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102421116 = 223272341431
BaseRepresentation
bin1100001101011…
…01001001111100
321010201112100200
412012231021330
5202204433431
614055123500
72352364560
oct606551174
9233645320
10102421116
11528a5556
122a373590
13182b0815
14d8616a0
158ed1ee6
hex61ad27c

102421116 has 144 divisors (see below), whose sum is σ = 317011968. Its totient is φ = 27244800.

The previous prime is 102421079. The next prime is 102421133. The reversal of 102421116 is 611124201.

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, 237421 + ... + 237851.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2102421116 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 102421116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

102421116 is an abundant number, since it is smaller than the sum of its proper divisors (214590852).

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

102421116 is a wasteful number, since it uses less digits than its factorization.

102421116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102421116 is about 10120.3318127421. The cubic root of 102421116 is about 467.8749940073.

Adding to 102421116 its reverse (611124201), we get a palindrome (713545317).

The spelling of 102421116 in words is "one hundred two million, four hundred twenty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 41 42 46 63 69 82 84 92 123 126 138 161 164 207 246 252 276 287 322 369 414 431 483 492 574 644 738 828 861 862 943 966 1148 1293 1449 1476 1722 1724 1886 1932 2583 2586 2829 2898 3017 3444 3772 3879 5166 5172 5658 5796 6034 6601 7758 8487 9051 9913 10332 11316 12068 13202 15516 16974 17671 18102 19803 19826 26404 27153 29739 33948 35342 36204 39606 39652 53013 54306 59409 59478 69391 70684 79212 89217 106026 108612 118818 118956 123697 138782 159039 178434 208173 212052 237636 247394 277564 318078 356868 371091 406433 416346 494788 624519 636156 742182 812866 832692 1113273 1219299 1249038 1484364 1625732 2226546 2438598 2498076 2845031 3657897 4453092 4877196 5690062 7315794 8535093 11380124 14631588 17070186 25605279 34140372 51210558 102421116