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11020121012010 = 23511471510147051
BaseRepresentation
bin1010000001011101001001…
…1001011111011100101010
31110000111212011212222211110
42200113102121133130222
52421023201434341020
635234323530411150
72215114605025035
oct240272231373452
943014764788743
1011020121012010
113569675021060
12129b934290ab6
1361c267bbb416
142a153b95c01c
151419d2d7a8e0
hexa05d265f72a

11020121012010 has 128 divisors (see below), whose sum is σ = 29469144895488. Its totient is φ = 2614474400000.

The previous prime is 11020121012009. The next prime is 11020121012023. The reversal of 11020121012010 is 1021012102011.

11020121012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234192985 + ... + 234240035.

It is an arithmetic number, because the mean of its divisors is an integer number (230227694496).

Almost surely, 211020121012010 is an apocalyptic number.

11020121012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020121012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734572447744).

11020121012010 is an abundant number, since it is smaller than the sum of its proper divisors (18449023883478).

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

11020121012010 is a wasteful number, since it uses less digits than its factorization.

11020121012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62220.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11020121012010 its reverse (1021012102011), we get a palindrome (12041133114021).

The spelling of 11020121012010 in words is "eleven trillion, twenty billion, one hundred twenty-one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 15101 15510 30202 45303 47051 75505 90606 94102 141153 151010 166111 226515 235255 282306 332222 453030 470510 498333 517561 705765 709747 830555 996666 1035122 1411530 1419494 1552683 1661110 2129241 2211397 2491665 2587805 3105366 3548735 4258482 4422794 4983330 5175610 6634191 7097470 7763415 7807217 10646205 11056985 13268382 15526830 15614434 21292410 22113970 23421651 24325367 33170955 39036085 46843302 48650734 66341910 72976101 78072170 117108255 121626835 145952202 234216510 243253670 364880505 710517151 729761010 1421034302 2131551453 3552585755 4263102906 7105171510 7815688661 10657757265 15631377322 21315514530 23447065983 33394306097 39078443305 46894131966 66788612194 78156886610 100182918291 117235329915 166971530485 200365836582 234470659830 333943060970 367337367067 500914591455 734674734134 1001829182910 1102012101201 1836686835335 2204024202402 3673373670670 5510060506005 11020121012010