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1230131322 = 232717737867
BaseRepresentation
bin100100101010010…
…0101000001111010
310011201201010221100
41021110211001322
510004403200242
6322021552230
742324641460
oct11124450172
93151633840
101230131322
11581416962
122a3b75676
13167b14174
14b9534830
1572edd54c
hex4952507a

1230131322 has 96 divisors (see below), whose sum is σ = 3269814912. Its totient is φ = 326218752.

The previous prime is 1230131321. The next prime is 1230131347. The reversal of 1230131322 is 2231310321.

1230131322 is a `hidden beast` number, since 12 + 301 + 31 + 322 = 666.

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 = 1230131295 and 1230131304.

It is not an unprimeable number, because it can be changed into a prime (1230131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152433 + ... + 160299.

It is an arithmetic number, because the mean of its divisors is an integer number (34060572).

Almost surely, 21230131322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230131322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634907456).

1230131322 is an abundant number, since it is smaller than the sum of its proper divisors (2039683590).

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

1230131322 is a wasteful number, since it uses less digits than its factorization.

1230131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1230131322 is about 35073.2279951532. The cubic root of 1230131322 is about 1071.4793994478.

Adding to 1230131322 its reverse (2231310321), we get a palindrome (3461441643).

The spelling of 1230131322 in words is "one billion, two hundred thirty million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 73 102 119 126 146 153 219 238 306 357 438 511 657 714 1022 1071 1241 1314 1533 2142 2482 3066 3723 4599 7446 7867 8687 9198 11169 15734 17374 22338 23601 26061 47202 52122 55069 70803 78183 110138 133739 141606 156366 165207 267478 330414 401217 495621 574291 802434 936173 991242 1148582 1203651 1722873 1872346 2407302 2808519 3445746 4020037 5168619 5617038 8040074 8425557 9762947 10337238 12060111 16851114 19525894 24120222 29288841 36180333 58577682 68340629 72360666 87866523 136681258 175733046 205021887 410043774 615065661 1230131322