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4102115364102 = 2377914982910009
BaseRepresentation
bin111011101100011001001…
…000010000110100000110
3112112011021110202200012110
4323230121020100310012
51014202113013122402
612420252532401450
7602240146165650
oct73543110206406
915464243680173
104102115364102
1113417741aa068
12563026176286
13239a9b9452c2
141027872c96d0
1571a8ac9456c
hex3bb19210d06

4102115364102 has 128 divisors (see below), whose sum is σ = 9571161600000. Its totient is φ = 1147929449472.

The previous prime is 4102115364047. The next prime is 4102115364131. The reversal of 4102115364102 is 2014635112014.

It is a self number, because there is not a number n which added to its sum of digits gives 4102115364102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409837674 + ... + 409847682.

It is an arithmetic number, because the mean of its divisors is an integer number (74774700000).

Almost surely, 24102115364102 is an apocalyptic number.

4102115364102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102115364102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785580800000).

4102115364102 is an abundant number, since it is smaller than the sum of its proper divisors (5469046235898).

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

4102115364102 is a wasteful number, since it uses less digits than its factorization.

4102115364102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11078.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 4102115364102 in words is "four trillion, one hundred two billion, one hundred fifteen million, three hundred sixty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 79 149 158 237 298 447 474 553 829 894 1043 1106 1658 1659 2086 2487 3129 3318 4974 5803 6258 10009 11606 11771 17409 20018 23542 30027 34818 35313 60054 65491 70063 70626 82397 123521 130982 140126 164794 196473 210189 247042 247191 370563 392946 420378 458437 494382 741126 790711 864647 916874 1375311 1491341 1581422 1729294 2372133 2593941 2750622 2982682 4474023 4744266 5187882 5534977 8297461 8948046 9758159 10439387 11069954 16594922 16604931 19516318 20878774 24892383 29274477 31318161 33209862 49784766 58082227 58548954 62636322 68307113 116164454 117815939 136614226 174246681 204921339 235631878 348493362 353447817 409842678 655499419 706895634 824711573 1236321689 1310998838 1649423146 1966498257 2472643378 2474134719 3708965067 3932996514 4588495933 4948269438 7417930134 8654251823 9176991866 13765487799 17308503646 25962755469 27530975598 51925510938 97669413431 195338826862 293008240293 586016480586 683685894017 1367371788034 2051057682051 4102115364102