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1011000212020 = 225277622929297
BaseRepresentation
bin11101011011001000100…
…11101111101000110100
310120122120100021002120001
432231210103233220310
5113031012023241040
62052240323121044
7133020346004011
oct16554423575064
93518510232501
101011000212020
1135a843299007
12143b31b13184
137444c268836
1436d0b370708
151b47234859a
hexeb644efa34

1011000212020 has 48 divisors (see below), whose sum is σ = 2131179881040. Its totient is φ = 402861717504.

The previous prime is 1011000212009. The next prime is 1011000212039. The reversal of 1011000212020 is 202120001101.

It can be written as a sum of positive squares in 8 ways, for example, as 20947351824 + 990052860196 = 144732^2 + 995014^2 .

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 = 1011000211988 and 1011000212006.

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, 34494012 + ... + 34523308.

It is an arithmetic number, because the mean of its divisors is an integer number (44399580855).

Almost surely, 21011000212020 is an apocalyptic number.

1011000212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011000212020 is an abundant number, since it is smaller than the sum of its proper divisors (1120179669020).

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

1011000212020 is a wasteful number, since it uses less digits than its factorization.

1011000212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35812 (or 35810 counting only the distinct ones).

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

Adding to 1011000212020 its reverse (202120001101), we get a palindrome (1213120213121).

The spelling of 1011000212020 in words is "one trillion, eleven billion, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 6229 12458 24916 29297 31145 58594 62290 117188 124580 146485 292970 585940 1725433 3450866 6901732 8115269 8627165 16230538 17254330 32461076 34508660 40576345 81152690 162305380 182491013 364982026 729964052 912455065 1824910130 3649820260 50550010601 101100021202 202200042404 252750053005 505500106010 1011000212020