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120131316 = 223317591109
BaseRepresentation
bin1110010100100…
…00111011110100
322101001022012000
413022100323310
5221223200231
615530455300
72656046034
oct712207364
9271038160
10120131316
11618a1488
1234294530
131bb71926
1411d518c4
15a82e6e6
hex7290ef4

120131316 has 96 divisors (see below), whose sum is σ = 335664000. Its totient is φ = 37016064.

The previous prime is 120131279. The next prime is 120131383. The reversal of 120131316 is 613131021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107770 + ... + 108878.

It is an arithmetic number, because the mean of its divisors is an integer number (3496500).

Almost surely, 2120131316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120131316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832000).

120131316 is an abundant number, since it is smaller than the sum of its proper divisors (215532684).

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

120131316 is a wasteful number, since it uses less digits than its factorization.

120131316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120131316 is about 10960.4432392125. The cubic root of 120131316 is about 493.4222676693.

Adding to 120131316 its reverse (613131021), we get a palindrome (733262337).

The spelling of 120131316 in words is "one hundred twenty million, one hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 59 68 102 108 118 153 177 204 236 306 354 459 531 612 708 918 1003 1062 1109 1593 1836 2006 2124 2218 3009 3186 3327 4012 4436 6018 6372 6654 9027 9981 12036 13308 18054 18853 19962 27081 29943 36108 37706 39924 54162 56559 59886 65431 75412 108324 113118 119772 130862 169677 196293 226236 261724 339354 392586 509031 588879 678708 785172 1018062 1112327 1177758 1766637 2036124 2224654 2355516 3336981 3533274 4449308 6673962 7066548 10010943 13347924 20021886 30032829 40043772 60065658 120131316