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10221111120 = 24351110138333
BaseRepresentation
bin10011000010011100…
…11100011101010000
3222101022211020120010
421201032130131100
5131413101023440
64410121514520
7511201003533
oct114116343520
928338736503
1010221111120
114375607080
121b93042a40
13c6b75685c
146cd67ca1a
153ec4d7580
hex26139c750

10221111120 has 160 divisors (see below), whose sum is σ = 34909087104. Its totient is φ = 2453248000.

The previous prime is 10221111101. The next prime is 10221111163. The reversal of 10221111120 is 2111112201.

It is a super-2 number, since 2×102211111202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10221111096 and 10221111105.

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, 247474 + ... + 285806.

Almost surely, 210221111120 is an apocalyptic number.

10221111120 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 10221111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454543552).

10221111120 is an abundant number, since it is smaller than the sum of its proper divisors (24687975984).

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

10221111120 is a wasteful number, since it uses less digits than its factorization.

10221111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38461 (or 38455 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221111120 its reverse (2111112201), we get a palindrome (12332223321).

The spelling of 10221111120 in words is "ten billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 38333 44440 53328 66660 76666 88880 114999 133320 153332 191665 229998 266640 306664 383330 421663 459996 574995 613328 766660 843326 919992 1149990 1264989 1533320 1686652 1839984 2108315 2299980 2529978 3066640 3373304 3871633 4216630 4599960 5059956 6324945 6746608 7743266 8433260 9199920 10119912 11614899 12649890 15486532 16866520 19358165 20239824 23229798 25299780 30973064 33733040 38716330 42587963 46459596 50599560 58074495 61946128 77432660 85175926 92919192 101199120 116148990 127763889 154865320 170351852 185838384 212939815 232297980 255527778 309730640 340703704 425879630 464595960 511055556 638819445 681407408 851759260 929191920 1022111112 1277638890 1703518520 2044222224 2555277780 3407037040 5110555560 10221111120