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2230131302322 = 2371126938346853
BaseRepresentation
bin100000011100111110001…
…011110001111110110010
321220012100200111021202120
4200130332023301332302
5243014302103133242
64424301433255110
7320056506204360
oct40347613617662
97805320437676
102230131302322
1178a87aa87430
1230026a564496
131323ba1cbb01
1479d205d8630
153d0268651ec
hex2073e2f1fb2

2230131302322 has 128 divisors (see below), whose sum is σ = 5596211773440. Its totient is φ = 575582442240.

The previous prime is 2230131302279. The next prime is 2230131302327. The reversal of 2230131302322 is 2232031310322.

It is a junction number, because it is equal to n+sod(n) for n = 2230131302292 and 2230131302301.

It is not an unprimeable number, because it can be changed into a prime (2230131302327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47575048 + ... + 47621900.

It is an arithmetic number, because the mean of its divisors is an integer number (43720404480).

Almost surely, 22230131302322 is an apocalyptic number.

2230131302322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230131302322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798105886720).

2230131302322 is an abundant number, since it is smaller than the sum of its proper divisors (3366080471118).

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

2230131302322 is a wasteful number, since it uses less digits than its factorization.

2230131302322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47528.

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

Adding to 2230131302322 its reverse (2232031310322), we get a palindrome (4462162612644).

The spelling of 2230131302322 in words is "two trillion, two hundred thirty billion, one hundred thirty-one million, three hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 269 383 462 538 766 807 1149 1614 1883 2298 2681 2959 3766 4213 5362 5649 5918 8043 8426 8877 11298 12639 16086 17754 20713 25278 29491 41426 46853 58982 62139 88473 93706 103027 124278 140559 176946 206054 281118 309081 327971 515383 618162 655942 721189 983913 1030766 1133297 1442378 1546149 1967826 2163567 2266594 3092298 3399891 3607681 4327134 6799782 7215362 7933079 10823043 12603457 15866158 17944699 21646086 23799237 25206914 35889398 37810371 47598474 53834097 75620742 88224199 107668194 125612893 138638027 176448398 197391689 251225786 264672597 277276054 376838679 394783378 415914081 529345194 592175067 753677358 831828162 970466189 1184350134 1381741823 1940932378 2763483646 2911398567 4145225469 4827124031 5822797134 8290450938 9654248062 14481372093 28962744186 33789868217 53098364341 67579736434 101369604651 106196728682 159295093023 202739209302 318590186046 371688550387 743377100774 1115065651161 2230131302322