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423241030120 = 235293777312757
BaseRepresentation
bin1100010100010110010…
…00011001100111101000
31111110110101200000202011
412022023020121213220
523413244200430440
6522233444045304
742402210253216
oct6121310314750
91443411600664
10423241030120
1115354a589307
126a03a693834
1330bb061c17c
14166b0ab3cb6
15b021e699ea
hex628b2199e8

423241030120 has 128 divisors (see below), whose sum is σ = 1013143399200. Its totient is φ = 158822608896.

The previous prime is 423241030109. The next prime is 423241030151. The reversal of 423241030120 is 21030142324.

It can be written as a sum of positive squares in 16 ways, for example, as 46129589284 + 377111440836 = 214778^2 + 614094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 423241030091 and 423241030100.

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 31 ways as a sum of consecutive naturals, for example, 33170782 + ... + 33183538.

Almost surely, 2423241030120 is an apocalyptic number.

423241030120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423241030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506571699600).

423241030120 is an abundant number, since it is smaller than the sum of its proper divisors (589902369080).

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

423241030120 is a wasteful number, since it uses less digits than its factorization.

423241030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607 (or 13603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 423241030120 its reverse (21030142324), we get a palindrome (444271172444).

The spelling of 423241030120 in words is "four hundred twenty-three billion, two hundred forty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 185 232 290 296 370 580 740 773 1073 1160 1480 1546 2146 3092 3865 4292 5365 6184 7730 8584 10730 12757 15460 21460 22417 25514 28601 30920 42920 44834 51028 57202 63785 89668 102056 112085 114404 127570 143005 179336 224170 228808 255140 286010 369953 448340 472009 510280 572020 739906 829429 896680 944018 1144040 1479812 1658858 1849765 1888036 2360045 2959624 3317716 3699530 3776072 4147145 4720090 6635432 7399060 8294290 9440180 9861161 13688261 14798120 16588580 18880360 19722322 27376522 33177160 39444644 49305805 54753044 68441305 78889288 98611610 109506088 136882610 197223220 273765220 285973669 364862957 394446440 547530440 571947338 729725914 1143894676 1429868345 1459451828 1824314785 2287789352 2859736690 2918903656 3648629570 5719473380 7297259140 10581025753 11438946760 14594518280 21162051506 42324103012 52905128765 84648206024 105810257530 211620515060 423241030120