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123213004010 = 25733134491201
BaseRepresentation
bin111001011000000010…
…0010011110011101010
3102210000221000010101222
41302300010103303222
54004320012112020
6132334150142042
711621222153015
oct1626004236352
9383027003358
10123213004010
114828858a638
121ba67951922
13b807a59b85
145d6bd5837c
1533120c1b25
hex1cb0113cea

123213004010 has 64 divisors (see below), whose sum is σ = 226230343200. Its totient is φ = 48306585600.

The previous prime is 123213003997. The next prime is 123213004021. The reversal of 123213004010 is 10400312321.

It can be written as a sum of positive squares in 16 ways, for example, as 11704426969 + 111508577041 = 108187^2 + 333929^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123213004010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102591410 + ... + 102592610.

Almost surely, 2123213004010 is an apocalyptic number.

123213004010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123213004010 is a deficient number, since it is larger than the sum of its proper divisors (103017339190).

123213004010 is a wasteful number, since it uses less digits than its factorization.

123213004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 123213004010 its reverse (10400312321), we get a palindrome (133613316331).

The spelling of 123213004010 in words is "one hundred twenty-three billion, two hundred thirteen million, four thousand, ten".

Divisors: 1 2 5 10 73 146 313 365 449 626 730 898 1201 1565 2245 2402 3130 4490 6005 12010 22849 32777 45698 65554 87673 114245 140537 163885 175346 228490 281074 327770 375913 438365 539249 702685 751826 876730 1078498 1405370 1879565 2696245 3759130 5392490 10259201 20518402 27441649 39365177 51296005 54883298 78730354 102592010 137208245 168784937 196825885 274416490 337569874 393651770 843924685 1687849370 12321300401 24642600802 61606502005 123213004010