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10022222102000 = 245316730006653
BaseRepresentation
bin1001000111010111101011…
…1111001111110111110000
31022111010002220000222222012
42101311322333033313300
52303201002324231000
633152051213502052
72053040002162553
oct221657277176760
938433086028865
1010022222102000
113214445109179
12115a459aa1928
135791260028c4
142691145a669a
15125a7ace4735
hex91d7afcfdf0

10022222102000 has 80 divisors (see below), whose sum is σ = 24378846028992. Its totient is φ = 3984883385600.

The previous prime is 10022222101993. The next prime is 10022222102003. The reversal of 10022222102000 is 20122222001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022222102003) 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, 14669327 + ... + 15337326.

Almost surely, 210022222102000 is an apocalyptic number.

10022222102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022222102000 is an abundant number, since it is smaller than the sum of its proper divisors (14356623926992).

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

10022222102000 is a wasteful number, since it uses less digits than its factorization.

10022222102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30006843 (or 30006827 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10022222102000 its reverse (20122222001), we get a palindrome (10042344324001).

The spelling of 10022222102000 in words is "ten trillion, twenty-two billion, two hundred twenty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 668 835 1000 1336 1670 2000 2672 3340 4175 6680 8350 13360 16700 20875 33400 41750 66800 83500 167000 334000 30006653 60013306 120026612 150033265 240053224 300066530 480106448 600133060 750166325 1200266120 1500332650 2400532240 3000665300 3750831625 5011111051 6001330600 7501663250 10022222102 12002661200 15003326500 20044444204 25055555255 30006653000 40088888408 50111110510 60013306000 80177776816 100222221020 125277776275 200444442040 250555552550 400888884080 501111105100 626388881375 1002222210200 1252777762750 2004444420400 2505555525500 5011111051000 10022222102000