Search a number
-
+
1211033088 = 2932377103
BaseRepresentation
bin100100000101110…
…1110011000000000
310010101202212002100
41020023232120000
54440011024323
6320100350400
742003416466
oct11013563000
93111685070
101211033088
115716620a1
122996a5400
13163b88335
14b6ba2836
15714b9943
hex482ee600

1211033088 has 120 divisors (see below), whose sum is σ = 3590091648. Its totient is φ = 392712192.

The previous prime is 1211033081. The next prime is 1211033101. The reversal of 1211033088 is 8803301121.

It is a super-2 number, since 2×12110330882 = 2933202280461631488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211033081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166945 + ... + 174047.

Almost surely, 21211033088 is an apocalyptic number.

1211033088 is a gapful number since it is divisible by the number (18) 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 1211033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795045824).

1211033088 is an abundant number, since it is smaller than the sum of its proper divisors (2379058560).

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

1211033088 is an equidigital number, since it uses as much as digits as its factorization.

1211033088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1211033088 is about 34799.9006895135. The cubic root of 1211033088 is about 1065.9054179595.

The spelling of 1211033088 in words is "one billion, two hundred eleven million, thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1776 2304 2368 2664 3552 4608 4736 5328 7103 7104 9472 10656 14206 14208 18944 21309 21312 28412 28416 42618 42624 56824 56832 63927 85236 85248 113648 127854 170472 170496 227296 255708 262811 340944 454592 511416 525622 681888 788433 909184 1022832 1051244 1363776 1576866 1818368 2045664 2102488 2365299 2727552 3153732 3636736 4091328 4204976 4730598 5455104 6307464 8182656 8409952 9461196 10910208 12614928 16365312 16819904 18922392 25229856 32730624 33639808 37844784 50459712 67279616 75689568 100919424 134559232 151379136 201838848 302758272 403677696 605516544 1211033088