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102433122 = 232112383271
BaseRepresentation
bin1100001101100…
…00000101100010
321010202010211100
412012300011202
5202210324442
614055255230
72352444561
oct606600542
9233663740
10102433122
1152903580
122a37a516
13182b611c
14d865bd8
158ed584c
hex61b0162

102433122 has 96 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 29224800.

The previous prime is 102433117. The next prime is 102433141. The reversal of 102433122 is 221334201.

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 = 102433095 and 102433104.

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, 377847 + ... + 378117.

It is an arithmetic number, because the mean of its divisors is an integer number (2673216).

Almost surely, 2102433122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102433122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368).

102433122 is an abundant number, since it is smaller than the sum of its proper divisors (154195614).

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

102433122 is a wasteful number, since it uses less digits than its factorization.

102433122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102433122 is about 10120.9249577299. The cubic root of 102433122 is about 467.8932750282.

Adding to 102433122 its reverse (221334201), we get a palindrome (323767323).

The spelling of 102433122 in words is "one hundred two million, four hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 83 99 138 166 198 207 249 253 271 414 498 506 542 747 759 813 913 1494 1518 1626 1826 1909 2277 2439 2739 2981 3818 4554 4878 5478 5727 5962 6233 8217 8943 11454 12466 16434 17181 17886 18699 20999 22493 26829 34362 37398 41998 44986 53658 56097 62997 67479 68563 112194 125994 134958 137126 188991 202437 205689 247423 377982 404874 411378 494846 517339 617067 742269 1034678 1234134 1484538 1552017 2226807 3104034 4453614 4656051 5690729 9312102 11381458 17072187 34144374 51216561 102433122