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13905208100 = 2252731640793
BaseRepresentation
bin11001111001101000…
…01010001100100100
31022220002002202112102
430330310022030210
5211434213124400
610215444511232
71001404214210
oct147464121444
938802082472
1013905208100
115996144723
1228409ab518
131407a9cab4
1495ca7d940
15565b5b9d5
hex33cd0a324

13905208100 has 72 divisors (see below), whose sum is σ = 35597388288. Its totient is φ = 4613702400.

The previous prime is 13905208099. The next prime is 13905208103. The reversal of 13905208100 is 180250931.

It is a super-2 number, since 2×139052081002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13905208103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298697 + ... + 342096.

Almost surely, 213905208100 is an apocalyptic number.

13905208100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13905208100 is an abundant number, since it is smaller than the sum of its proper divisors (21692180188).

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

13905208100 is a wasteful number, since it uses less digits than its factorization.

13905208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640845 (or 640838 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 13905208100 in words is "thirteen billion, nine hundred five million, two hundred eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 10850 21700 640793 1281586 2563172 3203965 4485551 6407930 8971102 12815860 16019825 17942204 19864583 22427755 32039650 39729166 44855510 64079300 79458332 89711020 99322915 112138775 139052081 198645830 224277550 278104162 397291660 448555100 496614575 556208324 695260405 993229150 1390520810 1986458300 2781041620 3476302025 6952604050 13905208100