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100110220121212 = 227192273391244463
BaseRepresentation
bin10110110000110010111010…
…000110111101010001111100
3111010110102222100220211012021
4112300302322012331101330
5101110201212322334322
6552530000014245524
730041503402542430
oct2660627206752174
9433412870824167
10100110220121212
1129997562432644
12b28a0461b68a4
1343b2479123792
141aa15093349c0
15b8916ad984c7
hex5b0cba1bd47c

100110220121212 has 96 divisors (see below), whose sum is σ = 211750101319680. Its totient is φ = 40455097202880.

The previous prime is 100110220121179. The next prime is 100110220121251. The reversal of 100110220121212 is 212121022011001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409388493 + ... + 409632955.

It is an arithmetic number, because the mean of its divisors is an integer number (2205730222080).

Almost surely, 2100110220121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110220121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105875050659840).

100110220121212 is an abundant number, since it is smaller than the sum of its proper divisors (111639881198468).

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

100110220121212 is a wasteful number, since it uses less digits than its factorization.

100110220121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248111 (or 248109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100110220121212 its reverse (212121022011001), we get a palindrome (312231242132213).

The spelling of 100110220121212 in words is "one hundred trillion, one hundred ten billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 227 266 454 532 908 1589 3178 3391 4313 6356 6782 8626 13564 17252 23737 30191 47474 60382 64429 94948 120764 128858 244463 257716 451003 488926 769757 902006 977852 1539514 1711241 1804012 3079028 3422482 4644797 5388299 6844964 9289594 10776598 14625383 18579188 21553196 29250766 32513579 55493101 58501532 65027158 102377681 110986202 130054316 204755362 221972404 388451707 409510724 776903414 828974033 1054368919 1553806828 1657948066 2108737838 3315896132 4217475676 5802818231 7380582433 11605636462 14761164866 15750506627 23211272924 29522329732 31501013254 63002026508 110253546389 188177105491 220507092778 376354210982 441014185556 752708421964 1317239738437 2634479476874 3575365004329 5268958953748 7150730008658 14301460017316 25027555030303 50055110060606 100110220121212