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3130120422 = 236111315013
BaseRepresentation
bin1011101010010001…
…1101100011100110
322002010212121000000
42322210131203212
522402302323142
61234333202130
7140365404342
oct27244354346
98063777000
103130120422
111366964890
12734330346
133ab642a80
142199d8622
15134be814c
hexba91d8e6

3130120422 has 112 divisors (see below), whose sum is σ = 8270792208. Its totient is φ = 875499840.

The previous prime is 3130120421. The next prime is 3130120463. The reversal of 3130120422 is 2240210313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3130120395 and 3130120404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130120421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 200988 + ... + 216000.

It is an arithmetic number, because the mean of its divisors is an integer number (73846359).

Almost surely, 23130120422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130120422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135396104).

3130120422 is an abundant number, since it is smaller than the sum of its proper divisors (5140671786).

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

3130120422 is a wasteful number, since it uses less digits than its factorization.

3130120422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15057 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3130120422 is about 55947.4791389210. The cubic root of 3130120422 is about 1462.8069509569.

Adding to 3130120422 its reverse (2240210313), we get a palindrome (5370330735).

The spelling of 3130120422 in words is "three billion, one hundred thirty million, one hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 729 858 891 1053 1287 1458 1782 2106 2574 2673 3159 3861 5346 6318 7722 8019 9477 11583 15013 16038 18954 23166 30026 34749 45039 69498 90078 104247 135117 165143 195169 208494 270234 330286 390338 405351 495429 585507 810702 990858 1171014 1216053 1486287 1756521 2146859 2432106 2972574 3513042 3648159 4293718 4458861 5269563 6440577 7296318 8917722 10539126 10944477 12881154 13376583 15808689 19321731 21888954 26753166 31617378 38643462 40129749 47426067 57965193 80259498 94852134 115930386 120389247 142278201 173895579 240778494 284556402 347791158 521686737 1043373474 1565060211 3130120422