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1100021112 = 2332193125939
BaseRepresentation
bin100000110010000…
…1111110101111000
32211122212212021200
41001210033311320
54223101133422
6301053134200
736155011431
oct10144176570
92748785250
101100021112
11514a2a163
1226848a360
13146b8a488
14a6146488
156688c2ac
hex4190fd78

1100021112 has 96 divisors (see below), whose sum is σ = 3237312000. Its totient is φ = 336156480.

The previous prime is 1100021107. The next prime is 1100021129. The reversal of 1100021112 is 2111200011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100021094 and 1100021103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29439 + ... + 55377.

It is an arithmetic number, because the mean of its divisors is an integer number (33722000).

Almost surely, 21100021112 is an apocalyptic number.

1100021112 is a gapful number since it is divisible by the number (12) 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 1100021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618656000).

1100021112 is an abundant number, since it is smaller than the sum of its proper divisors (2137290888).

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

1100021112 is a wasteful number, since it uses less digits than its factorization.

1100021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26001 (or 25994 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100021112 is about 33166.5661774022. The cubic root of 1100021112 is about 1032.2867195044.

Adding to 1100021112 its reverse (2111200011), we get a palindrome (3211221123).

The spelling of 1100021112 in words is "one billion, one hundred million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 3534 4712 5301 7068 10602 14136 21204 25939 42408 51878 77817 103756 155634 207512 233451 311268 466902 492841 622536 804109 933804 985682 1478523 1608218 1867608 1971364 2412327 2957046 3216436 3942728 4435569 4824654 5914092 6432872 7236981 8871138 9649308 11828184 14473962 15278071 17742276 19298616 28947924 30556142 35484552 45834213 57895848 61112284 91668426 122224568 137502639 183336852 275005278 366673704 550010556 1100021112