Search a number
-
+
1021000200200 = 235261836310007
BaseRepresentation
bin11101101101110000101…
…10101011000000001000
310121121101021000010110122
432312320112223000020
5113212002022401300
62101012505402412
7133523223336341
oct16667026530010
93547337003418
101021000200200
11364004aa5152
12145a62a99408
1375383c507c6
14375b94cd0c8
151b85a202c85
hexedb85ab008

1021000200200 has 96 divisors (see below), whose sum is σ = 2413270272960. Its totient is φ = 401616825600.

The previous prime is 1021000200191. The next prime is 1021000200203. The reversal of 1021000200200 is 20020001201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1021000200203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102023597 + ... + 102033603.

It is an arithmetic number, because the mean of its divisors is an integer number (25138232010).

Almost surely, 21021000200200 is an apocalyptic number.

1021000200200 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 1021000200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206635136480).

1021000200200 is an abundant number, since it is smaller than the sum of its proper divisors (1392270072760).

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

1021000200200 is a wasteful number, since it uses less digits than its factorization.

1021000200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18447 (or 18438 counting only the distinct ones).

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

Adding to 1021000200200 its reverse (20020001201), we get a palindrome (1041020201401).

The spelling of 1021000200200 in words is "one trillion, twenty-one billion, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 8363 10007 12200 16726 20014 33452 40028 41815 50035 66904 80056 83630 100070 167260 200140 209075 250175 334520 400280 418150 500350 510143 610427 836300 1000700 1020286 1220854 1672600 2001400 2040572 2441708 2550715 3052135 4081144 4883416 5101430 6104270 10202860 12208540 12753575 15260675 20405720 24417080 25507150 30521350 51014300 61042700 83688541 102028600 122085400 167377082 334754164 418442705 669508328 836885410 1673770820 2092213525 3347541640 4184427050 5105001001 8368854100 10210002002 16737708200 20420004004 25525005005 40840008008 51050010010 102100020020 127625025025 204200040040 255250050050 510500100100 1021000200200