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1020011412 = 2237372571277
BaseRepresentation
bin111100110011000…
…010001110010100
32122002022221121110
4330303002032110
54042110331122
6245114215020
734163645130
oct7463021624
92562287543
101020011412
11483851742
12245724470
13133425864
149967a3c0
155e83590c
hex3ccc2394

1020011412 has 96 divisors (see below), whose sum is σ = 2806610688. Its totient is φ = 282230784.

The previous prime is 1020011393. The next prime is 1020011413. The reversal of 1020011412 is 2141100201.

It is a happy number.

It is a super-2 number, since 2×10200114122 = 2080846561220467488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020011413) 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, 798118 + ... + 799394.

It is an arithmetic number, because the mean of its divisors is an integer number (29235528).

Almost surely, 21020011412 is an apocalyptic number.

1020011412 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 1020011412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403305344).

1020011412 is an abundant number, since it is smaller than the sum of its proper divisors (1786599276).

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

1020011412 is a wasteful number, since it uses less digits than its factorization.

1020011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1583 counting only the distinct ones).

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

The square root of 1020011412 is about 31937.6175066331. The cubic root of 1020011412 is about 1006.6264636567.

Adding to 1020011412 its reverse (2141100201), we get a palindrome (3161111613).

It can be divided in two parts, 10200 and 11412, that added together give a palindrome (21612).

The spelling of 1020011412 in words is "one billion, twenty million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 257 259 444 514 518 771 777 1028 1036 1277 1542 1554 1799 2554 3084 3108 3598 3831 5108 5397 7196 7662 8939 9509 10794 15324 17878 19018 21588 26817 28527 35756 38036 47249 53634 57054 66563 94498 107268 114108 133126 141747 188996 199689 266252 283494 328189 330743 399378 566988 656378 661486 798756 984567 992229 1312756 1322972 1969134 1984458 2297323 3938268 3968916 4594646 6891969 9189292 12142993 13783938 24285986 27567876 36428979 48571972 72857958 85000951 145715916 170001902 255002853 340003804 510005706 1020011412