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1021040020 = 2257111351001
BaseRepresentation
bin111100110110111…
…101010110010100
32122011021012121001
4330312331112110
54042341240040
6245152233044
734205461030
oct7466752624
92564235531
101021040020
11484394530
12245b3b784
131336c5ac0
14998671c0
155e98a59a
hex3cdbd594

1021040020 has 96 divisors (see below), whose sum is σ = 2878960896. Its totient is φ = 293760000.

The previous prime is 1021039997. The next prime is 1021040029. The reversal of 1021040020 is 200401201.

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 = 1021039979 and 1021040006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021040029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5481 + ... + 45520.

It is an arithmetic number, because the mean of its divisors is an integer number (29989176).

Almost surely, 21021040020 is an apocalyptic number.

1021040020 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 1021040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439480448).

1021040020 is an abundant number, since it is smaller than the sum of its proper divisors (1857920876).

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

1021040020 is a wasteful number, since it uses less digits than its factorization.

1021040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51041 (or 51039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1021040020 is about 31953.7168417072. The cubic root of 1021040020 is about 1006.9647200612.

Adding to 1021040020 its reverse (200401201), we get a palindrome (1221441221).

The spelling of 1021040020 in words is "one billion, twenty-one million, forty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 51001 102002 204004 255005 357007 510010 561011 663013 714014 1020020 1122022 1326026 1428028 1785035 2244044 2652052 2805055 3315065 3570070 3927077 4641091 5610110 6630130 7140140 7293143 7854154 9282182 11220220 13260260 14586286 15708308 18564364 19635385 23205455 29172572 36465715 39270770 46410910 51052001 72931430 78541540 92821820 102104002 145862860 204208004 255260005 510520010 1021040020