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114205315700 = 225271011615351
BaseRepresentation
bin110101001011100101…
…0101101001001110100
3101220210011110011000102
41222113022231021310
53332343030100300
6124244252133232
711152054111040
oct1522712551164
9356704404012
10114205315700
1144485a18033
121a173167218
13aa008172a8
145755901020
152e863c70d5
hex1a972ad274

114205315700 has 72 divisors (see below), whose sum is σ = 286033609344. Its totient is φ = 38768400000.

The previous prime is 114205315687. The next prime is 114205315709. The reversal of 114205315700 is 7513502411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114205315709) 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, 736976 + ... + 878375.

Almost surely, 2114205315700 is an apocalyptic number.

114205315700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114205315700 is an abundant number, since it is smaller than the sum of its proper divisors (171828293644).

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

114205315700 is a wasteful number, since it uses less digits than its factorization.

114205315700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615473 (or 1615466 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 114205315700 in words is "one hundred fourteen billion, two hundred five million, three hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 1615351 3230702 6461404 8076755 11307457 16153510 22614914 32307020 40383775 45229828 56537285 80767550 113074570 161535100 163150451 226149140 282686425 326300902 565372850 652601804 815752255 1130745700 1142053157 1631504510 2284106314 3263009020 4078761275 4568212628 5710265785 8157522550 11420531570 16315045100 22841063140 28551328925 57102657850 114205315700