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21110210122000 = 245317620888533
BaseRepresentation
bin1001100110011000110101…
…00100110101000100010000
32202202010010211200012201011
410303030122210311010100
510231332202242401000
6112521521402020304
74306106454243646
oct463143244650420
982663124605634
1021110210122000
1167a98762a988a
12244b3727a7694
13ba18b84689cc
1452da4d743196
152691d1d9d2ba
hex13331a935110

21110210122000 has 80 divisors (see below), whose sum is σ = 54047105107632. Its totient is φ = 7947373209600.

The previous prime is 21110210121937. The next prime is 21110210122003. The reversal of 21110210122000 is 22101201112.

It can be written as a sum of positive squares in 8 ways, for example, as 4409714404624 + 16700495717376 = 2099932^2 + 4086624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21110210122003) 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, 310410267 + ... + 310478266.

Almost surely, 221110210122000 is an apocalyptic number.

21110210122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110210122000 is an abundant number, since it is smaller than the sum of its proper divisors (32936894985632).

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

21110210122000 is a wasteful number, since it uses less digits than its factorization.

21110210122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620888573 (or 620888557 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21110210122000 its reverse (22101201112), we get a palindrome (21132311323112).

The spelling of 21110210122000 in words is "twenty-one trillion, one hundred ten billion, two hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 620888533 1241777066 2483554132 3104442665 4967108264 6208885330 9934216528 10555105061 12417770660 15522213325 21110210122 24835541320 31044426650 42220420244 49671082640 52775525305 62088853300 77611066625 84440840488 105551050610 124177706600 155222133250 168881680976 211102101220 248355413200 263877626525 310444266500 422204202440 527755253050 620888533000 844408404880 1055510506100 1241777066000 1319388132625 2111021012200 2638776265250 4222042024400 5277552530500 10555105061000 21110210122000