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112010010202000 = 24531011417739113
BaseRepresentation
bin11001011101111101011100…
…110111101000111110010000
3112200121001102012100120201101
4121131331130313220332100
5104140133000102431000
61034120404402114144
732410312320400201
oct3135753467507620
9480531365316641
10112010010202000
11327651a6733999
121069035994b954
134a66663685781
141d9345604b5a8
15ce3986415e6a
hex65df5cde8f90

112010010202000 has 160 divisors (see below), whose sum is σ = 273548077811424. Its totient is φ = 44356136960000.

The previous prime is 112010010201997. The next prime is 112010010202007. The reversal of 112010010202000 is 202010010211.

It can be written as a sum of positive squares in 16 ways, for example, as 31146176927376 + 80863833274624 = 5580876^2 + 8992432^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112010010202007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2863734444 + ... + 2863773556.

Almost surely, 2112010010202000 is an apocalyptic number.

112010010202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010010202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136774038905712).

112010010202000 is an abundant number, since it is smaller than the sum of its proper divisors (161538067609424).

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

112010010202000 is a wasteful number, since it uses less digits than its factorization.

112010010202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53414 (or 53398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112010010202000 its reverse (202010010211), we get a palindrome (112212020212211).

The spelling of 112010010202000 in words is "one hundred twelve trillion, ten billion, ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 14177 20200 25250 28354 39113 40400 50500 56708 70885 78226 101000 113416 141770 156452 195565 202000 226832 283540 312904 354425 391130 567080 625808 708850 782260 977825 1134160 1417700 1431877 1564520 1772125 1955650 2835400 2863754 3129040 3544250 3911300 3950413 4889125 5670800 5727508 7088500 7159385 7822600 7900826 9778250 11455016 14177000 14318770 15645200 15801652 19556500 19752065 22910032 28354000 28637540 31603304 35796925 39113000 39504130 57275080 63206608 71593850 78226000 79008260 98760325 114550160 143187700 158016520 178984625 197520650 286375400 316033040 357969250 395041300 493801625 554505001 572750800 715938500 790082600 987603250 1109010002 1431877000 1580165200 1975206500 2218020004 2772525005 2863754000 3950413000 4436040008 5545050010 7900826000 8872080016 11090100020 13862625025 22180200040 27725250050 44360400080 55450500100 56005005101 69313125125 110901000200 112010010202 138626250250 221802000400 224020020404 277252500500 280025025505 448040040808 554505001000 560050051010 896080081616 1109010002000 1120100102020 1400125127525 2240200204040 2800250255050 4480400408080 5600500510100 7000625637625 11201001020200 14001251275250 22402002040400 28002502550500 56005005101000 112010010202000