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103010004 = 22321729901
BaseRepresentation
bin1100010001111…
…00111011010100
321011211110011100
412020330323110
5202332310004
614115510100
72360366466
oct610747324
9234743140
10103010004
1153167a39
122a5b8330
1318458886
14d976136
15909b739
hex623ced4

103010004 has 54 divisors (see below), whose sum is σ = 276632174. Its totient is φ = 32313600.

The previous prime is 103010003. The next prime is 103010027. The reversal of 103010004 is 400010301.

It can be written as a sum of positive squares in 3 ways, for example, as 71064900 + 31945104 = 8430^2 + 5652^2 .

It is a super-2 number, since 2×1030100042 = 21222121848160032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103010003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5454 + ... + 15354.

Almost surely, 2103010004 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 103010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138316087).

103010004 is an abundant number, since it is smaller than the sum of its proper divisors (173622170).

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

103010004 is a wasteful number, since it uses less digits than its factorization.

103010004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9923 counting only the distinct ones).

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

The square root of 103010004 is about 10149.3844148303. The cubic root of 103010004 is about 468.7699904008.

Adding to 103010004 its reverse (400010301), we get a palindrome (503020305).

The spelling of 103010004 in words is "one hundred three million, ten thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 9901 10404 19802 29703 39604 59406 89109 118812 168317 178218 336634 356436 504951 673268 1009902 1514853 2019804 2861389 3029706 5722778 6059412 8584167 11445556 17168334 25752501 34336668 51505002 103010004