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3132132102 = 23211191575303
BaseRepresentation
bin1011101010110000…
…1000101100000110
322002021122210111200
42322230020230012
522403311211402
61234444243330
7140421453321
oct27254105406
98067583450
103132132102
111368009230
12734b40546
133abb98608
14219d9d7b8
15134e9421c
hexbab08b06

3132132102 has 96 divisors (see below), whose sum is σ = 7843979520. Its totient is φ = 893280960.

The previous prime is 3132132097. The next prime is 3132132119. The reversal of 3132132102 is 2012312313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587983 + ... + 593285.

It is an arithmetic number, because the mean of its divisors is an integer number (81708120).

Almost surely, 23132132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921989760).

3132132102 is an abundant number, since it is smaller than the sum of its proper divisors (4711847418).

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

3132132102 is a wasteful number, since it uses less digits than its factorization.

3132132102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5495 counting only the distinct ones).

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

The square root of 3132132102 is about 55965.4545411721. The cubic root of 3132132102 is about 1463.1202583175.

Adding to 3132132102 its reverse (2012312313), we get a palindrome (5144444415).

The spelling of 3132132102 in words is "three billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 157 171 198 209 314 342 418 471 627 942 1254 1413 1727 1881 2826 2983 3454 3762 5181 5303 5966 8949 10362 10606 15543 15909 17898 26847 31086 31818 32813 47727 53694 58333 65626 95454 98439 100757 116666 174999 196878 201514 295317 302271 349998 524997 590634 604542 832571 906813 1049994 1108327 1665142 1813626 2216654 2497713 3324981 4995426 6649962 7493139 9158281 9974943 14986278 15818849 18316562 19949886 27474843 31637698 47456547 54949686 82424529 94913094 142369641 164849058 174007339 284739282 348014678 522022017 1044044034 1566066051 3132132102