Search a number
-
+
103023030 = 235112101281
BaseRepresentation
bin1100010010000…
…00000110110110
321011212010000210
412021000012312
5202333214110
614120050250
72360452455
oct611000666
9234763023
10103023030
1153176800
122a603986
1318461796
14d97ab9c
1590a0520
hex62401b6

103023030 has 96 divisors (see below), whose sum is σ = 275444064. Its totient is φ = 24640000.

The previous prime is 103023029. The next prime is 103023079. The reversal of 103023030 is 30320301.

It is a happy number.

It is a super-2 number, since 2×1030230302 = 21227489420761800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103022997 and 103023015.

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, 366490 + ... + 366770.

It is an arithmetic number, because the mean of its divisors is an integer number (2869209).

Almost surely, 2103023030 is an apocalyptic number.

103023030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103023030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137722032).

103023030 is an abundant number, since it is smaller than the sum of its proper divisors (172421034).

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

103023030 is a wasteful number, since it uses less digits than its factorization.

103023030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 103023030 is about 10150.0261083408. The cubic root of 103023030 is about 468.7897488071.

Adding to 103023030 its reverse (30320301), we get a palindrome (133343331).

The spelling of 103023030 in words is "one hundred three million, twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 121 165 202 242 281 303 330 363 505 562 605 606 726 843 1010 1111 1210 1405 1515 1686 1815 2222 2810 3030 3091 3333 3630 4215 5555 6182 6666 8430 9273 11110 12221 15455 16665 18546 24442 28381 30910 33330 34001 36663 46365 56762 61105 68002 73326 85143 92730 102003 122210 141905 170005 170286 183315 204006 283810 312191 340010 366630 425715 510015 624382 851430 936573 1020030 1560955 1873146 3121910 3434101 4682865 6868202 9365730 10302303 17170505 20604606 34341010 51511515 103023030