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20100021210 = 234535370297
BaseRepresentation
bin10010101110000011…
…011111101111011010
31220212210201212120000
4102232003133233122
5312131101134320
613122301113430
71311045234633
oct225603375732
956783655500
1020100021210
118584a35485
123a8b558876
131b84327c99
14d896c088a
157c9926c90
hex4ae0dfbda

20100021210 has 80 divisors (see below), whose sum is σ = 54200601576. Its totient is φ = 5344745472.

The previous prime is 20100021197. The next prime is 20100021217. The reversal of 20100021210 is 1212000102.

It can be written as a sum of positive squares in 4 ways, for example, as 17315664921 + 2784356289 = 131589^2 + 52767^2 .

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 = 20100021192 and 20100021201.

It is not an unprimeable number, because it can be changed into a prime (20100021217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 250782 + ... + 321078.

Almost surely, 220100021210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27100300788).

20100021210 is an abundant number, since it is smaller than the sum of its proper divisors (34100580366).

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

20100021210 is a wasteful number, since it uses less digits than its factorization.

20100021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70669 (or 70660 counting only the distinct ones).

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

Adding to 20100021210 its reverse (1212000102), we get a palindrome (21312021312).

The spelling of 20100021210 in words is "twenty billion, one hundred million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 353 405 706 810 1059 1765 2118 3177 3530 5295 6354 9531 10590 15885 19062 28593 31770 47655 57186 70297 95310 140594 142965 210891 285930 351485 421782 632673 702970 1054455 1265346 1898019 2108910 3163365 3796038 5694057 6326730 9490095 11388114 18980190 24814841 28470285 49629682 56940570 74444523 124074205 148889046 223333569 248148410 372222615 446667138 670000707 744445230 1116667845 1340001414 2010002121 2233335690 3350003535 4020004242 6700007070 10050010605 20100021210