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1020020210001 = 321371586720929
BaseRepresentation
bin11101101011111011111…
…00010011100101010001
310121111211221222110122100
432311331330103211101
5113203000133210001
62100331341031013
7133460023505142
oct16657574234521
93544757873570
101020020210001
113636518a8aa1
1214582a855469
1375258bcb350
14375252adac9
151b7ee175586
hexed7df13951

1020020210001 has 48 divisors (see below), whose sum is σ = 1609397112960. Its totient is φ = 618728785920.

The previous prime is 1020020209979. The next prime is 1020020210021. The reversal of 1020020210001 is 1000120200201.

It is not a de Polignac number, because 1020020210001 - 29 = 1020020209489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1020020210021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48726705 + ... + 48747633.

It is an arithmetic number, because the mean of its divisors is an integer number (33529106520).

Almost surely, 21020020210001 is an apocalyptic number.

It is an amenable number.

1020020210001 is a deficient number, since it is larger than the sum of its proper divisors (589376902959).

1020020210001 is a wasteful number, since it uses less digits than its factorization.

1020020210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26886 (or 26883 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020020210001 its reverse (1000120200201), we get a palindrome (2020140410202).

The spelling of 1020020210001 in words is "one trillion, twenty billion, twenty million, two hundred ten thousand, one".

Divisors: 1 3 9 13 39 71 117 213 639 923 2769 5867 8307 17601 20929 52803 62787 76271 188361 228813 272077 416557 686439 816231 1249671 1485959 2448693 3749013 4457877 5415241 13373631 16245723 19317467 48737169 57952401 122790443 173857203 368371329 1105113987 1596275759 4788827277 8718121453 14366481831 26154364359 78463093077 113335578889 340006736667 1020020210001