Search a number
-
+
121441231032 = 2331110733712757
BaseRepresentation
bin111000100011001110…
…1100010000010111000
3102121110110002201210120
41301012131202002320
53442202423343112
6131442255013240
711526266301102
oct1610635420270
9377413081716
10121441231032
1147559455350
121b65250a220
13b5b4970ab4
145c4090c572
15325b791e8c
hex1c467620b8

121441231032 has 128 divisors (see below), whose sum is σ = 335316983040. Its totient is φ = 36345415680.

The previous prime is 121441231027. The next prime is 121441231063. The reversal of 121441231032 is 230132144121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121441230993 and 121441231011.

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, 9513198 + ... + 9525954.

It is an arithmetic number, because the mean of its divisors is an integer number (2619663930).

Almost surely, 2121441231032 is an apocalyptic number.

121441231032 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 121441231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167658491520).

121441231032 is an abundant number, since it is smaller than the sum of its proper divisors (213875752008).

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

121441231032 is a wasteful number, since it uses less digits than its factorization.

121441231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13221 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121441231032 its reverse (230132144121), we get a palindrome (351573375153).

The spelling of 121441231032 in words is "one hundred twenty-one billion, four hundred forty-one million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 214 264 321 337 428 642 674 856 1011 1177 1284 1348 2022 2354 2568 2696 3531 3707 4044 4708 7062 7414 8088 9416 11121 12757 14124 14828 22242 25514 28248 29656 36059 38271 44484 51028 72118 76542 88968 102056 108177 140327 144236 153084 216354 280654 288472 306168 396649 420981 432708 561308 793298 841962 865416 1122616 1189947 1364999 1586596 1683924 2379894 2729998 3173192 3367848 4094997 4299109 4759788 5459996 8189994 8598218 9519576 10919992 12897327 15014989 16379988 17196436 25794654 30029978 32759976 34392872 45044967 47290199 51589308 60059956 90089934 94580398 103178616 120119912 141870597 180179868 189160796 283741194 360359736 378321592 460004663 567482388 920009326 1134964776 1380013989 1840018652 2760027978 3680037304 5060051293 5520055956 10120102586 11040111912 15180153879 20240205172 30360307758 40480410344 60720615516 121441231032