Search a number
-
+
10021100202 = 23237151251397
BaseRepresentation
bin10010101010100110…
…11101101010101010
3221212101110122011100
421111103131222222
5131010400201302
64334214542230
7503221642401
oct112523355252
927771418140
1010021100202
1142827169a3
121b38067976
13c391975b9
146b0c96638
153d9b79d1c
hex2554ddaaa

10021100202 has 96 divisors (see below), whose sum is σ = 22593078144. Its totient is φ = 3207600000.

The previous prime is 10021100179. The next prime is 10021100237. The reversal of 10021100202 is 20200112001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25241868 + ... + 25242264.

It is an arithmetic number, because the mean of its divisors is an integer number (235344564).

Almost surely, 210021100202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296539072).

10021100202 is an abundant number, since it is smaller than the sum of its proper divisors (12571977942).

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

10021100202 is a wasteful number, since it uses less digits than its factorization.

10021100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021100202 its reverse (20200112001), we get a palindrome (30221212203).

The spelling of 10021100202 in words is "ten billion, twenty-one million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 151 222 251 302 333 397 453 502 666 753 794 906 1191 1359 1506 2259 2382 2718 3573 4518 5587 7146 9287 11174 14689 16761 18574 27861 29378 33522 37901 44067 50283 55722 59947 75802 83583 88134 99647 100566 113703 119894 132201 167166 179841 199294 227406 264402 298941 341109 359682 539523 597882 682218 896823 1079046 1402337 1793646 2218039 2804674 3686939 4207011 4436078 6654117 7373878 8414022 11060817 12621033 13308234 15046697 19962351 22121634 25242066 30093394 33182451 39924702 45140091 66364902 90280182 135420273 270840546 556727789 1113455578 1670183367 3340366734 5010550101 10021100202