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1214102032 = 241113618699
BaseRepresentation
bin100100001011101…
…1011101000010000
310010121112202212221
41020113123220100
54441302231112
6320250230424
742041461033
oct11027335020
93117482787
101214102032
11573368910
1229a725414
131646c1190
14b736101a
15718c3e07
hex485dba10

1214102032 has 80 divisors (see below), whose sum is σ = 2809195200. Its totient is φ = 501004800.

The previous prime is 1214102027. The next prime is 1214102041. The reversal of 1214102032 is 2302014121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1214101997 and 1214102015.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 135219 + ... + 143917.

It is an arithmetic number, because the mean of its divisors is an integer number (35114940).

Almost surely, 21214102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404597600).

1214102032 is an abundant number, since it is smaller than the sum of its proper divisors (1595093168).

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

1214102032 is a wasteful number, since it uses less digits than its factorization.

1214102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1214102032 is about 34843.9669383381. The cubic root of 1214102032 is about 1066.8050478453.

Adding to 1214102032 its reverse (2302014121), we get a palindrome (3516116153).

The spelling of 1214102032 in words is "one billion, two hundred fourteen million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 61 88 104 122 143 176 208 244 286 488 572 671 793 976 1144 1342 1586 2288 2684 3172 5368 6344 8699 8723 10736 12688 17398 17446 34796 34892 69592 69784 95689 113087 139184 139568 191378 226174 382756 452348 530639 765512 904696 1061278 1243957 1531024 1809392 2122556 2487914 4245112 4975828 5837029 6898307 8490224 9951656 11674058 13796614 19903312 23348116 27593228 46696232 55186456 75881377 93392464 110372912 151762754 303525508 607051016 1214102032