Search a number
-
+
2100022201002 = 23111715739730029
BaseRepresentation
bin11110100011110011000…
…100111100101010101010
321102202112011021010021010
4132203303010330222222
5233401321140413002
64244423055524350
7304502336120355
oct36436304745252
97382464233233
102100022201002
1173a68386a920
1229abb92296b6
13123053847cab
14738da84d29c
153995e15046c
hex1e8f313caaa

2100022201002 has 128 divisors (see below), whose sum is σ = 4894749699840. Its totient is φ = 593603112960.

The previous prime is 2100022200989. The next prime is 2100022201031. The reversal of 2100022201002 is 2001022200012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69918124 + ... + 69948152.

It is an arithmetic number, because the mean of its divisors is an integer number (38240232030).

Almost surely, 22100022201002 is an apocalyptic number.

2100022201002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100022201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447374849920).

2100022201002 is an abundant number, since it is smaller than the sum of its proper divisors (2794727498838).

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

2100022201002 is a wasteful number, since it uses less digits than its factorization.

2100022201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30616.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2100022201002 its reverse (2001022200012), we get a palindrome (4101044401014).

The spelling of 2100022201002 in words is "two trillion, one hundred billion, twenty-two million, two hundred one thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 157 187 314 374 397 471 561 794 942 1122 1191 1727 2382 2669 3454 4367 5181 5338 6749 8007 8734 10362 13101 13498 16014 20247 26202 29359 30029 40494 58718 60058 62329 74239 88077 90087 124658 148478 176154 180174 186987 222717 330319 373974 445434 510493 660638 685619 990957 1020986 1059593 1371238 1531479 1981914 2056857 2119186 3062958 3178779 4113714 4714553 5615423 6357558 9429106 11230846 11655523 11921513 14143659 16846269 23311046 23843026 28287318 33692538 34966569 35764539 51860083 69933138 71529078 80147401 103720166 131136643 155580249 160294802 202665721 240442203 262273286 311160498 393409929 405331442 480884406 607997163 786819858 881621411 1215994326 1763242822 1871677541 2229322931 2644864233 3743355082 4458645862 5289728466 5615032623 6687968793 11230065246 13375937586 20588452951 31818518197 41176905902 61765358853 63637036394 95455554591 123530717706 190911109182 350003700167 700007400334 1050011100501 2100022201002