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102023103 = 37132171989
BaseRepresentation
bin1100001010010…
…11111110111111
321002222022101110
412011023332333
5202104214403
614042413103
72346116310
oct605137677
9232868343
10102023103
1152653516
122a201193
13181a1600
14d79a607
158e54103
hex614bfbf

102023103 has 96 divisors (see below), whose sum is σ = 189734400. Its totient is φ = 47443968.

The previous prime is 102023087. The next prime is 102023143. The reversal of 102023103 is 301320201.

It is a happy number.

It is not a de Polignac number, because 102023103 - 24 = 102023087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1146283 + ... + 1146371.

It is an arithmetic number, because the mean of its divisors is an integer number (1976400).

Almost surely, 2102023103 is an apocalyptic number.

102023103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102023103 is a deficient number, since it is larger than the sum of its proper divisors (87711297).

102023103 is a wasteful number, since it uses less digits than its factorization.

102023103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102023103 is about 10100.6486425378. The cubic root of 102023103 is about 467.2681462544.

Adding to 102023103 its reverse (301320201), we get a palindrome (403343304).

The spelling of 102023103 in words is "one hundred two million, twenty-three thousand, one hundred three".

Divisors: 1 3 7 13 17 19 21 39 51 57 89 91 119 133 169 221 247 267 273 323 357 399 507 623 663 741 969 1157 1183 1513 1547 1691 1729 1869 2261 2873 3211 3471 3549 4199 4539 4641 5073 5187 6783 8099 8619 9633 10591 11837 12597 15041 19669 20111 21983 22477 24297 28747 29393 31773 35511 45123 54587 59007 60333 65949 67431 86241 88179 105287 137683 153881 163761 201229 255697 285779 315861 373711 382109 413049 461643 603687 767091 857337 1121133 1146327 1789879 2000453 2615977 4858243 5369637 6001359 7847931 14574729 34007701 102023103