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104034101020 = 225373313491217
BaseRepresentation
bin110000011100011101…
…0100110011100011100
3100221112022111220111121
41200320322212130130
53201030212213040
6115443111500324
710342030160653
oct1407072463434
9327468456447
10104034101020
11401365a0993
12181b49876a4
139a6c510975
14506cb3019a
152a8d498c4a
hex1838ea671c

104034101020 has 96 divisors (see below), whose sum is σ = 225884433600. Its totient is φ = 40217886720.

The previous prime is 104034100999. The next prime is 104034101071. The reversal of 104034101020 is 20101430401.

It is a junction number, because it is equal to n+sod(n) for n = 104034100985 and 104034101003.

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, 85483452 + ... + 85484668.

It is an arithmetic number, because the mean of its divisors is an integer number (2352962850).

Almost surely, 2104034101020 is an apocalyptic number.

104034101020 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 104034101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112942216800).

104034101020 is an abundant number, since it is smaller than the sum of its proper divisors (121850332580).

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

104034101020 is a wasteful number, since it uses less digits than its factorization.

104034101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 104034101020 its reverse (20101430401), we get a palindrome (124135531421).

The spelling of 104034101020 in words is "one hundred four billion, thirty-four million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 331 349 370 662 698 740 1217 1324 1396 1655 1745 2434 3310 3490 4868 6085 6620 6980 12170 12247 12913 24340 24494 25826 45029 48988 51652 61235 64565 90058 115519 122470 129130 180116 225145 231038 244940 258260 402827 424733 450290 462076 577595 805654 849466 900580 1155190 1611308 1698932 2014135 2123665 2310380 4028270 4247330 4274203 8056540 8494660 8548406 14904599 15715121 17096812 21371015 29809198 31430242 42742030 59618396 62860484 74522995 78575605 85484060 140586623 149045990 157151210 281173246 298091980 314302420 562346492 702933115 1405866230 2811732460 5201705051 10403410102 20806820204 26008525255 52017050510 104034101020