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1210113324 = 223374734057
BaseRepresentation
bin100100000100000…
…1101110100101100
310010100001010102000
41020020031310230
54434242111244
6320024532300
741662536120
oct11010156454
93110033360
101210113324
11571094062
12299321090
131639257b4
14b6a03580
1571387169
hex4820dd2c

1210113324 has 96 divisors (see below), whose sum is σ = 3661916160. Its totient is φ = 338380416.

The previous prime is 1210113301. The next prime is 1210113337. The reversal of 1210113324 is 4233110121.

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 = 1210113297 and 1210113306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18504 + ... + 52560.

It is an arithmetic number, because the mean of its divisors is an integer number (38144960).

Almost surely, 21210113324 is an apocalyptic number.

1210113324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210113324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830958080).

1210113324 is an abundant number, since it is smaller than the sum of its proper divisors (2451802836).

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

1210113324 is a wasteful number, since it uses less digits than its factorization.

1210113324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34124 (or 34116 counting only the distinct ones).

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

The square root of 1210113324 is about 34786.6831416851. The cubic root of 1210113324 is about 1065.6355024796.

Adding to 1210113324 its reverse (4233110121), we get a palindrome (5443223445).

It can be divided in two parts, 12101 and 13324, that added together give a triangular number (25425 = T225).

The spelling of 1210113324 in words is "one billion, two hundred ten million, one hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1269 1316 1692 1974 2538 2961 3948 5076 5922 8883 11844 17766 34057 35532 68114 102171 136228 204342 238399 306513 408684 476798 613026 715197 919539 953596 1226052 1430394 1600679 1839078 2145591 2860788 3201358 3678156 4291182 4802037 6402716 6436773 8582364 9604074 11204753 12873546 14406111 19208148 22409506 25747092 28812222 33614259 43218333 44819012 57624444 67228518 86436666 100842777 134457036 172873332 201685554 302528331 403371108 605056662 1210113324