Search a number
-
+
120011310 = 23255997233
BaseRepresentation
bin1110010011100…
…11101000101110
322100211012120100
413021303220232
5221210330220
615524131530
72655036126
oct711635056
9270735510
10120011310
116181a301
1234236ba6
131bb2c113
1411d1dc86
15a808d90
hex7273a2e

120011310 has 96 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 31002624.

The previous prime is 120011303. The next prime is 120011321. The reversal of 120011310 is 13110021.

It is a super-2 number, since 2×1200113102 = 28805429055832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120011292 and 120011301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514954 + ... + 515186.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2120011310 is an apocalyptic number.

120011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

120011310 is an abundant number, since it is smaller than the sum of its proper divisors (201953970).

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

120011310 is a wasteful number, since it uses less digits than its factorization.

120011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 120011310 is about 10954.9673664507. The cubic root of 120011310 is about 493.2579104118.

Adding to 120011310 its reverse (13110021), we get a palindrome (133121331).

The spelling of 120011310 in words is "one hundred twenty million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 97 118 177 194 233 291 295 354 466 485 531 582 590 699 873 885 970 1062 1165 1398 1455 1746 1770 2097 2330 2655 2910 3495 4194 4365 5310 5723 6990 8730 10485 11446 13747 17169 20970 22601 27494 28615 34338 41241 45202 51507 57230 67803 68735 82482 85845 103014 113005 123723 135606 137470 171690 203409 206205 226010 247446 257535 339015 406818 412410 515070 618615 678030 1017045 1237230 1333459 2034090 2666918 4000377 6667295 8000754 12001131 13334590 20001885 24002262 40003770 60005655 120011310