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1021133412 = 2233136111923
BaseRepresentation
bin111100110111010…
…100001001100100
32122011102221201000
4330313110021210
54042402232122
6245154233300
734206330225
oct7467241144
92564387630
101021133412
11484448712
12245b85830
13133729470
149988d24c
155e9a80ac
hex3cdd4264

1021133412 has 96 divisors (see below), whose sum is σ = 2898008960. Its totient is φ = 309018240.

The previous prime is 1021133383. The next prime is 1021133419. The reversal of 1021133412 is 2143311201.

1021133412 is a `hidden beast` number, since 10 + 211 + 33 + 412 = 666.

1021133412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1021133419) 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, 79683 + ... + 91605.

Almost surely, 21021133412 is an apocalyptic number.

1021133412 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 1021133412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449004480).

1021133412 is an abundant number, since it is smaller than the sum of its proper divisors (1876875548).

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

1021133412 is a wasteful number, since it uses less digits than its factorization.

1021133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1021133412 is about 31955.1781719333. The cubic root of 1021133412 is about 1006.9954206475.

Adding to 1021133412 its reverse (2143311201), we get a palindrome (3164444613).

The spelling of 1021133412 in words is "one billion, twenty-one million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 468 549 702 732 793 1098 1404 1586 1647 2196 2379 3172 3294 4758 6588 7137 9516 11923 14274 21411 23846 28548 35769 42822 47692 71538 85644 107307 143076 154999 214614 309998 321921 429228 464997 619996 643842 727303 929994 1287684 1394991 1454606 1859988 2181909 2789982 2909212 4184973 4363818 5579964 6545727 8369946 8727636 9454939 13091454 16739892 18909878 19637181 26182908 28364817 37819756 39274362 56729634 78548724 85094451 113459268 170188902 255283353 340377804 510566706 1021133412