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1020020102000 = 24533853132367
BaseRepresentation
bin11101101011111011110…
…11111001001101110000
310121111211221202222111022
432311331323321031300
5113203000121231000
62100331334435012
7133460022545234
oct16657573711560
93544757688438
101020020102000
11363651834939
1214582a802a68
1375258b91143
14375252825c4
151b7ee153585
hexed7def9370

1020020102000 has 80 divisors (see below), whose sum is σ = 2467067371392. Its totient is φ = 407899065600.

The previous prime is 1020020101999. The next prime is 1020020102011. The reversal of 1020020102000 is 2010200201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 7639817 + ... + 7772183.

Almost surely, 21020020102000 is an apocalyptic number.

1020020102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020020102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233533685696).

1020020102000 is an abundant number, since it is smaller than the sum of its proper divisors (1447047269392).

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

1020020102000 is a wasteful number, since it uses less digits than its factorization.

1020020102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136243 (or 136227 counting only the distinct ones).

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

Adding to 1020020102000 its reverse (2010200201), we get a palindrome (1022030302201).

The spelling of 1020020102000 in words is "one trillion, twenty billion, twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3853 7706 15412 19265 30824 38530 61648 77060 96325 132367 154120 192650 264734 308240 385300 481625 529468 661835 770600 963250 1058936 1323670 1541200 1926500 2117872 2647340 3309175 3853000 5294680 6618350 7706000 10589360 13236700 16545875 26473400 33091750 52946800 66183500 132367000 264734000 510010051 1020020102 2040040204 2550050255 4080080408 5100100510 8160160816 10200201020 12750251275 20400402040 25500502550 40800804080 51001005100 63751256375 102002010200 127502512750 204004020400 255005025500 510010051000 1020020102000