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103021002 = 232719231871
BaseRepresentation
bin1100010001111…
…11100111001010
321011212000020200
412020333213022
5202333133002
614120033030
72360443530
oct610774712
9234760220
10103021002
1153175227
122a602776
1318460896
14d97a150
15909eb1c
hex623f9ca

103021002 has 96 divisors (see below), whose sum is σ = 280350720. Its totient is φ = 26658720.

The previous prime is 103021001. The next prime is 103021013. The reversal of 103021002 is 200120301.

It is a happy number.

It is a super-2 number, since 2×1030210022 = 21226653706168008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (103021001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54127 + ... + 55997.

It is an arithmetic number, because the mean of its divisors is an integer number (2920320).

Almost surely, 2103021002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103021002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140175360).

103021002 is an abundant number, since it is smaller than the sum of its proper divisors (177329718).

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

103021002 is a wasteful number, since it uses less digits than its factorization.

103021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103021002 is about 10149.9262066283. The cubic root of 103021002 is about 468.7866727575.

Adding to 103021002 its reverse (200120301), we get a palindrome (303141303).

The spelling of 103021002 in words is "one hundred three million, twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 38 42 46 57 63 69 114 126 133 138 161 171 207 266 322 342 399 414 437 483 798 874 966 1197 1311 1449 1871 2394 2622 2898 3059 3742 3933 5613 6118 7866 9177 11226 13097 16839 18354 26194 27531 33678 35549 39291 43033 55062 71098 78582 86066 106647 117873 129099 213294 235746 248843 258198 301231 319941 387297 497686 602462 639882 746529 774594 817627 903693 1493058 1635254 1807386 2239587 2452881 2711079 4479174 4905762 5422158 5723389 7358643 11446778 14717286 17170167 34340334 51510501 103021002