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1020012112 = 247191313659
BaseRepresentation
bin111100110011000…
…010011001010000
32122002022222120101
4330303002121100
54042110341422
6245114222144
734163650150
oct7463023120
92562288511
101020012112
11483852219
12245724954
13133425c82
149967a760
155e835c27
hex3ccc2650

1020012112 has 80 divisors (see below), whose sum is σ = 2396275200. Its totient is φ = 410866560.

The previous prime is 1020012107. The next prime is 1020012113. The reversal of 1020012112 is 2112100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020012113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276939 + ... + 280597.

It is an arithmetic number, because the mean of its divisors is an integer number (29953440).

Almost surely, 21020012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198137600).

1020012112 is an abundant number, since it is smaller than the sum of its proper divisors (1376263088).

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

1020012112 is a wasteful number, since it uses less digits than its factorization.

1020012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1020012112 is about 31937.6284654951. The cubic root of 1020012112 is about 1006.6266939281.

Adding to 1020012112 its reverse (2112100201), we get a palindrome (3132112313).

The spelling of 1020012112 in words is "one billion, twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 131 133 152 262 266 304 524 532 917 1048 1064 1834 2096 2128 2489 3659 3668 4978 7318 7336 9956 14636 14672 17423 19912 25613 29272 34846 39824 51226 58544 69521 69692 102452 139042 139384 204904 278084 278768 409808 479329 486647 556168 958658 973294 1112336 1917316 1946588 3355303 3834632 3893176 6710606 7669264 7786352 9107251 13421212 18214502 26842424 36429004 53684848 63750757 72858008 127501514 145716016 255003028 510006056 1020012112