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11020001220020 = 22513434759207121
BaseRepresentation
bin1010000001011100101101…
…0000100001010110110100
31110000111112211110221010002
42200113023100201112310
52421022430303020040
635234304011050432
72215111621561202
oct240271320412664
943014484427102
1011020001220020
113569613441611
12129b900140a18
1361c2491380a0
142a1529a98072
151419c75b6a15
hexa05cb4215b4

11020001220020 has 96 divisors (see below), whose sum is σ = 25507223427840. Its totient is φ = 3973443102720.

The previous prime is 11020001220017. The next prime is 11020001220037. The reversal of 11020001220020 is 2002210002011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11020001219983 and 11020001220010.

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, 53102060 + ... + 53309180.

It is an arithmetic number, because the mean of its divisors is an integer number (265700244040).

Almost surely, 211020001220020 is an apocalyptic number.

11020001220020 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 11020001220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753611713920).

11020001220020 is an abundant number, since it is smaller than the sum of its proper divisors (14487222207820).

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

11020001220020 is a wasteful number, since it uses less digits than its factorization.

11020001220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211945 (or 211943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11020001220020 its reverse (2002210002011), we get a palindrome (13022211222031).

The spelling of 11020001220020 in words is "eleven trillion, twenty billion, one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 4759 5590 9518 11180 19036 23795 47590 61867 95180 123734 204637 207121 247468 309335 409274 414242 618670 818548 828484 1023185 1035605 1237340 2046370 2071210 2660281 2692573 4092740 4142420 5320562 5385146 8906203 10641124 10770292 13301405 13462865 17812406 26602810 26925730 35624812 44531015 53205620 53851460 89062030 115780639 178124060 231561278 463122556 578903195 985688839 1157806390 1971377678 2315612780 3942755356 4928444195 9856888390 12813954907 19713776780 25627909814 42384620077 51255819628 64069774535 84769240154 128139549070 169538480308 211923100385 256279098140 423846200770 551000061001 847692401540 1102000122002 2204000244004 2755000305005 5510000610010 11020001220020