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102240017700 = 22352569359863
BaseRepresentation
bin101111100110111111…
…0101101110100100100
3100202220021122000212020
41133031332231310210
53133341421031300
6114545102223140
710246413545232
oct1371576556444
9322807560766
10102240017700
113a3a59085a7
1217993b84ab0
1398449129c2
144d3c757952
1529d5c0d8a0
hex17cdfadd24

102240017700 has 72 divisors (see below), whose sum is σ = 295871354688. Its totient is φ = 27258760320.

The previous prime is 102240017699. The next prime is 102240017707. The reversal of 102240017700 is 7710042201.

It is not an unprimeable number, because it can be changed into a prime (102240017707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677969 + ... + 1737831.

Almost surely, 2102240017700 is an apocalyptic number.

102240017700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102240017700 is an abundant number, since it is smaller than the sum of its proper divisors (193631336988).

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

102240017700 is a wasteful number, since it uses less digits than its factorization.

102240017700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65573 (or 65566 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 102240017700 its reverse (7710042201), we get a palindrome (109950059901).

The spelling of 102240017700 in words is "one hundred two billion, two hundred forty million, seventeen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5693 11386 17079 22772 28465 34158 56930 59863 68316 85395 113860 119726 142325 170790 179589 239452 284650 299315 341580 359178 426975 569300 598630 718356 853950 897945 1197260 1496575 1707900 1795890 2993150 3591780 4489725 5986300 8979450 17958900 340800059 681600118 1022400177 1363200236 1704000295 2044800354 3408000590 4089600708 5112000885 6816001180 8520001475 10224001770 17040002950 20448003540 25560004425 34080005900 51120008850 102240017700