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100344440322 = 23272339913449
BaseRepresentation
bin101110101110011111…
…1101010011000000010
3100121000011202201112200
41131130333222120002
53121001134042242
6114033025334030
710151425445460
oct1353477523002
9317004681480
10100344440322
1139612903225
1217545197316
139601c9a199
144bdcac1830
1529245c604c
hex175cfea602

100344440322 has 96 divisors (see below), whose sum is σ = 249862579200. Its totient is φ = 28509719040.

The previous prime is 100344440309. The next prime is 100344440353. The reversal of 100344440322 is 223044443001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29092054 + ... + 29095502.

It is an arithmetic number, because the mean of its divisors is an integer number (2602735200).

Almost surely, 2100344440322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100344440322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124931289600).

100344440322 is an abundant number, since it is smaller than the sum of its proper divisors (149518138878).

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

100344440322 is a wasteful number, since it uses less digits than its factorization.

100344440322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 100344440322 its reverse (223044443001), we get a palindrome (323388883323).

The spelling of 100344440322 in words is "one hundred billion, three hundred forty-four million, four hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 233 466 699 991 1398 1631 1982 2097 2973 3262 3449 4194 4893 5946 6898 6937 8919 9786 10347 13874 14679 17838 20694 20811 24143 29358 31041 41622 48286 62082 62433 72429 124866 144858 217287 230903 434574 461806 692709 803617 1385418 1607234 1616321 2078127 2410851 3232642 3417959 4156254 4821702 4848963 5625319 6835918 7232553 9697926 10253877 11250638 14465106 14546889 16875957 20507754 23925713 29093778 30761631 33751914 47851426 50627871 61523262 71777139 101255742 143554278 215331417 430662834 796384447 1592768894 2389153341 4778306682 5574691129 7167460023 11149382258 14334920046 16724073387 33448146774 50172220161 100344440322