Search a number
-
+
10100012103 = 3217234636199
BaseRepresentation
bin10010110100000000…
…11111010001000111
3222001212221202221100
421122000133101013
5131141100341403
64350114151143
7505200454266
oct113200372107
928055852840
1010100012103
114313214645
121b5a5824b3
13c4c63662c
146bb5585dd
153e1a662a3
hex25a01f447

10100012103 has 48 divisors (see below), whose sum is σ = 16156108800. Its totient is φ = 6047661312.

The previous prime is 10100012101. The next prime is 10100012113. The reversal of 10100012103 is 30121000101.

It is not a de Polignac number, because 10100012103 - 21 = 10100012101 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626198 + ... + 1632396.

It is an arithmetic number, because the mean of its divisors is an integer number (336585600).

Almost surely, 210100012103 is an apocalyptic number.

10100012103 is a deficient number, since it is larger than the sum of its proper divisors (6056096697).

10100012103 is a wasteful number, since it uses less digits than its factorization.

10100012103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100012103 its reverse (30121000101), we get a palindrome (40221012204).

The spelling of 10100012103 in words is "ten billion, one hundred million, twelve thousand, one hundred three".

Divisors: 1 3 9 17 23 51 69 153 207 391 463 1173 1389 3519 4167 6199 7871 10649 18597 23613 31947 55791 70839 95841 105383 142577 181033 316149 427731 543099 948447 1283193 1629297 2423809 2870137 7271427 8610411 21814281 25831233 48792329 66013151 146376987 198039453 439130961 594118359 1122223567 3366670701 10100012103