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103509708225 = 3527311365791
BaseRepresentation
bin110000001100110101…
…0001100110111000001
3100220011202202222211020
41200121222030313001
53143441441130400
6115315100140053
710323032001000
oct1403152146701
9326152688736
10103509708225
113a997593910
1218089237629
1399b7997b81
14501d228c37
152a5c4132a0
hex1819a8cdc1

103509708225 has 96 divisors (see below), whose sum is σ = 217719398400. Its totient is φ = 43016904000.

The previous prime is 103509708223. The next prime is 103509708233. The reversal of 103509708225 is 522807905301.

It is a happy number.

It is not a de Polignac number, because 103509708225 - 21 = 103509708223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103509708223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100080 + ... + 465870.

It is an arithmetic number, because the mean of its divisors is an integer number (2267910400).

Almost surely, 2103509708225 is an apocalyptic number.

103509708225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103509708225 is an abundant number, since it is smaller than the sum of its proper divisors (114209690175).

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

103509708225 is a wasteful number, since it uses less digits than its factorization.

103509708225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365836 (or 365817 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 103509708225 in words is "one hundred three billion, five hundred nine million, seven hundred eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 343 385 525 539 735 825 1029 1155 1225 1617 1715 1925 2695 3675 3773 5145 5775 8085 8575 11319 13475 18865 25725 40425 56595 94325 282975 365791 1097373 1828955 2560537 4023701 5486865 7681611 9144775 12071103 12802685 17923759 20118505 27434325 28165907 38408055 53771277 60355515 64013425 84497721 89618795 100592525 125466313 140829535 192040275 197161349 268856385 301777575 376398939 422488605 448093975 591484047 627331565 704147675 985806745 1344281925 1380129443 1881994695 2112443025 2957420235 3136657825 4140388329 4929033725 6900647215 9409973475 14787101175 20701941645 34503236075 103509708225