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102111444344 = 23713613796067
BaseRepresentation
bin101111100011001010…
…0001111110101111000
3100202120022200211101002
41133012110033311320
53133111012204334
6114524230344132
710243262645630
oct1370624176570
9322508624332
10102111444344
113a33a280528
1217958abb048
1398240a66b0
144d296496c0
1529c97b2b7e
hex17c650fd78

102111444344 has 128 divisors (see below), whose sum is σ = 240176294400. Its totient is φ = 39622141440.

The previous prime is 102111444307. The next prime is 102111444361. The reversal of 102111444344 is 443444111201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16827599 + ... + 16833665.

It is an arithmetic number, because the mean of its divisors is an integer number (1876377300).

Almost surely, 2102111444344 is an apocalyptic number.

102111444344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120088147200).

102111444344 is an abundant number, since it is smaller than the sum of its proper divisors (138064850056).

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

102111444344 is a wasteful number, since it uses less digits than its factorization.

102111444344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 102111444344 its reverse (443444111201), we get a palindrome (545555555545).

The spelling of 102111444344 in words is "one hundred two billion, one hundred eleven million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 182 244 364 379 427 488 728 758 793 854 1516 1586 1708 2653 3032 3172 3416 4927 5306 5551 6067 6344 9854 10612 11102 12134 19708 21224 22204 23119 24268 34489 39416 42469 44408 46238 48536 68978 78871 84938 92476 137956 157742 161833 169876 184952 275912 300547 315484 323666 339752 370087 552097 601094 630968 647332 740174 1104194 1202188 1294664 1480348 2103829 2208388 2299393 2404376 2590609 2960696 4207658 4416776 4598786 4811131 5181218 8415316 9197572 9622262 10362436 16095751 16830632 18395144 19244524 20724872 29892109 32191502 33677917 38489048 59784218 64383004 67355834 119568436 128766008 134711668 140262973 209244763 239136872 269423336 280525946 418489526 561051892 836979052 981840811 1122103784 1673958104 1823418649 1963681622 3646837298 3927363244 7293674596 7854726488 12763930543 14587349192 25527861086 51055722172 102111444344