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102044240430 = 235112107262723
BaseRepresentation
bin101111100001001001…
…1111000101000101110
3100202101122020111221020
41133002103320220232
53132441311143210
6114513430115010
710241515506066
oct1370223705056
9322348214836
10102044240430
113a30534a200
121793a4aba66
1398131a6772
144d207543a6
1529c393a770
hex17c24f8a2e

102044240430 has 96 divisors (see below), whose sum is σ = 271711262592. Its totient is φ = 24506708160.

The previous prime is 102044240413. The next prime is 102044240437. The reversal of 102044240430 is 34042440201.

It is a happy number.

102044240430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102044240430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102044240437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257049 + ... + 519771.

It is an arithmetic number, because the mean of its divisors is an integer number (2830325652).

Almost surely, 2102044240430 is an apocalyptic number.

102044240430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102044240430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135855631296).

102044240430 is an abundant number, since it is smaller than the sum of its proper divisors (169667022162).

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

102044240430 is a wasteful number, since it uses less digits than its factorization.

102044240430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262862 (or 262851 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102044240430 its reverse (34042440201), we get a palindrome (136086680631).

The spelling of 102044240430 in words is "one hundred two billion, forty-four million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 121 165 214 242 321 330 363 535 605 642 726 1070 1177 1210 1605 1815 2354 3210 3531 3630 5885 7062 11770 12947 17655 25894 35310 38841 64735 77682 129470 194205 262723 388410 525446 788169 1313615 1576338 2627230 2889953 3940845 5779906 7881690 8669859 14449765 17339718 28111361 28899530 31789483 43349295 56222722 63578966 84334083 86698590 95368449 140556805 158947415 168668166 190736898 281113610 309224971 317894830 421670415 476842245 618449942 843340830 927674913 953684490 1546124855 1855349826 3092249710 3401474681 4638374565 6802949362 9276749130 10204424043 17007373405 20408848086 34014746810 51022120215 102044240430