Search a number
-
+
2301322231032 = 2331123721418009
BaseRepresentation
bin100001011111010001011…
…111100111110011111000
322011000010002210011200220
4201133101133213303320
5300201101442343112
64521113550100040
7325156624131366
oct41372137476370
98130102704626
102301322231032
11807a92449900
123120181aa620
131390242b29b6
147d55545c636
153ece17bd98c
hex217d17e7cf8

2301322231032 has 96 divisors (see below), whose sum is σ = 6494797352400. Its totient is φ = 678522493440.

The previous prime is 2301322231007. The next prime is 2301322231049.

2301322231032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23013222310322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2301322230993 and 2301322231011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10601557 + ... + 10816452.

Almost surely, 22301322231032 is an apocalyptic number.

2301322231032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2301322231032 is an abundant number, since it is smaller than the sum of its proper divisors (4193475121368).

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

2301322231032 is a wasteful number, since it uses less digits than its factorization.

2301322231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21418077 (or 21418062 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 2301322231032 in words is "two trillion, three hundred one billion, three hundred twenty-two million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4884 8954 9768 13431 17908 26862 35816 53724 107448 21418009 42836018 64254027 85672036 128508054 171344072 235598099 257016108 471196198 514032216 706794297 792466333 942392396 1413588594 1584932666 1884784792 2377398999 2591579089 2827177188 3169865332 4754797998 5183158178 5654354376 6339730664 7774737267 8717129663 9509595996 10366316356 15549474534 17434259326 19019191992 20732632712 26151388989 31098949068 34868518652 52302777978 62197898136 69737037304 95888426293 104605555956 191776852586 209211111912 287665278879 383553705172 575330557758 767107410344 1150661115516 2301322231032