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212111123103330 = 2351127122441105691
BaseRepresentation
bin110000001110100111111000…
…001001010011111001100010
31000211000121212212102200212120
4300032213320021103321202
5210300212040003301310
62031042301005205110
762451344236166313
oct6016477011237142
91024017785380776
10212111123103330
11616489052a2430
121b958681b60796
139147cbaa58139
143a54339a1a60a
15197c76c9a3b70
hexc0e9f8253e62

212111123103330 has 128 divisors (see below), whose sum is σ = 557424843558912. Its totient is φ = 51228365760000.

The previous prime is 212111123103301. The next prime is 212111123103343. The reversal of 212111123103330 is 33301321111212.

It is a super-2 number, since 2×2121111231033302 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212111123103330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2006845785 + ... + 2006951475.

It is an arithmetic number, because the mean of its divisors is an integer number (4354881590304).

Almost surely, 2212111123103330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111123103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278712421779456).

212111123103330 is an abundant number, since it is smaller than the sum of its proper divisors (345313720455582).

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

212111123103330 is a wasteful number, since it uses less digits than its factorization.

212111123103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128424.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 212111123103330 its reverse (33301321111212), we get a palindrome (245412444214542).

The spelling of 212111123103330 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred twenty-three million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 271 330 542 813 1355 1626 2710 2981 4065 5962 8130 8943 14905 17886 22441 29810 44715 44882 67323 89430 105691 112205 134646 211382 224410 246851 317073 336615 493702 528455 634146 673230 740553 1056910 1162601 1234255 1481106 1585365 2325202 2468510 3170730 3487803 3702765 5813005 6081511 6975606 7405530 11626010 12163022 17439015 18244533 28642261 30407555 34878030 36489066 57284522 60815110 66896621 85926783 91222665 133793242 143211305 171853566 182445330 200689863 286422610 315064871 334483105 401379726 429633915 630129742 668966210 859267830 945194613 1003449315 1575324355 1890389226 2006898630 2371811731 3150648710 4725973065 4743623462 7115435193 9451946130 11859058655 14230870386 23718117310 26089929041 35577175965 52179858082 71154351930 78269787123 130449645205 156539574246 260899290410 391348935615 642760979101 782697871230 1285521958202 1928282937303 3213804895505 3856565874606 6427609791010 7070370770111 9641414686515 14140741540222 19282829373030 21211112310333 35351853850555 42422224620666 70703707701110 106055561551665 212111123103330