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11022133020 = 22351313673821
BaseRepresentation
bin10100100001111100…
…00110011100011100
31001110011002101000220
422100332012130130
5140033131224040
65021414321340
7540065404413
oct122076063434
931404071026
1011022133020
114746785748
122177359250
1310686a6902
14767bd247a
154479b22d0
hex290f8671c

11022133020 has 96 divisors (see below), whose sum is σ = 31190455296. Its totient is φ = 2908089600.

The previous prime is 11022132991. The next prime is 11022133051. The reversal of 11022133020 is 2033122011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2882710 + ... + 2886530.

It is an arithmetic number, because the mean of its divisors is an integer number (324900576).

Almost surely, 211022133020 is an apocalyptic number.

11022133020 is a gapful number since it is divisible by the number (10) 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 11022133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595227648).

11022133020 is an abundant number, since it is smaller than the sum of its proper divisors (20168322276).

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

11022133020 is a wasteful number, since it uses less digits than its factorization.

11022133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11022133020 its reverse (2033122011), we get a palindrome (13055255031).

The spelling of 11022133020 in words is "eleven billion, twenty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 367 393 524 655 734 786 1101 1310 1468 1572 1835 1965 2202 2620 3670 3821 3930 4404 5505 7340 7642 7860 11010 11463 15284 19105 22020 22926 38210 45852 48077 57315 76420 96154 114630 144231 192308 229260 240385 288462 480770 500551 576924 721155 961540 1001102 1402307 1442310 1501653 2002204 2502755 2804614 2884620 3003306 4206921 5005510 5609228 6006612 7011535 7508265 8413842 10011020 14023070 15016530 16827684 21034605 28046140 30033060 42069210 84138420 183702217 367404434 551106651 734808868 918511085 1102213302 1837022170 2204426604 2755533255 3674044340 5511066510 11022133020