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1010110220020 = 22511103269165713
BaseRepresentation
bin11101011001011110100…
…00101100011011110100
310120120021022120211001101
432230233100230123310
5113022201204020040
62052012131335444
7132656321130106
oct16545720543364
93516238524041
101010110220020
1135a426981930
12143923a51584
1374339a67555
1436c6509b576
151b41e14709a
hexeb2f42c6f4

1010110220020 has 96 divisors (see below), whose sum is σ = 2345237556480. Its totient is φ = 362392258560.

The previous prime is 1010110220017. The next prime is 1010110220059. The reversal of 1010110220020 is 200220110101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010110219979 and 1010110220006.

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, 6012684 + ... + 6178396.

It is an arithmetic number, because the mean of its divisors is an integer number (24429557880).

Almost surely, 21010110220020 is an apocalyptic number.

1010110220020 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 1010110220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172618778240).

1010110220020 is an abundant number, since it is smaller than the sum of its proper divisors (1335127336460).

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

1010110220020 is a wasteful number, since it uses less digits than its factorization.

1010110220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166105 (or 166103 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010110220020 its reverse (200220110101), we get a palindrome (1210330330121).

The spelling of 1010110220020 in words is "one trillion, ten billion, one hundred ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 269 412 515 538 1030 1076 1133 1345 2060 2266 2690 2959 4532 5380 5665 5918 11330 11836 14795 22660 27707 29590 55414 59180 110828 138535 165713 277070 304777 331426 554140 609554 662852 828565 1219108 1523885 1657130 1822843 3047770 3314260 3645686 6095540 7291372 9114215 17068439 18228430 34136878 36456860 44576797 68273756 85342195 89153594 170684390 178307188 187752829 222883985 341368780 375505658 445767970 490344767 751011316 891535940 938764145 980689534 1877528290 1961379068 2451723835 3755056580 4591410091 4903447670 9182820182 9806895340 18365640364 22957050455 45914100910 50505511001 91828201820 101011022002 202022044004 252527555005 505055110010 1010110220020