Search a number
-
+
123213100110 = 235291171120943
BaseRepresentation
bin111001011000000010…
…0101011010001001110
3102210000221012000020020
41302300010223101032
54004320023200420
6132334152203010
711621223033132
oct1626004532116
9383027160206
10123213100110
1148288645861
121ba67999466
13b807a91839
145d6bd813c2
1533120e0340
hex1cb012b44e

123213100110 has 64 divisors (see below), whose sum is σ = 306172154880. Its totient is φ = 31696479360.

The previous prime is 123213100103. The next prime is 123213100117. The reversal of 123213100110 is 11001312321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123213100103) and next prime (123213100117).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123213100110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123213100117) 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, 958299 + ... + 1079241.

It is an arithmetic number, because the mean of its divisors is an integer number (4783939920).

Almost surely, 2123213100110 is an apocalyptic number.

123213100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123213100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153086077440).

123213100110 is an abundant number, since it is smaller than the sum of its proper divisors (182959054770).

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

123213100110 is a wasteful number, since it uses less digits than its factorization.

123213100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122153.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123213100110 its reverse (11001312321), we get a palindrome (134214412431).

The spelling of 123213100110 in words is "one hundred twenty-three billion, two hundred thirteen million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1171 2342 3513 5855 7026 11710 17565 33959 35130 67918 101877 120943 169795 203754 241886 339590 362829 509385 604715 725658 1018770 1209430 1814145 3507347 3628290 7014694 10522041 17536735 21044082 35073470 52610205 105220410 141624253 283248506 424872759 708121265 849745518 1416242530 2124363795 4107103337 4248727590 8214206674 12321310011 20535516685 24642620022 41071033370 61606550055 123213100110