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1021110012 = 2232132698111
BaseRepresentation
bin111100110111001…
…110011011111100
32122011101202121100
4330313032123330
54042401010022
6245153533100
734206202056
oct7467163374
92564352540
101021110012
1148443207a
12245b74190
1313371b910
14998848d6
155e9a11ac
hex3cdce6fc

1021110012 has 72 divisors (see below), whose sum is σ = 2790365760. Its totient is φ = 312981120.

The previous prime is 1021110007. The next prime is 1021110017. The reversal of 1021110012 is 2100111201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1021110007) and next prime (1021110017).

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 = 1021109976 and 1021110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021110017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121837 + ... + 129947.

It is an arithmetic number, because the mean of its divisors is an integer number (38755080).

Almost surely, 21021110012 is an apocalyptic number.

1021110012 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 1021110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395182880).

1021110012 is an abundant number, since it is smaller than the sum of its proper divisors (1769255748).

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

1021110012 is a wasteful number, since it uses less digits than its factorization.

1021110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403 (or 8398 counting only the distinct ones).

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

The square root of 1021110012 is about 31954.8120319929. The cubic root of 1021110012 is about 1006.9877285828.

Adding to 1021110012 its reverse (2100111201), we get a palindrome (3121221213).

The spelling of 1021110012 in words is "one billion, twenty-one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 269 468 538 807 1076 1614 2421 3228 3497 4842 6994 8111 9684 10491 13988 16222 20982 24333 31473 32444 41964 48666 62946 72999 97332 105443 125892 145998 210886 291996 316329 421772 632658 948987 1265316 1897974 2181859 3795948 4363718 6545577 8727436 13091154 19636731 26182308 28364167 39273462 56728334 78546924 85092501 113456668 170185002 255277503 340370004 510555006 1021110012