011010010101011100101…
…010011011001010111101011
3120201222211222222121202211001
4123102223211103121113223
5111213041443244334011
61103141252005215431
734165645103313334
oct3322534523312753
9521884888552731
10120031003121131
1135277954072a73
1211566990101577
1351c8b4b58276b
14218d7627d928b
15dd243637a7c1
hex6d2ae54d95eb

120031003121131 has 32 divisors (see below), whose sum is σ = 121199144417280. Its totient is φ = 118871168270976.

The previous prime is 120031003121093. The next prime is 120031003121137. The reversal of 120031003121131 is 131121300130021.

It is a cyclic number.

It is not a de Polignac number, because 120031003121131 - 225 = 120030969566699 is a prime.

It is a super-2 number, since 2×1200310031211312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120031003121099 and 120031003121108.

It is not an unprimeable number, because it can be changed into a prime (120031003121137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64290841660 + ... + 64290843526.

It is an arithmetic number, because the mean of its divisors is an integer number (3787473263040).

Almost surely, 2120031003121131 is an apocalyptic number.

120031003121131 is a deficient number, since it is larger than the sum of its proper divisors (1168141296149).

120031003121131 is a wasteful number, since it uses less digits than its factorization.

120031003121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 120031003121131 its reverse (131121300130021), we get a palindrome (251152303251152).

The spelling of 120031003121131 in words is "one hundred twenty trillion, thirty-one billion, three million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 317 359 397 1423 1867 113803 125849 142523 451091 510857 564931 591839 670253 741199 2656741 45179791 161941669 179083127 202810229 212470201 234960083 266090441 842186897 953770019 1054726177 64290842593 84350669797 302345096023 334348198109 378646697543 120031003121131