Search a number
-
+
122101121096 = 231715124124671
BaseRepresentation
bin111000110110111001…
…0110100000001001000
3102200011102210121210022
41301231302310001020
54000030341333341
6132031550440012
711551531255613
oct1615562640110
9380142717708
10122101121096
1147867999539
121b7b7503008
13b68b5a85a6
145ca440517a
15329968ee4b
hex1c6dcb4048

122101121096 has 64 divisors (see below), whose sum is σ = 245034408960. Its totient is φ = 56839680000.

The previous prime is 122101121041. The next prime is 122101121099. The reversal of 122101121096 is 690121101221.

122101121096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122101121099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4936841 + ... + 4961511.

It is an arithmetic number, because the mean of its divisors is an integer number (3828662640).

Almost surely, 2122101121096 is an apocalyptic number.

It is an amenable number.

122101121096 is an abundant number, since it is smaller than the sum of its proper divisors (122933287864).

122101121096 is a wasteful number, since it uses less digits than its factorization.

122101121096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25086 (or 25082 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 122101121096 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, ninety-six".

Divisors: 1 2 4 8 17 34 68 136 151 241 302 482 604 964 1208 1928 2567 4097 5134 8194 10268 16388 20536 24671 32776 36391 49342 72782 98684 145564 197368 291128 419407 618647 838814 1237294 1677628 2474588 3355256 3725321 4949176 5945711 7450642 11891422 14901284 23782844 29802568 47565688 63330457 101077087 126660914 202154174 253321828 404308348 506643656 808616696 897802361 1795604722 3591209444 7182418888 15262640137 30525280274 61050560548 122101121096