Search a number
-
+
11020022202120 = 23354119111726921
BaseRepresentation
bin1010000001011100110010…
…0000100011111100001000
31110000111121021221221010220
42200113030200203330020
52421023001140431440
635234310040510040
72215112265120411
oct240271440437410
943014537857126
1011020022202120
113569624272798
12129b90717b320
1361c2505a3529
142a152c79a808
151419c935d8d0
hexa05cc823f08

11020022202120 has 128 divisors (see below), whose sum is σ = 34043723642880. Its totient is φ = 2851986944000.

The previous prime is 11020022202097. The next prime is 11020022202157. The reversal of 11020022202120 is 2120222002011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11020022202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4923741 + ... + 6803180.

It is an arithmetic number, because the mean of its divisors is an integer number (265966590960).

Almost surely, 211020022202120 is an apocalyptic number.

11020022202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020022202120 is an abundant number, since it is smaller than the sum of its proper divisors (23023701440760).

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

11020022202120 is a wasteful number, since it uses less digits than its factorization.

11020022202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11727167 (or 11727163 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11020022202120 its reverse (2120222002011), we get a palindrome (13140244204131).

The spelling of 11020022202120 in words is "eleven trillion, twenty billion, twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 191 205 246 328 382 410 492 573 615 764 820 955 984 1146 1230 1528 1640 1910 2292 2460 2865 3820 4584 4920 5730 7640 7831 11460 15662 22920 23493 31324 39155 46986 62648 78310 93972 117465 156620 187944 234930 313240 469860 939720 11726921 23453842 35180763 46907684 58634605 70361526 93815368 117269210 140723052 175903815 234538420 281446104 351807630 469076840 480803761 703615260 961607522 1407230520 1442411283 1923215044 2239841911 2404018805 2884822566 3846430088 4479683822 4808037610 5769645132 6719525733 7212056415 8959367644 9616075220 11199209555 11539290264 13439051466 14424112830 17918735288 19232150440 22398419110 26878102932 28848225660 33597628665 44796838220 53756205864 57696451320 67195257330 89593676440 91833518351 134390514660 183667036702 268781029320 275500555053 367334073404 459167591755 551001110106 734668146808 918335183510 1102002220212 1377502775265 1836670367020 2204004440424 2755005550530 3673340734040 5510011101060 11020022202120