Search a number
-
+
121033434104 = 23117337395039
BaseRepresentation
bin111000010111000100…
…1111010001111111000
3102120102000202111120122
41300232021322033320
53440334024342404
6131334010312412
711513215133552
oct1605611721770
9376360674518
10121033434104
114736a2444a0
121b559a28708
13b54b32c63b
145c026b84d2
153235a8d3be
hex1c2e27a3f8

121033434104 has 64 divisors (see below), whose sum is σ = 251076672000. Its totient is φ = 54236286720.

The previous prime is 121033434061. The next prime is 121033434113. The reversal of 121033434104 is 401434330121.

It is a happy number.

121033434104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24016817 + ... + 24021855.

It is an arithmetic number, because the mean of its divisors is an integer number (3923073000).

Almost surely, 2121033434104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121033434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125538336000).

121033434104 is an abundant number, since it is smaller than the sum of its proper divisors (130043237896).

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

121033434104 is a wasteful number, since it uses less digits than its factorization.

121033434104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 121033434104 its reverse (401434330121), we get a palindrome (522467764225).

The spelling of 121033434104 in words is "one hundred twenty-one billion, thirty-three million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1606 3212 3739 5039 6424 7478 10078 14956 20156 29912 40312 41129 55429 82258 110858 164516 221716 272947 329032 367847 443432 545894 735694 1091788 1471388 2183576 2942776 3002417 4046317 6004834 8092634 12009668 16185268 18840821 24019336 32370536 37681642 75363284 150726568 207249031 414498062 828996124 1375379933 1657992248 2750759866 5501519732 11003039464 15129179263 30258358526 60516717052 121033434104