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1020020111121 = 3116710110634297
BaseRepresentation
bin11101101011111011110…
…11111011011100010001
310121111211221210110000010
432311331323323130101
5113203000122023441
62100331334545133
7133460022613644
oct16657573733421
93544757713003
101020020111121
11363651840780
1214582a8081a9
1375258b9533b
1437525285a5b
151b7ee156116
hexed7defb711

1020020111121 has 64 divisors (see below), whose sum is σ = 1522503714816. Its totient is φ = 602230464000.

The previous prime is 1020020111093. The next prime is 1020020111161. The reversal of 1020020111121 is 1211110200201.

It is not a de Polignac number, because 1020020111121 - 218 = 1020019848977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020020111097 and 1020020111106.

It is not an unprimeable number, because it can be changed into a prime (1020020111161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237377445 + ... + 237381741.

It is an arithmetic number, because the mean of its divisors is an integer number (23789120544).

Almost surely, 21020020111121 is an apocalyptic number.

1020020111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020020111121 is a deficient number, since it is larger than the sum of its proper divisors (502483603695).

1020020111121 is a wasteful number, since it uses less digits than its factorization.

1020020111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542.

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

Adding to 1020020111121 its reverse (1211110200201), we get a palindrome (2231130311322).

The spelling of 1020020111121 in words is "one trillion, twenty billion, twenty million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 11 33 67 101 201 303 737 1063 1111 2211 3189 3333 4297 6767 11693 12891 20301 35079 47267 71221 74437 107363 141801 213663 223311 287899 322089 433997 783431 863697 1180993 1301991 2350293 3166889 3542979 4567711 4773967 7193321 9500667 13703133 14321901 21579963 29077799 50244821 79126531 87233397 150734463 237379593 306036637 319855789 461338811 918109911 959567367 1384016433 3366403007 5074726921 10099209021 15224180763 30909700337 92729101011 340006703707 1020020111121