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123042335430 = 2357321135659
BaseRepresentation
bin111001010010111100…
…1010000101011000110
3102202121000212021010110
41302211321100223012
54003442314213210
6132305212133450
711614050411000
oct1624571205306
9382530767113
10123042335430
1148200210823
121ba1a767286
13b7ab5a2451
145d5340d370
15330210d420
hex1ca5e50ac6

123042335430 has 128 divisors (see below), whose sum is σ = 344598912000. Its totient is φ = 28105684992.

The previous prime is 123042335413. The next prime is 123042335459. The reversal of 123042335430 is 34533240321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21739941 + ... + 21745599.

It is an arithmetic number, because the mean of its divisors is an integer number (2692179000).

Almost surely, 2123042335430 is an apocalyptic number.

123042335430 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 123042335430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172299456000).

123042335430 is an abundant number, since it is smaller than the sum of its proper divisors (221556576570).

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

123042335430 is a wasteful number, since it uses less digits than its factorization.

123042335430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 123042335430 its reverse (34533240321), we get a palindrome (157575575751).

The spelling of 123042335430 in words is "one hundred twenty-three billion, forty-two million, three hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 2113 3430 4226 5145 5659 6339 10290 10565 11318 12678 14791 16977 21130 28295 29582 31695 33954 39613 44373 56590 63390 73955 79226 84885 88746 103537 118839 147910 169770 198065 207074 221865 237678 277291 310611 396130 443730 517685 554582 594195 621222 724759 831873 1035370 1188390 1386455 1449518 1553055 1663746 1941037 2174277 2772910 3106110 3623795 3882074 4159365 4348554 5823111 7247590 8318730 9705185 10871385 11646222 11957467 19410370 21742770 23914934 29115555 35872401 58231110 59787335 71744802 83702269 119574670 167404538 179362005 251106807 358724010 418511345 502213614 585915883 837022690 1171831766 1255534035 1757747649 2511068070 2929579415 3515495298 4101411181 5859158830 8202822362 8788738245 12304233543 17577476490 20507055905 24608467086 41014111810 61521167715 123042335430