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1011012312 = 233536711863
BaseRepresentation
bin111100010000101…
…101001011011000
32121110101202011110
4330100231023120
54032304343222
6244153300320
734024314522
oct7420551330
92543352143
101011012312
11479765572
122427046a0
131315c474b
14983b6a12
155db5930c
hex3c42d2d8

1011012312 has 64 divisors (see below), whose sum is σ = 2613876480. Its totient is φ = 325683072.

The previous prime is 1011012307. The next prime is 1011012341. The reversal of 1011012312 is 2132101101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79293 + ... + 91155.

It is an arithmetic number, because the mean of its divisors is an integer number (40841820).

Almost surely, 21011012312 is an apocalyptic number.

1011012312 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 1011012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306938240).

1011012312 is an abundant number, since it is smaller than the sum of its proper divisors (1602864168).

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

1011012312 is a wasteful number, since it uses less digits than its factorization.

1011012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11992 (or 11988 counting only the distinct ones).

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

The square root of 1011012312 is about 31796.4197984616. The cubic root of 1011012312 is about 1003.6573779457.

Adding to 1011012312 its reverse (2132101101), we get a palindrome (3143113413).

It can be divided in two parts, 10110 and 12312, that added together give a palindrome (22422).

The spelling of 1011012312 in words is "one billion, eleven million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 67 106 134 159 201 212 268 318 402 424 536 636 804 1272 1608 3551 7102 10653 11863 14204 21306 23726 28408 35589 42612 47452 71178 85224 94904 142356 284712 628739 794821 1257478 1589642 1886217 2384463 2514956 3179284 3772434 4768926 5029912 6358568 7544868 9537852 15089736 19075704 42125513 84251026 126376539 168502052 252753078 337004104 505506156 1011012312