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123023110032 = 243219291550503
BaseRepresentation
bin111001010010010111…
…1111010111110010000
3102202112200200111211200
41302210233322332100
54003422404010112
6132303244111200
711613425116164
oct1624457727620
9382480614750
10123023110032
11481a037a469
121ba14235500
13b7a7600784
145d50a46ca4
1533005b1cdc
hex1ca4bfaf90

123023110032 has 120 divisors (see below), whose sum is σ = 374911867200. Its totient is φ = 37509744384.

The previous prime is 123023109991. The next prime is 123023110069. The reversal of 123023110032 is 230011320321.

123023110032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123023109987 and 123023110014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695908 + ... + 854595.

It is an arithmetic number, because the mean of its divisors is an integer number (3124265560).

Almost surely, 2123023110032 is an apocalyptic number.

123023110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123023110032 is an abundant number, since it is smaller than the sum of its proper divisors (251888757168).

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

123023110032 is a wasteful number, since it uses less digits than its factorization.

123023110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550565 (or 1550556 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123023110032 its reverse (230011320321), we get a palindrome (353034430353).

The spelling of 123023110032 in words is "one hundred twenty-three billion, twenty-three million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1044 1102 1368 1392 1653 2088 2204 2736 3306 4176 4408 4959 6612 8816 9918 13224 19836 26448 39672 79344 1550503 3101006 4651509 6202012 9303018 12404024 13954527 18606036 24808048 27909054 29459557 37212072 44964587 55818108 58919114 74424144 88378671 89929174 111636216 117838228 134893761 176757342 179858348 223272432 235676456 265136013 269787522 353514684 359716696 404681283 471352912 530272026 539575044 707029368 719433392 809362566 854327153 1060544052 1079150088 1414058736 1618725132 1708654306 2121088104 2158300176 2562981459 3237450264 3417308612 4242176208 5125962918 6474900528 6834617224 7688944377 10251925836 13669234448 15377888754 20503851672 30755777508 41007703344 61511555016 123023110032