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11021020121010 = 23523732029107837
BaseRepresentation
bin1010000001100000011111…
…1111010100011110110010
31110000121011211201110111210
42200120013333110132302
52421032022122333020
635234553045420550
72215146103233054
oct240300777243662
943017154643453
1011021020121010
113569a965a4a49
12129bb4540a756
1361c37c262393
142a15c51258d4
15141a36c7d3e0
hexa0607fd47b2

11021020121010 has 128 divisors (see below), whose sum is σ = 27992605294080. Its totient is φ = 2771257522176.

The previous prime is 11021020120853. The next prime is 11021020121047. The reversal of 11021020121010 is 1012102012011.

11021020121010 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, 102146812 + ... + 102254648.

It is an arithmetic number, because the mean of its divisors is an integer number (218692228860).

Almost surely, 211021020121010 is an apocalyptic number.

11021020121010 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 11021020121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996302647040).

11021020121010 is an abundant number, since it is smaller than the sum of its proper divisors (16971585173070).

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

11021020121010 is a wasteful number, since it uses less digits than its factorization.

11021020121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109972.

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

Adding to 11021020121010 its reverse (1012102012011), we get a palindrome (12033122133021).

The spelling of 11021020121010 in words is "eleven trillion, twenty-one billion, twenty million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 73 115 138 146 219 230 345 365 438 690 730 1095 1679 2029 2190 3358 4058 5037 6087 8395 10074 10145 12174 16790 20290 25185 30435 46667 50370 60870 93334 107837 140001 148117 215674 233335 280002 296234 323511 444351 466670 539185 647022 700005 740585 888702 1078370 1400010 1481170 1617555 2221755 2480251 3235110 3406691 4443510 4960502 6813382 7440753 7872101 10220073 12401255 14881506 15744202 17033455 20440146 23616303 24802510 34066910 37203765 39360505 47232606 51100365 74407530 78721010 102200730 118081515 181058323 218801273 236163030 362116646 437602546 543174969 656403819 905291615 1086349938 1094006365 1312807638 1810583230 2188012730 2715874845 3282019095 5032429279 5431749690 6564038190 10064858558 15097287837 15972492929 25162146395 30194575674 31944985858 47917478787 50324292790 75486439185 79862464645 95834957574 150972878370 159724929290 239587393935 367367337367 479174787870 734734674734 1102102012101 1836836686835 2204204024202 3673673373670 5510510060505 11021020121010