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123430012032030 = 235112332835672369
BaseRepresentation
bin11100000100001001001010…
…000001011001010000011110
3121012000210102202112212121020
4130010021022001121100132
5112134234131040011110
61114302544214345010
734666344522333024
oct3404111201312036
9535023382485536
10123430012032030
1136368412a84140
1211a1569135b166
1353b45282b3732
14226a089dc6714
15e40a70496d70
hex70424a05941e

123430012032030 has 128 divisors (see below), whose sum is σ = 325696049902080. Its totient is φ = 29688720322560.

The previous prime is 123430012032023. The next prime is 123430012032043. The reversal of 123430012032030 is 30230210034321.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18923686 + ... + 24596054.

It is an arithmetic number, because the mean of its divisors is an integer number (2544500389860).

Almost surely, 2123430012032030 is an apocalyptic number.

123430012032030 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 123430012032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162848024951040).

123430012032030 is an abundant number, since it is smaller than the sum of its proper divisors (202266037870050).

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

123430012032030 is a wasteful number, since it uses less digits than its factorization.

123430012032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672906.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 123430012032030 its reverse (30230210034321), we get a palindrome (153660222066351).

The spelling of 123430012032030 in words is "one hundred twenty-three trillion, four hundred thirty billion, twelve million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 233 283 330 466 566 699 849 1165 1398 1415 1698 2330 2563 2830 3113 3495 4245 5126 6226 6990 7689 8490 9339 12815 15378 15565 18678 25630 31130 38445 46695 65939 76890 93390 131878 197817 329695 395634 659390 725329 989085 1450658 1978170 2175987 3626645 4351974 5672369 7253290 10879935 11344738 17017107 21759870 28361845 34034214 56723690 62396059 85085535 124792118 170171070 187188177 311980295 374376354 623960590 935940885 1321661977 1605280427 1871881770 2643323954 3210560854 3964985931 4815841281 6608309885 7929971862 8026402135 9631682562 13216619770 14538281747 16052804270 17658084697 19824929655 24079206405 29076563494 35316169394 39649859310 43614845241 48158412810 52974254091 72691408735 87229690482 88290423485 105948508182 145382817470 176580846970 218074226205 264871270455 374030339491 436148452410 529742540910 748060678982 1122091018473 1870151697455 2244182036946 3740303394910 4114333734401 5610455092365 8228667468802 11220910184730 12343001203203 20571668672005 24686002406406 41143337344010 61715006016015 123430012032030