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10011002012002 = 2376110121958093
BaseRepresentation
bin1001000110101101111000…
…1110000000000101100010
31022110001010221110101000101
42101223132032000011202
52303010013003341002
633142554004213014
72052161651040115
oct221533616000542
938401127411011
1010011002012002
11320a707716522
12115824839a16a
135780586088b4
1426876c3a457c
15125620c7d587
hex91ade380162

10011002012002 has 32 divisors (see below), whose sum is σ = 15830380455984. Its totient is φ = 4742947872000.

The previous prime is 10011002011949. The next prime is 10011002012009. The reversal of 10011002012002 is 20021020011001.

It can be written as a sum of positive squares in 8 ways, for example, as 8743961366361 + 1267040645641 = 2957019^2 + 1125629^2 .

It is a super-2 number, since 2×100110020120022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10011002012002.

It is not an unprimeable number, because it can be changed into a prime (10011002012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10523133 + ... + 11434960.

Almost surely, 210011002012002 is an apocalyptic number.

10011002012002 is a deficient number, since it is larger than the sum of its proper divisors (5819378443982).

10011002012002 is a wasteful number, since it uses less digits than its factorization.

10011002012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21958294.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10011002012002 its reverse (20021020011001), we get a palindrome (30032022023003).

The spelling of 10011002012002 in words is "ten trillion, eleven billion, two million, twelve thousand, two".

Divisors: 1 2 37 61 74 101 122 202 2257 3737 4514 6161 7474 12322 227957 455914 21958093 43916186 812449441 1339443673 1624898882 2217767393 2678887346 4435534786 49559415901 82057393541 99118831802 135283810973 164114787082 270567621946 5005501006001 10011002012002