Search a number
-
+
4101030120 = 2335114766103
BaseRepresentation
bin1111010001110000…
…1100000011101000
3101120210210220201110
43310130030003220
531344330430440
61514535150320
7203425116015
oct36434140350
911523726643
104101030120
111814a196a0
129655153a0
13504836055
142ac93270c
15190080080
hexf470c0e8

4101030120 has 128 divisors (see below), whose sum is σ = 13707325440. Its totient is φ = 973021440.

The previous prime is 4101030119. The next prime is 4101030121. The reversal of 4101030120 is 210301014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4101030119) and next prime (4101030121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4101030096 and 4101030105.

It is not an unprimeable number, because it can be changed into a prime (4101030121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28989 + ... + 95091.

It is an arithmetic number, because the mean of its divisors is an integer number (107088480).

Almost surely, 24101030120 is an apocalyptic number.

4101030120 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 4101030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853662720).

4101030120 is an abundant number, since it is smaller than the sum of its proper divisors (9606295320).

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

4101030120 is a wasteful number, since it uses less digits than its factorization.

4101030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66175 (or 66171 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4101030120 is about 64039.2857549177. The cubic root of 4101030120 is about 1600.6546956137.

Adding to 4101030120 its reverse (210301014), we get a palindrome (4311331134).

The spelling of 4101030120 in words is "four billion, one hundred one million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 62040 66103 132206 198309 264412 330515 396618 528824 661030 727133 793236 991545 1322060 1454266 1586472 1983090 2181399 2644120 2908532 3106841 3635665 3966180 4362798 5817064 6213682 7271330 7932360 8725596 9320523 10906995 12427364 14542660 15534205 17451192 18641046 21813990 24854728 29085320 31068410 34175251 37282092 43627980 46602615 62136820 68350502 74564184 87255960 93205230 102525753 124273640 136701004 170876255 186410460 205051506 273402008 341752510 372820920 410103012 512628765 683505020 820206024 1025257530 1367010040 2050515060 4101030120