Search a number
-
+
120032111310 = 23517478349207
BaseRepresentation
bin110111111001001111…
…0001010101011001110
3102110211020121000221020
41233302132022223032
53431311210030220
6131050400415010
711446336053246
oct1576236125316
9373736530836
10120032111310
11469a5aa78a1
121b31a617466
13b41ba4b347
145b49704b26
1531c7bea040
hex1bf278aace

120032111310 has 64 divisors (see below), whose sum is σ = 305092749312. Its totient is φ = 30118795776.

The previous prime is 120032111237. The next prime is 120032111363. The reversal of 120032111310 is 13111230021.

It is a happy number.

It is a super-2 number, since 2×1200321113102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120032111310.

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, 2414727 + ... + 2463933.

It is an arithmetic number, because the mean of its divisors is an integer number (4767074208).

Almost surely, 2120032111310 is an apocalyptic number.

120032111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120032111310 is an abundant number, since it is smaller than the sum of its proper divisors (185060638002).

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

120032111310 is a wasteful number, since it uses less digits than its factorization.

120032111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54017.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120032111310 its reverse (13111230021), we get a palindrome (133143341331).

The spelling of 120032111310 in words is "one hundred twenty billion, thirty-two million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 4783 9566 14349 23915 28698 47830 49207 71745 81311 98414 143490 147621 162622 243933 246035 295242 406555 487866 492070 738105 813110 836519 1219665 1476210 1673038 2439330 2509557 4182595 5019114 8365190 12547785 25095570 235357081 470714162 706071243 1176785405 1412142486 2353570810 3530356215 4001070377 7060712430 8002140754 12003211131 20005351885 24006422262 40010703770 60016055655 120032111310