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120022100154 = 2321117913072591
BaseRepresentation
bin110111111000111011…
…1111110100010111010
3102110210112202102012200
41233301313332202322
53431301124201104
6131045402051030
711446155006225
oct1576167764272
9373715672180
10120022100154
11469a038a310
121b3171a9a76
13b419954698
145b4825a5bc
1531c6dbdb39
hex1bf1dfe8ba

120022100154 has 96 divisors (see below), whose sum is σ = 285601904640. Its totient is φ = 36125527200.

The previous prime is 120022100153. The next prime is 120022100167. The reversal of 120022100154 is 451001220021.

120022100154 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120022100153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46321399 + ... + 46323989.

It is an arithmetic number, because the mean of its divisors is an integer number (2975019840).

Almost surely, 2120022100154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022100154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800952320).

120022100154 is an abundant number, since it is smaller than the sum of its proper divisors (165579804486).

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

120022100154 is a wasteful number, since it uses less digits than its factorization.

120022100154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 120022100154 its reverse (451001220021), we get a palindrome (571023320175).

The spelling of 120022100154 in words is "one hundred twenty billion, twenty-two million, one hundred thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 179 198 358 537 1074 1307 1611 1969 2591 2614 3222 3921 3938 5182 5907 7773 7842 11763 11814 14377 15546 17721 23319 23526 28501 28754 35442 43131 46638 57002 85503 86262 129393 171006 233953 256509 258786 463789 467906 513018 701859 927578 1391367 1403718 2105577 2573483 2782734 3386437 4174101 4211154 5101679 5146966 6772874 7720449 8348202 10159311 10203358 15305037 15440898 20318622 23161347 30477933 30610074 37250807 45915111 46322694 60955866 74501614 91830222 111752421 223504842 335257263 606172223 670514526 1212344446 1818516669 3637033338 5455550007 6667894453 10911100014 13335788906 20003683359 40007366718 60011050077 120022100154