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1021202011220 = 2251132771631261
BaseRepresentation
bin11101101110001000110…
…00100001010001010100
310121121220022202012010212
432313010120201101110
5113212410203324340
62101044515104552
7133531223605556
oct16670430412124
93547808665125
101021202011220
113640a8a04816
12145aba5a2158
13753b69c0201
14375d82234d6
151b86ccb8a65
hexedc4621454

1021202011220 has 48 divisors (see below), whose sum is σ = 2171314122768. Its totient is φ = 403404072960.

The previous prime is 1021202011211. The next prime is 1021202011261. The reversal of 1021202011220 is 221102021201.

It can be written as a sum of positive squares in 8 ways, for example, as 556211673616 + 464990337604 = 745796^2 + 681902^2 .

It is a super-3 number, since 3×10212020112203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021202011195 and 1021202011204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189611 + ... + 1441650.

It is an arithmetic number, because the mean of its divisors is an integer number (45235710891).

Almost surely, 21021202011220 is an apocalyptic number.

1021202011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021202011220 is an abundant number, since it is smaller than the sum of its proper divisors (1150112111548).

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

1021202011220 is a wasteful number, since it uses less digits than its factorization.

1021202011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631660 (or 1631658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021202011220 its reverse (221102021201), we get a palindrome (1242304032421).

The spelling of 1021202011220 in words is "one trillion, twenty-one billion, two hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 277 452 554 565 1108 1130 1385 2260 2770 5540 31301 62602 125204 156505 313010 626020 1631261 3262522 6525044 8156305 16312610 32625220 184332493 368664986 451859297 737329972 903718594 921662465 1807437188 1843324930 2259296485 3686649860 4518592970 9037185940 51060100561 102120201122 204240402244 255300502805 510601005610 1021202011220