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104310402345100 = 225271778711137967
BaseRepresentation
bin10111101101111010101000…
…011110100110100010001100
3111200022222101021210010210201
4113231322220132212202030
5102133010201000020400
61005503312020143244
730654115003432540
oct2755725036464214
9450288337703721
10104310402345100
113026687a836966
12b84807a837b24
134628575c10563
141ba8916a2ba20
15c0d5462c006a
hex5edea87a688c

104310402345100 has 144 divisors (see below), whose sum is σ = 274254908562432. Its totient is φ = 33617054499840.

The previous prime is 104310402344999. The next prime is 104310402345101. The reversal of 104310402345100 is 1543204013401.

104310402345100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (104310402345101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3796317 + ... + 14934283.

It is an arithmetic number, because the mean of its divisors is an integer number (1904547976128).

Almost surely, 2104310402345100 is an apocalyptic number.

104310402345100 is a gapful number since it is divisible by the number (10) 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 104310402345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137127454281216).

104310402345100 is an abundant number, since it is smaller than the sum of its proper divisors (169944506217332).

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

104310402345100 is a wasteful number, since it uses less digits than its factorization.

104310402345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138792 (or 11138785 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 104310402345100 its reverse (1543204013401), we get a palindrome (105853606358501).

The spelling of 104310402345100 in words is "one hundred four trillion, three hundred ten billion, four hundred two million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 787 850 1190 1574 1700 2380 2975 3148 3935 5509 5950 7870 11018 11900 13379 15740 19675 22036 26758 27545 39350 53516 55090 66895 78700 93653 110180 133790 137725 187306 267580 275450 334475 374612 468265 550900 668950 936530 1337900 1873060 2341325 4682650 9365300 11137967 22275934 44551868 55689835 77965769 111379670 155931538 189345439 222759340 278449175 311863076 378690878 389828845 556898350 757381756 779657690 946727195 1113796700 1325418073 1559315380 1893454390 1949144225 2650836146 3786908780 3898288450 4733635975 5301672292 6627090365 7796576900 8765580029 9467271950 13254180730 17531160058 18934543900 26508361460 33135451825 35062320116 43827900145 61359060203 66270903650 87655800290 122718120406 132541807300 149014860493 175311600580 219139500725 245436240812 298029720986 306795301015 438279001450 596059441972 613590602030 745074302465 876558002900 1043104023451 1227181204060 1490148604930 1533976505075 2086208046902 2980297209860 3067953010150 3725371512325 4172416093804 5215520117255 6135906020300 7450743024650 10431040234510 14901486049300 20862080469020 26077600586275 52155201172550 104310402345100