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101211221080 = 235176717312841
BaseRepresentation
bin101111001000010101…
…0001010110001011000
3100200020120202202012201
41132100222022301120
53124240033033310
6114255031415544
710212052120204
oct1362052126130
9320216682181
10101211221080
1139a18106462
12177475245b4
13970c7324c8
144c81c71b04
15297573ee3a
hex1790a8ac58

101211221080 has 128 divisors (see below), whose sum is σ = 246153401280. Its totient is φ = 37314478080.

The previous prime is 101211221057. The next prime is 101211221081. The reversal of 101211221080 is 80122112101.

It is a super-2 number, since 2×1012112210802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211221081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7875460 + ... + 7888300.

Almost surely, 2101211221080 is an apocalyptic number.

101211221080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211221080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123076700640).

101211221080 is an abundant number, since it is smaller than the sum of its proper divisors (144942180200).

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

101211221080 is a wasteful number, since it uses less digits than its factorization.

101211221080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13109 (or 13105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101211221080 its reverse (80122112101), we get a palindrome (181333333181).

The spelling of 101211221080 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 173 268 335 340 346 536 670 680 692 865 1139 1340 1384 1730 2278 2680 2941 3460 4556 5695 5882 6920 9112 11390 11591 11764 12841 14705 22780 23182 23528 25682 29410 45560 46364 51364 57955 58820 64205 92728 102728 115910 117640 128410 197047 218297 231820 256820 394094 436594 463640 513640 788188 860347 873188 985235 1091485 1576376 1720694 1746376 1970470 2182970 2221493 3441388 3940940 4301735 4365940 4442986 6882776 7881880 8603470 8731880 8885972 11107465 14625899 17206940 17771944 22214930 29251798 34413880 37765381 44429860 58503596 73129495 75530762 88859720 117007192 146258990 148840031 151061524 188826905 292517980 297680062 302123048 377653810 585035960 595360124 744200155 755307620 1190720248 1488400310 1510615240 2530280527 2976800620 5060561054 5953601240 10121122108 12651402635 20242244216 25302805270 50605610540 101211221080