Search a number
-
+
124142756010 = 235713291568053
BaseRepresentation
bin111001110011101111…
…1000010000010101010
3102212102201111102101020
41303213133002002222
54013221021143020
6133010322033310
711653242005160
oct1634737020252
9385381442336
10124142756010
1148715393019
12200871a8836
13b92556c6a0
14601961b230
153368a28c40
hex1ce77c20aa

124142756010 has 128 divisors (see below), whose sum is σ = 379343623680. Its totient is φ = 25289542656.

The previous prime is 124142755999. The next prime is 124142756021. The reversal of 124142756010 is 10657241421.

It is an interprime number because it is at equal distance from previous prime (124142755999) and next prime (124142756021).

It is a super-2 number, since 2×1241427560102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704857 + ... + 863196.

It is an arithmetic number, because the mean of its divisors is an integer number (2963622060).

Almost surely, 2124142756010 is an apocalyptic number.

124142756010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

124142756010 is an abundant number, since it is smaller than the sum of its proper divisors (255200867670).

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

124142756010 is a wasteful number, since it uses less digits than its factorization.

124142756010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568112.

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 124142756010 its reverse (10657241421), we get a palindrome (134799997431).

The spelling of 124142756010 in words is "one hundred twenty-four billion, one hundred forty-two million, seven hundred fifty-six thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 29 30 35 39 42 58 65 70 78 87 91 105 130 145 174 182 195 203 210 273 290 377 390 406 435 455 546 609 754 870 910 1015 1131 1218 1365 1885 2030 2262 2639 2730 3045 3770 5278 5655 6090 7917 11310 13195 15834 26390 39585 79170 1568053 3136106 4704159 7840265 9408318 10976371 15680530 20384689 21952742 23520795 32929113 40769378 45473537 47041590 54881855 61154067 65858226 90947074 101923445 109763710 122308134 136420611 142692823 164645565 203846890 227367685 272841222 285385646 305770335 318314759 329291130 428078469 454735370 591155981 611540670 636629518 682103055 713464115 856156938 954944277 1182311962 1364206110 1426928230 1591573795 1773467943 1909888554 2140392345 2955779905 3183147590 3546935886 4138091867 4280784690 4774721385 5911559810 8276183734 8867339715 9549442770 12414275601 17734679430 20690459335 24828551202 41380918670 62071378005 124142756010