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102104410200 = 233521313090309
BaseRepresentation
bin101111100010111100…
…1011010100001011000
3100202112211110110100020
41133011321122201120
53133102212111300
6114523415510440
710243146111132
oct1370571324130
9322484413306
10102104410200
113a336306691
1217956688420
1398227b2a90
144d28738052
1529c8d738a0
hex17c5e5a858

102104410200 has 96 divisors (see below), whose sum is σ = 340871672400. Its totient is φ = 25133391360.

The previous prime is 102104410193. The next prime is 102104410201. The reversal of 102104410200 is 2014401201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102104410200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104410201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6537355 + ... + 6552954.

Almost surely, 2102104410200 is an apocalyptic number.

102104410200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102104410200 is an abundant number, since it is smaller than the sum of its proper divisors (238767262200).

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

102104410200 is a wasteful number, since it uses less digits than its factorization.

102104410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090341 (or 13090332 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102104410200 its reverse (2014401201), we get a palindrome (104118811401).

The spelling of 102104410200 in words is "one hundred two billion, one hundred four million, four hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 13090309 26180618 39270927 52361236 65451545 78541854 104722472 130903090 157083708 170174017 196354635 261806180 314167416 327257725 340348034 392709270 510522051 523612360 654515450 680696068 785418540 850870085 981773175 1021044102 1309030900 1361392136 1570837080 1701740170 1963546350 2042088204 2552610255 2618061800 3403480340 3927092700 4084176408 4254350425 5105220510 6806960680 7854185400 8508700850 10210441020 12763051275 17017401700 20420882040 25526102550 34034803400 51052205100 102104410200