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2212110011202 = 2371317316375347
BaseRepresentation
bin100000001100001100000…
…010000000101101000010
321211110211202020211210220
4200030030002000231002
5242220400130324302
64412121310403510
7315551101565130
oct40141402005502
97743752224726
102212110011202
11783172482703
122b887b200596
131307a7755540
14790d1028750
153c81e6a34bc
hex2030c080b42

2212110011202 has 128 divisors (see below), whose sum is σ = 5767398733824. Its totient is φ = 548914295808.

The previous prime is 2212110011179. The next prime is 2212110011203. The reversal of 2212110011202 is 2021100112122.

It is a super-2 number, since 2×22121100112022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2212110011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29321293 + ... + 29396639.

It is an arithmetic number, because the mean of its divisors is an integer number (45057802608).

Almost surely, 22212110011202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212110011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883699366912).

2212110011202 is an abundant number, since it is smaller than the sum of its proper divisors (3555288722622).

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

2212110011202 is a wasteful number, since it uses less digits than its factorization.

2212110011202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78552.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2212110011202 its reverse (2021100112122), we get a palindrome (4233210123324).

The spelling of 2212110011202 in words is "two trillion, two hundred twelve billion, one hundred ten million, eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 3163 4641 6326 9282 9489 18978 22141 41119 44282 53771 66423 75347 82238 107542 123357 132846 150694 161313 226041 246714 287833 322626 376397 452082 527429 575666 699023 752794 863499 979511 1054858 1129191 1280899 1398046 1582287 1726998 1959022 2097069 2258382 2561798 2938533 3164574 3842697 4194138 4893161 5877066 6856577 7685394 8966293 9786322 13713154 14679483 16651687 17932586 20569731 26898879 29358966 33303374 41139462 49955061 53797758 99910122 116561809 233123618 238322561 349685427 476645122 699370854 714967683 1429935366 1668257927 3098193293 3336515854 4051483537 5004773781 6196386586 8102967074 9294579879 10009547562 12154450611 18589159758 21687353051 24308901222 28360384759 43374706102 52669285981 56720769518 65062059153 85081154277 105338571962 130124118306 158007857943 170162308554 316015715886 368685001867 737370003734 1106055005601 2212110011202