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100410314204442 = 23118949998334849
BaseRepresentation
bin10110110101001010011001…
…000111000010010100011010
3111011112010120102212202212110
4112311022121013002110122
5101130110310414020232
6553315510032053150
730102256122265164
oct2665123107022432
9434463512782773
10100410314204442
1129aa2858749a80
12b3182370941b6
1344048625a3a28
141ab1c56b67934
15b91d8193dacc
hex5b52991c251a

100410314204442 has 128 divisors (see below), whose sum is σ = 222214752000000. Its totient is φ = 29993790689280.

The previous prime is 100410314204441. The next prime is 100410314204527. The reversal of 100410314204442 is 244402413014001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100410314204441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2881279434 + ... + 2881314282.

It is an arithmetic number, because the mean of its divisors is an integer number (1736052750000).

Almost surely, 2100410314204442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100410314204442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111107376000000).

100410314204442 is an abundant number, since it is smaller than the sum of its proper divisors (121804437795558).

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

100410314204442 is a wasteful number, since it uses less digits than its factorization.

100410314204442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36436.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 100410314204442 its reverse (244402413014001), we get a palindrome (344812727218443).

The spelling of 100410314204442 in words is "one hundred trillion, four hundred ten billion, three hundred fourteen million, two hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 499 534 979 983 998 1497 1958 1966 2937 2949 2994 5489 5874 5898 10813 10978 16467 21626 32439 32934 34849 44411 64878 69698 87487 88822 104547 133233 174974 209094 262461 266466 383339 488521 490517 524922 766678 962357 977042 981034 1150017 1465563 1471551 1924714 2300034 2887071 2931126 2943102 3101561 5395687 5774142 6203122 9304683 10791374 16187061 17389651 18609366 32374122 34117171 34256567 34779302 43656013 52168953 68234342 68513134 87312026 102351513 102769701 104337906 130968039 191286161 204703026 205539402 261936078 376822237 382572322 480216143 573858483 753644474 960432286 1130466711 1147716966 1440648429 1547678939 2260933422 2881296858 3048834463 3095357878 4643036817 6097668926 9146503389 9286073634 17024468329 17094026933 18293006778 33537179093 34048936658 34188053866 51073404987 51282080799 67074358186 100611537279 102146809974 102564161598 188034296263 201223074558 376068592526 564102888789 1128205777578 1521368397037 3042736794074 4564105191111 9128210382222 16735052367407 33470104734814 50205157102221 100410314204442