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102002220200 = 23521731967763
BaseRepresentation
bin101111011111111001…
…1100101110010101000
3100202021201011200000102
41132333303211302220
53132400032021300
6114505325324532
710240465365116
oct1367763456250
9322251150012
10102002220200
113a293659841
1217928406748
13980758351a
144d18d36ab6
1529bedda0d5
hex17bfce5ca8

102002220200 has 96 divisors (see below), whose sum is σ = 259205909760. Its totient is φ = 37162060800.

The previous prime is 102002220193. The next prime is 102002220211. The reversal of 102002220200 is 2022200201.

It is an unprimeable number.

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, 378482 + ... + 589281.

It is an arithmetic number, because the mean of its divisors is an integer number (2700061560).

Almost surely, 2102002220200 is an apocalyptic number.

102002220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002220200 is an abundant number, since it is smaller than the sum of its proper divisors (157203689560).

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

102002220200 is a wasteful number, since it uses less digits than its factorization.

102002220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967827 (or 967818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102002220200 its reverse (2022200201), we get a palindrome (104024420401).

The spelling of 102002220200 in words is "one hundred two billion, two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 310 340 425 527 620 680 775 850 1054 1240 1550 1700 2108 2635 3100 3400 4216 5270 6200 10540 13175 21080 26350 52700 105400 967763 1935526 3871052 4838815 7742104 9677630 16451971 19355260 24194075 30000653 32903942 38710520 48388150 60001306 65807884 82259855 96776300 120002612 131615768 150003265 164519710 193552600 240005224 300006530 329039420 411299275 510011101 600013060 658078840 750016325 822598550 1020022202 1200026120 1500032650 1645197100 2040044404 2550055505 3000065300 3290394200 4080088808 5100111010 6000130600 10200222020 12750277525 20400444040 25500555050 51001110100 102002220200