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120013001010 = 23257268970843
BaseRepresentation
bin110111111000101010…
…1010001000100110010
3102110202220122010112100
41233301111101010302
53431241312013020
6131044435041230
711446014451140
oct1576125210462
9373686563470
10120013001010
1146996234a61
121b314140216
13b417ab9b86
145b46d6c590
1531c61c2a90
hex1bf1551132

120013001010 has 96 divisors (see below), whose sum is σ = 356747713920. Its totient is φ = 27420954624.

The previous prime is 120013000997. The next prime is 120013001011. The reversal of 120013001010 is 10100310021.

120013001010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1200130010102 (a number of 23 digits) 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 = 120013000983 and 120013001001.

It is not an unprimeable number, because it can be changed into a prime (120013001011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1658649 + ... + 1729491.

It is an arithmetic number, because the mean of its divisors is an integer number (3716122020).

Almost surely, 2120013001010 is an apocalyptic number.

120013001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120013001010 is an abundant number, since it is smaller than the sum of its proper divisors (236734712910).

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

120013001010 is a wasteful number, since it uses less digits than its factorization.

120013001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73552 (or 73549 counting only the distinct ones).

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

Adding to 120013001010 its reverse (10100310021), we get a palindrome (130113311031).

The spelling of 120013001010 in words is "one hundred twenty billion, thirteen million, one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 2689 5378 8067 13445 16134 18823 24201 26890 37646 40335 48402 56469 70843 80670 94115 112938 121005 141686 169407 188230 212529 242010 282345 338814 354215 425058 495901 564690 637587 708430 847035 991802 1062645 1275174 1487703 1694070 2125290 2479505 2975406 3187935 4463109 4959010 6375870 7438515 8926218 14877030 22315545 44631090 190496827 380993654 571490481 952484135 1142980962 1333477789 1714471443 1904968270 2666955578 2857452405 3428942886 4000433367 5714904810 6667388945 8000866734 8572357215 12001300101 13334777890 17144714430 20002166835 24002600202 40004333670 60006500505 120013001010