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102221200222000 = 245373700145207
BaseRepresentation
bin10111001111100000111010…
…010100111110011100110000
3111101221020210012101221001121
4113033200322110332130300
5101344243004224101000
61001223434320112024
730350144430412606
oct2717407224763460
9441836705357047
10102221200222000
112a630849695792
12b56b1a1165614
134506557c45632
141b35765215876
15bc401c01db1a
hex5cf83a53e730

102221200222000 has 80 divisors (see below), whose sum is σ = 250556764715712. Its totient is φ = 40328363865600.

The previous prime is 102221200221991. The next prime is 102221200222091. The reversal of 102221200222000 is 222002122201.

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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349926604 + ... + 350218603.

Almost surely, 2102221200222000 is an apocalyptic number.

102221200222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221200222000 is an abundant number, since it is smaller than the sum of its proper divisors (148335564493712).

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

102221200222000 is an equidigital number, since it uses as much as digits as its factorization.

102221200222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700145303 (or 700145287 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102221200222000 its reverse (222002122201), we get a palindrome (102443202344201).

The spelling of 102221200222000 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 29200 36500 73000 146000 700145207 1400290414 2800580828 3500726035 5601161656 7001452070 11202323312 14002904140 17503630175 28005808280 35007260350 51110600111 56011616560 70014520700 87518150875 102221200222 140029041400 175036301750 204442400444 255553000555 280058082800 350072603500 408884800888 511106001110 700145207000 817769601776 1022212002220 1277765002775 1400290414000 2044424004440 2555530005550 4088848008880 5111060011100 6388825013875 10222120022200 12777650027750 20444240044400 25555300055500 51110600111000 102221200222000