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10121020002 = 2321697331337
BaseRepresentation
bin10010110110100001…
…01000001001100010
3222010100111002100200
421123100220021202
5131211440120002
64352144330030
7505544151642
oct113320501142
928110432320
1010121020002
114324063145
121b65613916
13c53ab0742
146c0266522
153e3815b1c
hex25b428262

10121020002 has 24 divisors (see below), whose sum is σ = 21941865036. Its totient is φ = 3371675136.

The previous prime is 10121019991. The next prime is 10121020009. The reversal of 10121020002 is 20002012101.

It can be written as a sum of positive squares in 2 ways, for example, as 8390376801 + 1730643201 = 91599^2 + 41601^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10121020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135123 + ... + 196214.

Almost surely, 210121020002 is an apocalyptic number.

10121020002 is an abundant number, since it is smaller than the sum of its proper divisors (11820845034).

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

10121020002 is a wasteful number, since it uses less digits than its factorization.

10121020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333042 (or 333039 counting only the distinct ones).

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

Adding to 10121020002 its reverse (20002012101), we get a palindrome (30123032103).

The spelling of 10121020002 in words is "ten billion, one hundred twenty-one million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 1697 3394 5091 10182 15273 30546 331337 662674 994011 1988022 2982033 5964066 562278889 1124557778 1686836667 3373673334 5060510001 10121020002