Search a number
-
+
1021121112 = 233118346601
BaseRepresentation
bin111100110111010…
…001001001011000
32122011102022211110
4330313101021120
54042401333422
6245154100320
734206246324
oct7467211130
92564368743
101021121112
1148443a450
12245b7a6a0
1313372399b
1499888984
155e9a460c
hex3cdd1258

1021121112 has 64 divisors (see below), whose sum is σ = 2818488960. Its totient is φ = 305696000.

The previous prime is 1021121063. The next prime is 1021121147. The reversal of 1021121112 is 2111211201.

1021121112 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 (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, 1389 + ... + 45212.

It is an arithmetic number, because the mean of its divisors is an integer number (44038890).

Almost surely, 21021121112 is an apocalyptic number.

1021121112 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 1021121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409244480).

1021121112 is an abundant number, since it is smaller than the sum of its proper divisors (1797367848).

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

1021121112 is a wasteful number, since it uses less digits than its factorization.

1021121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46704 (or 46700 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1021121112 is about 31954.9857142825. The cubic root of 1021121112 is about 1006.9913773974.

Adding to 1021121112 its reverse (2111211201), we get a palindrome (3132332313).

The spelling of 1021121112 in words is "one billion, twenty-one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 664 913 996 1826 1992 2739 3652 5478 7304 10956 21912 46601 93202 139803 186404 279606 372808 512611 559212 1025222 1118424 1537833 2050444 3075666 3867883 4100888 6151332 7735766 11603649 12302664 15471532 23207298 30943064 42546713 46414596 85093426 92829192 127640139 170186852 255280278 340373704 510560556 1021121112