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1111132200222 = 2321137219872063
BaseRepresentation
bin10000001010110100101…
…000111101110100011110
310221020000201021010120200
4100022310220331310132
5121201044320401342
62210240323124330
7143163614603532
oct20126450756436
93836021233520
101111132200222
11399257183870
1215b417b136a6
1380a1920b9b5
143bac9b4bbc2
151dd82e5594c
hex102b4a3dd1e

1111132200222 has 144 divisors (see below), whose sum is σ = 2701879794432. Its totient is φ = 327282949440.

The previous prime is 1111132200197. The next prime is 1111132200257. The reversal of 1111132200222 is 2220022311111.

1111132200222 is a `hidden beast` number, since 1 + 111 + 132 + 200 + 222 = 666.

It is a super-2 number, since 2×11111322002222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1111132200195 and 1111132200204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 538599163 + ... + 538601225.

It is an arithmetic number, because the mean of its divisors is an integer number (18763054128).

Almost surely, 21111132200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111132200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350939897216).

1111132200222 is an abundant number, since it is smaller than the sum of its proper divisors (1590747594210).

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

1111132200222 is a wasteful number, since it uses less digits than its factorization.

1111132200222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1111132200222 its reverse (2220022311111), we get a palindrome (3331154511333).

The spelling of 1111132200222 in words is "one trillion, one hundred eleven billion, one hundred thirty-two million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1369 1987 2063 2442 2738 3663 3974 4107 4126 5961 6189 7326 8214 11922 12321 12378 15059 17883 18567 21857 22693 24642 30118 35766 37134 43714 45177 45386 65571 68079 73519 76331 90354 131142 135531 136158 147038 152662 196713 204237 220557 228993 271062 393426 408474 441114 457986 661671 686979 808709 839641 1323342 1373958 1617418 1679282 2426127 2518923 2720203 2824247 4099181 4852254 5037846 5440406 5648494 7278381 7556769 8160609 8198362 8472741 12297543 14556762 15113538 16321218 16945482 24481827 24595086 25418223 29922233 31066717 36892629 45090991 48963654 50836446 59844466 62133434 73785258 89766699 90181982 93200151 135272973 151669697 179533398 186400302 269300097 270545946 279600453 303339394 405818919 455009091 538600194 559200906 811637838 910018182 1365027273 1668366667 2730054546 3336733334 5005100001 5611778789 10010200002 11223557578 15015300003 16835336367 30030600006 33670672734 50506009101 61729566679 101012018202 123459133358 185188700037 370377400074 555566100111 1111132200222