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43020125120 = 265740946957
BaseRepresentation
bin101000000100001100…
…110000001111000000
311010001010221210022102
4220010030300033000
51201101123000440
631432502325532
73052036013210
oct500414601700
9133033853272
1043020125120
1117276814815
1284074298a8
13409799214b
142121732240
1511bbc03b15
hexa043303c0

43020125120 has 112 divisors (see below), whose sum is σ = 117364946880. Its totient is φ = 14713380864.

The previous prime is 43020125077. The next prime is 43020125143. The reversal of 43020125120 is 2152102034.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 43020125092 and 43020125101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892682 + ... + 939638.

Almost surely, 243020125120 is an apocalyptic number.

43020125120 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 43020125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58682473440).

43020125120 is an abundant number, since it is smaller than the sum of its proper divisors (74344821760).

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

43020125120 is a wasteful number, since it uses less digits than its factorization.

43020125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47390 (or 47380 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 43020125120 its reverse (2152102034), we get a palindrome (45172227154).

The spelling of 43020125120 in words is "forty-three billion, twenty million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 409 448 560 818 1120 1636 2045 2240 2863 3272 4090 5726 6544 8180 11452 13088 14315 16360 22904 26176 28630 32720 45808 46957 57260 65440 91616 93914 114520 130880 183232 187828 229040 234785 328699 375656 458080 469570 657398 751312 916160 939140 1314796 1502624 1643495 1878280 2629592 3005248 3286990 3756560 5259184 6573980 7513120 10518368 13147960 15026240 19205413 21036736 26295920 38410826 52591840 76821652 96027065 105183680 134437891 153643304 192054130 268875782 307286608 384108260 537751564 614573216 672189455 768216520 1075503128 1229146432 1344378910 1536433040 2151006256 2688757820 3072866080 4302012512 5377515640 6145732160 8604025024 10755031280 21510062560 43020125120