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123228342204 = 2231117139395069
BaseRepresentation
bin111001011000011111…
…0110100011110111100
3102210001222212101110020
41302300332310132330
54004332423422304
6132335455012140
711621466424542
oct1626076643674
9383058771406
10123228342204
1148296206430
121ba70b0a050
13b80ac9a426
145d6ddcbd92
1533136015d9
hex1cb0fb47bc

123228342204 has 96 divisors (see below), whose sum is σ = 334513670400. Its totient is φ = 34892405760.

The previous prime is 123228342197. The next prime is 123228342217. The reversal of 123228342204 is 402243822321.

123228342204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1232283422042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114382 + ... + 509450.

It is an arithmetic number, because the mean of its divisors is an integer number (3484517400).

Almost surely, 2123228342204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123228342204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167256835200).

123228342204 is an abundant number, since it is smaller than the sum of its proper divisors (211285328196).

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

123228342204 is a wasteful number, since it uses less digits than its factorization.

123228342204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395243 (or 395241 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 123228342204 in words is "one hundred twenty-three billion, two hundred twenty-eight million, three hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 139 187 204 278 374 417 556 561 748 834 1122 1529 1668 2244 2363 3058 4587 4726 6116 7089 9174 9452 14178 18348 25993 28356 51986 77979 103972 155958 311916 395069 790138 1185207 1580276 2370414 4345759 4740828 6716173 8691518 13037277 13432346 17383036 20148519 26074554 26864692 40297038 52149108 54914591 73877903 80594076 109829182 147755806 164743773 219658364 221633709 295511612 329487546 443267418 604060501 658975092 886534836 933548047 1208121002 1812181503 1867096094 2416242004 2800644141 3624363006 3734192188 5601288282 7248726012 10269028517 11202576564 20538057034 30807085551 41076114068 61614171102 123228342204