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1112210040 = 2335174571193
BaseRepresentation
bin100001001001010…
…1111101001111000
32212111211010100110
41002102233221320
54234211210130
6302210304320
736363425604
oct10222575170
92774733313
101112210040
115208a4957
122705880a0
13149567466
14a79da504
1567998ab0
hex424afa78

1112210040 has 128 divisors (see below), whose sum is σ = 3543600960. Its totient is φ = 278298624.

The previous prime is 1112210027. The next prime is 1112210041. The reversal of 1112210040 is 400122111.

It is a happy number.

It is a super-2 number, since 2×11122100402 = 2474022346153603200, which 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 = 1112209998 and 1112210025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112210041) 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, 931684 + ... + 932876.

Almost surely, 21112210040 is an apocalyptic number.

1112210040 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 1112210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771800480).

1112210040 is an abundant number, since it is smaller than the sum of its proper divisors (2431390920).

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

1112210040 is a wasteful number, since it uses less digits than its factorization.

1112210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1112210040 is about 33349.8131928801. The cubic root of 1112210040 is about 1036.0855188966.

Adding to 1112210040 its reverse (400122111), we get a palindrome (1512332151).

The spelling of 1112210040 in words is "one billion, one hundred twelve million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 457 510 680 914 1020 1193 1371 1828 2040 2285 2386 2742 3579 3656 4570 4772 5484 5965 6855 7158 7769 9140 9544 10968 11930 13710 14316 15538 17895 18280 20281 23307 23860 27420 28632 31076 35790 38845 40562 46614 47720 54840 60843 62152 71580 77690 81124 93228 101405 116535 121686 143160 155380 162248 186456 202810 233070 243372 304215 310760 405620 466140 486744 545201 608430 811240 932280 1090402 1216860 1635603 2180804 2433720 2726005 3271206 4361608 5452010 6542412 8178015 9268417 10904020 13084824 16356030 18536834 21808040 27805251 32712060 37073668 46342085 55610502 65424120 74147336 92684170 111221004 139026255 185368340 222442008 278052510 370736680 556105020 1112210040