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102230020000 = 255415133851
BaseRepresentation
bin101111100110101100…
…0100100111110100000
3100202212120211002121001
41133031120210332200
53133331341120000
6114544104041344
710246232555353
oct1371530447640
9322776732531
10102230020000
113a3a01aa139
1217990763254
1398428221c4
144d3b2b429a
1529d4dd646a
hex17cd624fa0

102230020000 has 120 divisors (see below), whose sum is σ = 253174233312. Its totient is φ = 40620000000.

The previous prime is 102230019989. The next prime is 102230020001. The reversal of 102230020000 is 20032201.

102230020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102230020001) 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 19 ways as a sum of consecutive naturals, for example, 3003075 + ... + 3036925.

Almost surely, 2102230020000 is an apocalyptic number.

102230020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102230020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126587116656).

102230020000 is an abundant number, since it is smaller than the sum of its proper divisors (150944213312).

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

102230020000 is an equidigital number, since it uses as much as digits as its factorization.

102230020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34032 (or 34009 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 102230020000 its reverse (20032201), we get a palindrome (102250052201).

The spelling of 102230020000 in words is "one hundred two billion, two hundred thirty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 151 160 200 250 302 400 500 604 625 755 800 1000 1208 1250 1510 2000 2416 2500 3020 3775 4000 4832 5000 6040 7550 10000 12080 15100 18875 20000 24160 30200 33851 37750 60400 67702 75500 94375 120800 135404 151000 169255 188750 270808 302000 338510 377500 541616 604000 677020 755000 846275 1083232 1354040 1510000 1692550 2708080 3020000 3385100 4231375 5111501 5416160 6770200 8462750 10223002 13540400 16925500 20446004 21156875 25557505 27080800 33851000 40892008 42313750 51115010 67702000 81784016 84627500 102230020 127787525 135404000 163568032 169255000 204460040 255575050 338510000 408920080 511150100 638937625 677020000 817840160 1022300200 1277875250 2044600400 2555750500 3194688125 4089200800 5111501000 6389376250 10223002000 12778752500 20446004000 25557505000 51115010000 102230020000