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11102122021020 = 22353126772229691
BaseRepresentation
bin1010000110001110101000…
…0010100001000010011100
31110022100111222020212011020
42201203222002201002130
52423344121214133040
635340124444524140
72224046635063122
oct241435202410234
943270458225136
1011102122021020
1135a04244a3898
1212b37ba250650
13626c05761924
142a54ba375912
15143bd1d5acd0
hexa18ea0a109c

11102122021020 has 96 divisors (see below), whose sum is σ = 32100715186176. Its totient is φ = 2863992211200.

The previous prime is 11102122021013. The next prime is 11102122021021. The reversal of 11102122021020 is 2012022120111.

It is a super-2 number, since 2×111021220210202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102122021021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3864375 + ... + 6094065.

It is an arithmetic number, because the mean of its divisors is an integer number (334382449856).

Almost surely, 211102122021020 is an apocalyptic number.

11102122021020 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 11102122021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050357593088).

11102122021020 is an abundant number, since it is smaller than the sum of its proper divisors (20998593165156).

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

11102122021020 is a wasteful number, since it uses less digits than its factorization.

11102122021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232411 (or 2232409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11102122021020 its reverse (2012022120111), we get a palindrome (13114144141131).

Subtracting from 11102122021020 its reverse (2012022120111), we obtain a palindrome (9090099900909).

The spelling of 11102122021020 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2677 5354 8031 10708 13385 16062 26770 32124 40155 53540 80310 82987 160620 165974 248961 331948 414935 497922 829870 995844 1244805 1659740 2229691 2489610 4459382 4979220 6689073 8918764 11148455 13378146 22296910 26756292 33445365 44593820 66890730 69120421 133781460 138240842 207361263 276481684 345602105 414722526 691204210 829445052 1036806315 1382408420 2073612630 4147225260 5968882807 11937765614 17906648421 23875531228 29844414035 35813296842 59688828070 71626593684 89533242105 119377656140 179066484210 185035367017 358132968420 370070734034 555106101051 740141468068 925176835085 1110212202102 1850353670170 2220424404204 2775530505255 3700707340340 5551061010510 11102122021020