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20020101012 = 22324754121871
BaseRepresentation
bin10010101001010010…
…100111111110010100
31220200020100111122200
4102221102213332110
5312000121213022
613110324124500
71306055023302
oct225122477624
956606314580
1020020101012
11854390922a
123a68836730
131b708c5022
14d7cc39272
157c28dbbac
hex4a94a7f94

20020101012 has 72 divisors (see below), whose sum is σ = 51780997632. Its totient is φ = 6519009600.

The previous prime is 20020101001. The next prime is 20020101029. The reversal of 20020101012 is 21010102002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20020100985 and 20020101003.

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, 904437 + ... + 926307.

Almost surely, 220020101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25890498816).

20020101012 is an abundant number, since it is smaller than the sum of its proper divisors (31760896620).

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

20020101012 is a wasteful number, since it uses less digits than its factorization.

20020101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22469 (or 22464 counting only the distinct ones).

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

Adding to 20020101012 its reverse (21010102002), we get a palindrome (41030203014).

The spelling of 20020101012 in words is "twenty billion, twenty million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 541 564 846 1082 1623 1692 2164 3246 4869 6492 9738 19476 21871 25427 43742 50854 65613 76281 87484 101708 131226 152562 196839 228843 262452 305124 393678 457686 787356 915372 1027937 2055874 3083811 4111748 6167622 9251433 11832211 12335244 18502866 23664422 35496633 37005732 47328844 70993266 106489899 141986532 212979798 425959596 556113917 1112227834 1668341751 2224455668 3336683502 5005025253 6673367004 10010050506 20020101012