Search a number
-
+
121330104 = 233737131149
BaseRepresentation
bin1110011101101…
…01100110111000
322110022012121120
413032311212320
5222030030404
620012305240
73002201040
oct716654670
9273265546
10121330104
1162540115
1234772220
131c1a147c
1412184720
15a9b99d9
hex73b59b8

121330104 has 128 divisors (see below), whose sum is σ = 361152000. Its totient is φ = 33246720.

The previous prime is 121330103. The next prime is 121330109. The reversal of 121330104 is 401033121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121330103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814222 + ... + 814370.

It is an arithmetic number, because the mean of its divisors is an integer number (2821500).

Almost surely, 2121330104 is an apocalyptic number.

121330104 is a gapful number since it is divisible by the number (14) 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 121330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180576000).

121330104 is an abundant number, since it is smaller than the sum of its proper divisors (239821896).

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

121330104 is a wasteful number, since it uses less digits than its factorization.

121330104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 121330104 is about 11014.9945074884. The cubic root of 121330104 is about 495.0581219375.

Adding to 121330104 its reverse (401033121), we get a palindrome (522363225).

The spelling of 121330104 in words is "one hundred twenty-one million, three hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 131 148 149 168 222 259 262 296 298 393 444 447 518 524 596 777 786 888 894 917 1036 1043 1048 1192 1554 1572 1788 1834 2072 2086 2751 3108 3129 3144 3576 3668 4172 4847 5502 5513 6216 6258 7336 8344 9694 11004 11026 12516 14541 16539 19388 19519 22008 22052 25032 29082 33078 33929 38591 38776 39038 44104 58164 58557 66156 67858 77182 78076 101787 115773 116328 117114 132312 135716 136633 154364 156152 203574 231546 234228 271432 273266 308728 407148 409899 463092 468456 546532 722203 814296 819798 926184 1093064 1444406 1639596 2166609 2888812 3279192 4333218 5055421 5777624 8666436 10110842 15166263 17332872 20221684 30332526 40443368 60665052 121330104