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1213132122 = 232895931277
BaseRepresentation
bin100100001001110…
…1110110101011010
310010112201111102100
41020103232311122
54441030211442
6320213344230
742030311226
oct11023566532
93115644370
101213132122
11572866134
1229a338076
13164441877
14b718b786
157178184c
hex484eed5a

1213132122 has 48 divisors (see below), whose sum is σ = 2664553320. Its totient is φ = 398846976.

The previous prime is 1213132111. The next prime is 1213132127. The reversal of 1213132122 is 2212313121.

It can be written as a sum of positive squares in 4 ways, for example, as 1010667681 + 202464441 = 31791^2 + 14229^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1213132095 and 1213132104.

It is not an unprimeable number, because it can be changed into a prime (1213132127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949348 + ... + 950624.

Almost surely, 21213132122 is an apocalyptic number.

1213132122 is an abundant number, since it is smaller than the sum of its proper divisors (1451421198).

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

1213132122 is a wasteful number, since it uses less digits than its factorization.

1213132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1964 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1213132122 is about 34830.0462531993. The cubic root of 1213132122 is about 1066.5208925572.

Adding to 1213132122 its reverse (2212313121), we get a palindrome (3425445243).

It can be divided in two parts, 12131 and 32122, that added together give a triangular number (44253 = T297).

The spelling of 1213132122 in words is "one billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 593 801 1186 1277 1602 1779 2554 3558 3831 5337 7662 10674 11493 22986 52777 105554 113653 158331 227306 316662 340959 474993 681918 757261 949986 1022877 1514522 2045754 2271783 4543566 6815349 13630698 67396229 134792458 202188687 404377374 606566061 1213132122