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11020203133002 = 23271515091137953
BaseRepresentation
bin1010000001011101011101…
…0010110000100001001010
31110000112001220102011122200
42200113113102300201022
52421023334000224002
635234340022501030
72215116623033610
oct240272722604112
943015056364580
1011020203133002
113569707410848
12129b957894776
1361c27bc1201b
142a15488176b0
151419da19cb1c
hexa05d74b084a

11020203133002 has 96 divisors (see below), whose sum is σ = 27522828552960. Its totient is φ = 3121629926400.

The previous prime is 11020203132959. The next prime is 11020203133039. The reversal of 11020203133002 is 20033130202011.

11020203133002 is a `hidden beast` number, since 1 + 10 + 20 + 20 + 313 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9115258 + ... + 10253210.

It is an arithmetic number, because the mean of its divisors is an integer number (286696130760).

Almost surely, 211020203133002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020203133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13761414276480).

11020203133002 is an abundant number, since it is smaller than the sum of its proper divisors (16502625419958).

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

11020203133002 is a wasteful number, since it uses less digits than its factorization.

11020203133002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138628 (or 1138625 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11020203133002 its reverse (20033130202011), we get a palindrome (31053333335013).

The spelling of 11020203133002 in words is "eleven trillion, twenty billion, two hundred three million, one hundred thirty-three thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 302 453 509 906 1018 1057 1359 1527 2114 2718 3054 3171 3563 4581 6342 7126 9162 9513 10689 19026 21378 32067 64134 76859 153718 230577 461154 538013 691731 1076026 1137953 1383462 1614039 2275906 3228078 3413859 4842117 6827718 7965671 9684234 10241577 15931342 20483154 23897013 47794026 71691039 143382078 171830903 343661806 515492709 579218077 1030985418 1158436154 1202816321 1546478127 1737654231 2405632642 3092956254 3475308462 3608448963 4054526539 5212962693 7216897926 8109053078 10425925386 10825346889 12163579617 21650693778 24327159234 36490738851 72981477702 87461929627 174923859254 262385788881 524771577762 612233507389 787157366643 1224467014778 1574314733286 1836700522167 3673401044334 5510101566501 11020203133002