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102240444300 = 22352340801481
BaseRepresentation
bin101111100111000000…
…0010101111110001100
3100202220022102201001020
41133032000111332030
53133342023204200
6114545115314140
710246420303041
oct1371600257614
9322808381036
10102240444300
113a3a607a065
121799414b950
139844a31c27
144d3c8291c8
1529d5c94ea0
hex17ce015f8c

102240444300 has 36 divisors (see below), whose sum is σ = 295815686376. Its totient is φ = 27264118400.

The previous prime is 102240444283. The next prime is 102240444301. The reversal of 102240444300 is 3444042201.

It is a happy number.

It is a super-2 number, since 2×1022404443002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102240444301) 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 11 ways as a sum of consecutive naturals, for example, 170400441 + ... + 170401040.

Almost surely, 2102240444300 is an apocalyptic number.

102240444300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102240444300 is an abundant number, since it is smaller than the sum of its proper divisors (193575242076).

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

102240444300 is a wasteful number, since it uses less digits than its factorization.

102240444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340801498 (or 340801491 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102240444300 its reverse (3444042201), we get a palindrome (105684486501).

The spelling of 102240444300 in words is "one hundred two billion, two hundred forty million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 340801481 681602962 1022404443 1363205924 1704007405 2044808886 3408014810 4089617772 5112022215 6816029620 8520037025 10224044430 17040074050 20448088860 25560111075 34080148100 51120222150 102240444300