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102300222000 = 2435317050037
BaseRepresentation
bin101111101000110010…
…0011000001000110000
3100210001110220201122010
41133101210120020300
53134002324101000
6114555052442520
710251044353044
oct1372144301060
9323043821563
10102300222000
113a426898a19
12179b0179440
139854231952
144d4674a024
1529db151d50
hex17d1918230

102300222000 has 80 divisors (see below), whose sum is σ = 329815935072. Its totient is φ = 27280057600.

The previous prime is 102300221981. The next prime is 102300222007. The reversal of 102300222000 is 222003201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102300222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8519019 + ... + 8531018.

Almost surely, 2102300222000 is an apocalyptic number.

102300222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102300222000 is an abundant number, since it is smaller than the sum of its proper divisors (227515713072).

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

102300222000 is a wasteful number, since it uses less digits than its factorization.

102300222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17050063 (or 17050047 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102300222000 its reverse (222003201), we get a palindrome (102522225201).

The spelling of 102300222000 in words is "one hundred two billion, three hundred million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 17050037 34100074 51150111 68200148 85250185 102300222 136400296 170500370 204600444 255750555 272800592 341000740 409200888 426250925 511501110 682001480 818401776 852501850 1023002220 1278752775 1364002960 1705003700 2046004440 2131254625 2557505550 3410007400 4092008880 4262509250 5115011100 6393763875 6820014800 8525018500 10230022200 12787527750 17050037000 20460044400 25575055500 34100074000 51150111000 102300222000