Search a number
-
+
120023324232 = 233741115115139
BaseRepresentation
bin110111111000111110…
…0101001011001001000
3102110210122001121022220
41233301330221121020
53431301432333412
6131045444214040
711446201265040
oct1576174513110
9373718047286
10120023324232
11469a1045a49
121b31769a320
13b419c928a6
145b48498720
1531c706168c
hex1bf1f29648

120023324232 has 128 divisors (see below), whose sum is σ = 351616204800. Its totient is φ = 33424704000.

The previous prime is 120023324221. The next prime is 120023324243. The reversal of 120023324232 is 232423320021.

It is an interprime number because it is at equal distance from previous prime (120023324221) and next prime (120023324243).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7920519 + ... + 7935657.

It is an arithmetic number, because the mean of its divisors is an integer number (2747001600).

Almost surely, 2120023324232 is an apocalyptic number.

120023324232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120023324232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175808102400).

120023324232 is an abundant number, since it is smaller than the sum of its proper divisors (231592880568).

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

120023324232 is a wasteful number, since it uses less digits than its factorization.

120023324232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16347 (or 16343 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 120023324232 its reverse (232423320021), we get a palindrome (352446644253).

The spelling of 120023324232 in words is "one hundred twenty billion, twenty-three million, three hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1151 1722 2296 2302 3444 3453 4604 6888 6906 8057 9208 13812 15139 16114 24171 27624 30278 32228 45417 47191 48342 60556 64456 90834 94382 96684 105973 121112 141573 181668 188764 193368 211946 283146 317919 330337 363336 377528 423892 566292 620699 635838 660674 847784 991011 1132584 1241398 1271676 1321348 1862097 1982022 2482796 2543352 2642696 3724194 3964044 4344893 4965592 7448388 7928088 8689786 13034679 14896776 17379572 17424989 26069358 34759144 34849978 52138716 52274967 69699956 104277432 104549934 121974923 139399912 209099868 243949846 365924769 418199736 487899692 714424549 731849538 975799384 1428849098 1463699076 2143273647 2857698196 2927398152 4286547294 5000971843 5715396392 8573094588 10001943686 15002915529 17146189176 20003887372 30005831058 40007774744 60011662116 120023324232