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124112011104 = 2533659217979
BaseRepresentation
bin111001110010110100…
…1101111111101100000
3102212100120122102022000
41303211221233331200
54013140133323404
6133003303044000
711652416454654
oct1634551577540
9385316572260
10124112011104
11486a9aa3a04
1220078a40600
13b91c096633
1460154d6a64
153365ea4339
hex1ce5a6ff60

124112011104 has 96 divisors (see below), whose sum is σ = 362544336000. Its totient is φ = 41307702912.

The previous prime is 124112011097. The next prime is 124112011141. The reversal of 124112011104 is 401110211421.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 460387 + ... + 678365.

It is an arithmetic number, because the mean of its divisors is an integer number (3776503500).

Almost surely, 2124112011104 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 124112011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181272168000).

124112011104 is an abundant number, since it is smaller than the sum of its proper divisors (238432324896).

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

124112011104 is a wasteful number, since it uses less digits than its factorization.

124112011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218657 (or 218643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 124112011104 its reverse (401110211421), we get a palindrome (525222222525).

The spelling of 124112011104 in words is "one hundred twenty-four billion, one hundred twelve million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 659 864 1318 1977 2636 3954 5272 5931 7908 10544 11862 15816 17793 21088 23724 31632 35586 47448 63264 71172 94896 142344 189792 217979 284688 435958 569376 653937 871916 1307874 1743832 1961811 2615748 3487664 3923622 5231496 5885433 6975328 7847244 10462992 11770866 15694488 20925984 23541732 31388976 47083464 62777952 94166928 143648161 188333856 287296322 430944483 574592644 861888966 1149185288 1292833449 1723777932 2298370576 2585666898 3447555864 3878500347 4596741152 5171333796 6895111728 7757000694 10342667592 13790223456 15514001388 20685335184 31028002776 41370670368 62056005552 124112011104