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10020212406 = 23568330187
BaseRepresentation
bin10010101010100000…
…00100111010110110
3221212022210112100000
421111100010322312
5131010133244111
64334143532130
7503211254151
oct112520047266
927768715300
1010020212406
11428216a986
121b378ba046
13c38c46489
146b0b04c98
153d9a51c56
hex255404eb6

10020212406 has 48 divisors (see below), whose sum is σ = 22548262464. Its totient is φ = 3335070024.

The previous prime is 10020212393. The next prime is 10020212459. The reversal of 10020212406 is 60421202001.

It is a super-2 number, since 2×100202124062 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316845 + ... + 347031.

It is an arithmetic number, because the mean of its divisors is an integer number (469755468).

Almost surely, 210020212406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020212406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274131232).

10020212406 is an abundant number, since it is smaller than the sum of its proper divisors (12528050058).

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

10020212406 is an equidigital number, since it uses as much as digits as its factorization.

10020212406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30887 (or 30875 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10020212406 its reverse (60421202001), we get a palindrome (70441414407).

The spelling of 10020212406 in words is "ten billion, twenty million, two hundred twelve thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 683 1366 2049 4098 6147 12294 18441 30187 36882 55323 60374 90561 110646 165969 181122 271683 331938 543366 815049 1630098 2445147 4890294 7335441 14670882 20617721 41235442 61853163 123706326 185559489 371118978 556678467 1113356934 1670035401 3340070802 5010106203 10020212406