Search a number
-
+
11020330132130 = 2511253811211891
BaseRepresentation
bin1010000001011101111011…
…0111001110001010100010
31110000112101202101101201002
42200113132313032022202
52421024114003212010
635234400400512002
72215123024355504
oct240273667161242
943015352341632
1011020330132130
113569772073100
12129b99231b602
1361c29c319937
142a155b635d74
151419e63d71a5
hexa05dedce2a2

11020330132130 has 96 divisors (see below), whose sum is σ = 22242750755904. Its totient is φ = 3926914992000.

The previous prime is 11020330132109. The next prime is 11020330132151. The reversal of 11020330132130 is 3123103302011.

11020330132130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11020330132109) and next prime (11020330132151).

It is a super-2 number, since 2×110203301321302 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51903485 + ... + 52115375.

It is an arithmetic number, because the mean of its divisors is an integer number (231695320374).

Almost surely, 211020330132130 is an apocalyptic number.

11020330132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11020330132130 is an abundant number, since it is smaller than the sum of its proper divisors (11222420623774).

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

11020330132130 is a wasteful number, since it uses less digits than its factorization.

11020330132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212784 (or 212773 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11020330132130 its reverse (3123103302011), we get a palindrome (14143433434141).

The spelling of 11020330132130 in words is "eleven trillion, twenty billion, three hundred thirty million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 53 55 106 110 121 242 265 530 583 605 811 1166 1210 1622 2915 4055 5830 6413 8110 8921 12826 17842 32065 42983 44605 64130 85966 89210 98131 196262 211891 214915 423782 429830 472813 490655 945626 981310 1059455 2118910 2330801 2364065 4661602 4728130 5200943 10401886 11230223 11654005 22460446 23308010 25638811 26004715 51277622 52009430 56151115 112302230 123532453 128194055 171843601 247064906 256388110 343687202 617662265 859218005 1235324530 1358856983 1718436010 1890279611 2717713966 3780559222 6794284915 9107710853 9451398055 13588569830 18215421706 18902796110 20793075721 41586151442 45538554265 91077108530 100184819383 103965378605 200369638766 207930757210 500924096915 1001848193830 1102033013213 2204066026426 5510165066065 11020330132130