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102240411030 = 23352631439803
BaseRepresentation
bin101111100111000000…
…0001101110110010110
3100202220022101000102000
41133032000031312112
53133342021123110
6114545114500130
710246420104042
oct1371600156626
9322808330360
10102240411030
113a3a605706a
1217994134646
139844a1ca44
144d3c81b022
1529d5c8a1c0
hex17ce00dd96

102240411030 has 64 divisors (see below), whose sum is σ = 273677944320. Its totient is φ = 27160424928.

The previous prime is 102240411017. The next prime is 102240411071. The reversal of 102240411030 is 30114042201.

102240411030 is a `hidden beast` number, since 1 + 0 + 224 + 0 + 411 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102240410994 and 102240411012.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 648892 + ... + 790911.

It is an arithmetic number, because the mean of its divisors is an integer number (4276217880).

Almost surely, 2102240411030 is an apocalyptic number.

102240411030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102240411030 is an abundant number, since it is smaller than the sum of its proper divisors (171437533290).

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

102240411030 is a wasteful number, since it uses less digits than its factorization.

102240411030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440082 (or 1440076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102240411030 its reverse (30114042201), we get a palindrome (132354453231).

The spelling of 102240411030 in words is "one hundred two billion, two hundred forty million, four hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 263 270 526 789 1315 1578 2367 2630 3945 4734 7101 7890 11835 14202 23670 35505 71010 1439803 2879606 4319409 7199015 8638818 12958227 14398030 21597045 25916454 38874681 43194090 64791135 77749362 129582270 194373405 378668189 388746810 757336378 1136004567 1893340945 2272009134 3408013701 3786681890 5680022835 6816027402 10224041103 11360045670 17040068505 20448082206 34080137010 51120205515 102240411030