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120931314007 = 747217943691
BaseRepresentation
bin111000010100000010…
…0010110100101010111
3102120010220121021010211
41300220010112211113
53440131404022012
6131315521430251
711510535131410
oct1605004264527
9376126537124
10120931314007
1147317635119
121b52b79b387
13b533125b4a
145bd2cd4807
15322bb1a6a7
hex1c28116957

120931314007 has 24 divisors (see below), whose sum is σ = 142002495360. Its totient is φ = 100880909040.

The previous prime is 120931313959. The next prime is 120931314013. The reversal of 120931314007 is 700413139021.

It is not a de Polignac number, because 120931314007 - 211 = 120931311959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120931314007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120931314107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2746032 + ... + 2789722.

It is an arithmetic number, because the mean of its divisors is an integer number (5916770640).

Almost surely, 2120931314007 is an apocalyptic number.

120931314007 is a deficient number, since it is larger than the sum of its proper divisors (21071181353).

120931314007 is an equidigital number, since it uses as much as digits as its factorization.

120931314007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43971 (or 43924 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

It can be divided in two parts, 1209 and 31314007, that added together give a square (31315216 = 55962).

The spelling of 120931314007 in words is "one hundred twenty billion, nine hundred thirty-one million, three hundred fourteen thousand, seven".

Divisors: 1 7 47 179 329 1253 2209 8413 15463 43691 58891 305837 395411 2053477 2767877 7820689 14374339 54744823 96513419 367572383 675593933 2573006681 17275902001 120931314007