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102143316 = 2231119139293
BaseRepresentation
bin1100001011010…
…01010101010100
321010012102021210
412011221111110
5202122041231
614045141420
72350126632
oct605512524
9233172253
10102143316
1152725870
122a25a870
1318214242
14d7cc352
158e79a46
hex6169554

102143316 has 96 divisors (see below), whose sum is σ = 276595200. Its totient is φ = 29013120.

The previous prime is 102143311. The next prime is 102143323. The reversal of 102143316 is 613341201.

It is a super-3 number, since 3×1021433163 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102143292 and 102143301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102143311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348466 + ... + 348758.

It is an arithmetic number, because the mean of its divisors is an integer number (2881200).

Almost surely, 2102143316 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 102143316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138297600).

102143316 is an abundant number, since it is smaller than the sum of its proper divisors (174451884).

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

102143316 is a wasteful number, since it uses less digits than its factorization.

102143316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 102143316 is about 10106.5976470818. The cubic root of 102143316 is about 467.4516003160.

Adding to 102143316 its reverse (613341201), we get a palindrome (715484517).

It can be divided in two parts, 10214 and 3316, that added together give a triangular number (13530 = T164).

The spelling of 102143316 in words is "one hundred two million, one hundred forty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 139 209 228 278 293 417 418 556 586 627 834 836 879 1172 1254 1529 1668 1758 2508 2641 3058 3223 3516 4587 5282 5567 6116 6446 7923 9174 9669 10564 11134 12892 15846 16701 18348 19338 22268 29051 31692 33402 38676 40727 58102 61237 66804 81454 87153 116204 122181 122474 162908 174306 183711 244362 244948 348612 367422 447997 488724 734844 773813 895994 1343991 1547626 1791988 2321439 2687982 3095252 4642878 5375964 8511943 9285756 17023886 25535829 34047772 51071658 102143316