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211000101021 = 32371249507313
BaseRepresentation
bin1100010010000010010…
…1100000100010011101
3202011121221220201022100
43010200211200202131
511424112011213041
6240533200235313
721146531160243
oct3044045404235
9664557821270
10211000101021
1181537068986
1234a8760bb39
1316b882807a8
14a2d8dba793
15574e0336b6
hex312096089d

211000101021 has 24 divisors (see below), whose sum is σ = 313266395000. Its totient is φ = 136755081216.

The previous prime is 211000100963. The next prime is 211000101031. The reversal of 211000101021 is 120101000112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87609488121 + 123390612900 = 295989^2 + 351270^2 .

It is not a de Polignac number, because 211000101021 - 26 = 211000100957 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211000100994 and 211000101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000101031) 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, 162261 + ... + 669573.

Almost surely, 2211000101021 is an apocalyptic number.

It is an amenable number.

211000101021 is a deficient number, since it is larger than the sum of its proper divisors (102266293979).

211000101021 is a wasteful number, since it uses less digits than its factorization.

211000101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508605 (or 508602 counting only the distinct ones).

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

Adding to 211000101021 its reverse (120101000112), we get a palindrome (331101101133).

The spelling of 211000101021 in words is "two hundred eleven billion, one hundred one thousand, twenty-one".

Divisors: 1 3 9 37 111 333 1249 3747 11241 46213 138639 415917 507313 1521939 4565817 18770581 56311743 168935229 633633937 1900901811 5702705433 23444455669 70333367007 211000101021