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10020211100001 = 3217193617952979
BaseRepresentation
bin1001000111010000001100…
…0111111000100101100001
31022110220220201222111211200
42101310003013320211201
52303132343020200001
633151115455031413
72052636113016144
oct221640307704541
938426821874750
1010020211100001
113213602a37653
121159b9850b569
13578b954a58ab
14268da348605b
151259ae4ac086
hex91d031f8961

10020211100001 has 48 divisors (see below), whose sum is σ = 16136086075200. Its totient is φ = 5954633478144.

The previous prime is 10020211099907. The next prime is 10020211100059. The reversal of 10020211100001 is 10000111202001.

It is a happy number.

It is not a de Polignac number, because 10020211100001 - 29 = 10020211099489 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 (10020211100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10038130 + ... + 10991108.

It is an arithmetic number, because the mean of its divisors is an integer number (336168459900).

Almost surely, 210020211100001 is an apocalyptic number.

It is an amenable number.

10020211100001 is a deficient number, since it is larger than the sum of its proper divisors (6115874975199).

10020211100001 is a wasteful number, since it uses less digits than its factorization.

10020211100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956638 (or 956635 counting only the distinct ones).

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

Adding to 10020211100001 its reverse (10000111202001), we get a palindrome (20020322302002).

The spelling of 10020211100001 in words is "ten trillion, twenty billion, two hundred eleven million, one hundred thousand, one".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 3617 10851 32553 61489 68723 184467 206169 553401 618507 952979 1168291 2858937 3504873 8576811 10514619 16200643 18106601 48601929 54319803 145805787 162959409 307812217 923436651 2770309953 3446925043 10340775129 31022325387 58597725731 65491575817 175793177193 196474727451 527379531579 589424182353 1113356788889 3340070366667 10020211100001