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1211130468 = 22351796961
BaseRepresentation
bin100100000110000…
…0110001001100100
310010101221210200000
41020030012021210
54440022133333
6320102421300
742004303422
oct11014061144
93111853600
101211130468
11571719279
12299731830
13163bc0762
14b6bca112
15714d8713
hex48306264

1211130468 has 72 divisors (see below), whose sum is σ = 3193051680. Its totient is φ = 401397120.

The previous prime is 1211130467. The next prime is 1211130563. The reversal of 1211130468 is 8640311121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1211130463) 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, 170508 + ... + 177468.

It is an arithmetic number, because the mean of its divisors is an integer number (44347940).

Almost surely, 21211130468 is an apocalyptic number.

1211130468 is a gapful number since it is divisible by the number (18) 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 1211130468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596525840).

1211130468 is an abundant number, since it is smaller than the sum of its proper divisors (1981921212).

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

1211130468 is a wasteful number, since it uses less digits than its factorization.

1211130468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1211130468 is about 34801.2998033119. The cubic root of 1211130468 is about 1065.9339872553.

Adding to 1211130468 its reverse (8640311121), we get a palindrome (9851441589).

The spelling of 1211130468 in words is "one billion, two hundred eleven million, one hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 179 243 324 358 486 537 716 972 1074 1611 2148 3222 4833 6444 6961 9666 13922 14499 19332 20883 27844 28998 41766 43497 57996 62649 83532 86994 125298 173988 187947 250596 375894 563841 751788 1127682 1246019 1691523 2255364 2492038 3383046 3738057 4984076 6766092 7476114 11214171 14952228 22428342 33642513 44856684 67285026 100927539 134570052 201855078 302782617 403710156 605565234 1211130468