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10354213104 = 243839257107
BaseRepresentation
bin10011010010010100…
…01100000011110000
3222201121021112011020
421221022030003300
5132201134304404
64431234415440
7514405234134
oct115112140360
928647245136
1010354213104
114433757614
12200b731580
13c901ba221
147032093c4
15409029ed9
hex26928c0f0

10354213104 has 40 divisors (see below), whose sum is σ = 26780369280. Its totient is φ = 3447277248.

The previous prime is 10354213081. The next prime is 10354213109. The reversal of 10354213104 is 40131245301.

It is a happy number.

It is a super-3 number, since 3×103542131043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10354213109) 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 7 ways as a sum of consecutive naturals, for example, 88282 + ... + 168825.

It is an arithmetic number, because the mean of its divisors is an integer number (669509232).

Almost surely, 210354213104 is an apocalyptic number.

It is an amenable number.

10354213104 is an abundant number, since it is smaller than the sum of its proper divisors (16426156176).

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

10354213104 is a wasteful number, since it uses less digits than its factorization.

10354213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257957 (or 257951 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10354213104 its reverse (40131245301), we get a palindrome (50485458405).

The spelling of 10354213104 in words is "ten billion, three hundred fifty-four million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 839 1678 2517 3356 5034 6712 10068 13424 20136 40272 257107 514214 771321 1028428 1542642 2056856 3085284 4113712 6170568 12341136 215712773 431425546 647138319 862851092 1294276638 1725702184 2588553276 3451404368 5177106552 10354213104