Search a number
-
+
103002210300 = 223521131212791
BaseRepresentation
bin101111111101101101…
…0001111111111111100
3100211212101211102112210
41133323122033333330
53141422031212200
6115152450500420
710304330225133
oct1377332177774
9324771742483
10103002210300
113a757076140
1217b67294710
1399367b9042
144db1a8091a
152a2cab8650
hex17fb68fffc

103002210300 has 72 divisors (see below), whose sum is σ = 325112441472. Its totient is φ = 24970232000.

The previous prime is 103002210263. The next prime is 103002210301. The reversal of 103002210300 is 3012200301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002210301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15603096 + ... + 15609695.

It is an arithmetic number, because the mean of its divisors is an integer number (4515450576).

Almost surely, 2103002210300 is an apocalyptic number.

103002210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103002210300 is an abundant number, since it is smaller than the sum of its proper divisors (222110231172).

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

103002210300 is a wasteful number, since it uses less digits than its factorization.

103002210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31212819 (or 31212812 counting only the distinct ones).

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

Adding to 103002210300 its reverse (3012200301), we get a palindrome (106014410601).

Subtracting from 103002210300 its reverse (3012200301), we obtain a palindrome (99990009999).

The spelling of 103002210300 in words is "one hundred three billion, two million, two hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 31212791 62425582 93638373 124851164 156063955 187276746 312127910 343340701 374553492 468191865 624255820 686681402 780319775 936383730 1030022103 1373362804 1560639550 1716703505 1872767460 2060044206 2340959325 3121279100 3433407010 4120088412 4681918650 5150110515 6866814020 8583517525 9363837300 10300221030 17167035050 20600442060 25750552575 34334070100 51501105150 103002210300