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1012232112 = 243179117811
BaseRepresentation
bin111100010101010…
…110111110110000
32121112200201102020
4330111112332300
54033112411422
6244235351440
734040555013
oct7425267660
92545621366
101012232112
1147a418a71
12242bb2580
13131930a18
149861337a
155dcea95c
hex3c556fb0

1012232112 has 40 divisors (see below), whose sum is σ = 2629563840. Its totient is φ = 335522880.

The previous prime is 1012232101. The next prime is 1012232129. The reversal of 1012232112 is 2112322101.

It is a super-2 number, since 2×10122321122 = 2049227697127961088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012232091 and 1012232100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50314 + ... + 67497.

It is an arithmetic number, because the mean of its divisors is an integer number (65739096).

Almost surely, 21012232112 is an apocalyptic number.

1012232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012232112 is an abundant number, since it is smaller than the sum of its proper divisors (1617331728).

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

1012232112 is a wasteful number, since it uses less digits than its factorization.

1012232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118001 (or 117995 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1012232112 is about 31815.5954211138. The cubic root of 1012232112 is about 1004.0608577788.

Adding to 1012232112 its reverse (2112322101), we get a palindrome (3124554213).

The spelling of 1012232112 in words is "one billion, twelve million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 117811 235622 353433 471244 706866 942488 1413732 1884976 2827464 5654928 21088169 42176338 63264507 84352676 126529014 168705352 253058028 337410704 506116056 1012232112