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1020211020020 = 225615417154373
BaseRepresentation
bin11101101100010010101…
…00001100000011110100
310121112100021000121210002
432312021110030003310
5113203343010120040
62100402314450432
7133464531405443
oct16661124140364
93545307017702
101020211020020
1136373a584425
12145882733a18
13752895b869a
143754277cd5a
151b810cb6a15
hexed8950c0f4

1020211020020 has 48 divisors (see below), whose sum is σ = 2177981256528. Its totient is φ = 401317800960.

The previous prime is 1020211020013. The next prime is 1020211020043. The reversal of 1020211020020 is 200201120201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 492722571364 + 527488448656 = 701942^2 + 726284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020211019983 and 1020211020010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6531554 + ... + 6685926.

It is an arithmetic number, because the mean of its divisors is an integer number (45374609511).

Almost surely, 21020211020020 is an apocalyptic number.

1020211020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020211020020 is an abundant number, since it is smaller than the sum of its proper divisors (1157770236508).

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

1020211020020 is a wasteful number, since it uses less digits than its factorization.

1020211020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159860 (or 159858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020211020020 its reverse (200201120201), we get a palindrome (1220412140221).

The spelling of 1020211020020 in words is "one trillion, twenty billion, two hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 5417 10834 21668 27085 54170 108340 154373 308746 330437 617492 660874 771865 1321748 1543730 1652185 3087460 3304370 6608740 9416753 18833506 37667012 47083765 94167530 188335060 836238541 1672477082 3344954164 4181192705 8362385410 16724770820 51010551001 102021102002 204042204004 255052755005 510105510010 1020211020020