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10100005003 = 11311032691069
BaseRepresentation
bin10010110100000000…
…11101100010001011
3222001212221102012101
421122000131202023
5131141100130003
64350114054231
7505200424504
oct113200354213
928055842171
1010100005003
11431320a280
121b5a57a377
13c4c63332a
146bb555bab
153e1a6411d
hex25a01d88b

10100005003 has 32 divisors (see below), whose sum is σ = 11537510400. Its totient is φ = 8758454400.

The previous prime is 10100005001. The next prime is 10100005021. The reversal of 10100005003 is 30050000101.

It is a cyclic number.

It is not a de Polignac number, because 10100005003 - 21 = 10100005001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100005001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9447553 + ... + 9448621.

It is an arithmetic number, because the mean of its divisors is an integer number (360547200).

Almost surely, 210100005003 is an apocalyptic number.

10100005003 is a deficient number, since it is larger than the sum of its proper divisors (1437505397).

10100005003 is a wasteful number, since it uses less digits than its factorization.

10100005003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483.

The product of its (nonzero) digits is 15, while the sum is 10.

Adding to 10100005003 its reverse (30050000101), we get a palindrome (40150005104).

The spelling of 10100005003 in words is "ten billion, one hundred million, five thousand, three".

Divisors: 1 11 31 103 269 341 1069 1133 2959 3193 8339 11759 27707 33139 35123 91729 110107 287561 304777 364529 858917 1211177 3163171 3413317 8914391 9448087 29618783 37546487 98058301 325806613 918182273 10100005003