Search a number
-
+
1021101001020 = 2232516193503881
BaseRepresentation
bin11101101101111100101…
…11001100100100111100
310121121122021200100012100
432312332113030210330
5113212203324013040
62101030510105100
7133525556205312
oct16667627144474
93547567610170
101021101001020
11364056993311
12145a907ab190
137539bab4969
14375c8a4c0b2
151b863eb4b30
hexedbe5cc93c

1021101001020 has 72 divisors (see below), whose sum is σ = 3099253706640. Its totient is φ = 272125336320.

The previous prime is 1021101001003. The next prime is 1021101001027. The reversal of 1021101001020 is 201001011201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021101000993 and 1021101001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021101001027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460521 + ... + 2043360.

It is an arithmetic number, because the mean of its divisors is an integer number (43045190370).

Almost surely, 21021101001020 is an apocalyptic number.

1021101001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021101001020 is an abundant number, since it is smaller than the sum of its proper divisors (2078152705620).

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

1021101001020 is a wasteful number, since it uses less digits than its factorization.

1021101001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505515 (or 3505510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021101001020 its reverse (201001011201), we get a palindrome (1222102012221).

The spelling of 1021101001020 in words is "one trillion, twenty-one billion, one hundred one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1619 3238 4857 6476 8095 9714 14571 16190 19428 24285 29142 32380 48570 58284 72855 97140 145710 291420 3503881 7007762 10511643 14015524 17519405 21023286 31534929 35038810 42046572 52558215 63069858 70077620 105116430 126139716 157674645 210232860 315349290 630698580 5672783339 11345566678 17018350017 22691133356 28363916695 34036700034 51055050051 56727833390 68073400068 85091750085 102110100102 113455666780 170183500170 204220200204 255275250255 340367000340 510550500510 1021101001020