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202121010104 = 231331501112511
BaseRepresentation
bin1011110000111101011…
…0011101101110111000
3201022201011100011101012
42330033112131232320
511302420434310404
6232504134413052
720413514144636
oct2741726355670
9638634304335
10202121010104
11787a004a512
1233209b01188
13160a1885140
149ad5a7a356
1553ce78ba6e
hex2f0f59dbb8

202121010104 has 64 divisors (see below), whose sum is σ = 421412167680. Its totient is φ = 90252144000.

The previous prime is 202121010061. The next prime is 202121010127. The reversal of 202121010104 is 401010121202.

It is a happy number.

It is a super-2 number, since 2×2021210101042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16149209 + ... + 16161719.

It is an arithmetic number, because the mean of its divisors is an integer number (6584565120).

Almost surely, 2202121010104 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 202121010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210706083840).

202121010104 is an abundant number, since it is smaller than the sum of its proper divisors (219291157576).

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

202121010104 is a wasteful number, since it uses less digits than its factorization.

202121010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17572 (or 17568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202121010104 its reverse (401010121202), we get a palindrome (603131131306).

The spelling of 202121010104 in words is "two hundred two billion, one hundred twenty-one million, ten thousand, one hundred four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 5011 10022 12511 20044 25022 40088 50044 65143 100088 130286 155341 162643 260572 310682 325286 387841 521144 621364 650572 775682 1242728 1301144 1551364 2019433 3102728 4038866 5041933 8077732 10083866 16155464 20167732 40335464 62692621 125385242 250770484 501540968 815004073 1630008146 1943471251 3260016292 3886942502 6520032584 7773885004 15547770008 25265126263 50530252526 101060505052 202121010104