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102123410130 = 23257163799023
BaseRepresentation
bin101111100011100000…
…1111001001011010010
3100202121011012202100100
41133013001321023102
53133122043111010
6114525335033230
710243466443410
oct1370701711322
9322534182310
10102123410130
113a346003605
1217960b0b816
139826705c41
144d2b0822b0
1529ca8782c0
hex17c70792d2

102123410130 has 96 divisors (see below), whose sum is σ = 303640856064. Its totient is φ = 23327998848.

The previous prime is 102123410083. The next prime is 102123410131. The reversal of 102123410130 is 31014321201.

102123410130 is a `hidden beast` number, since 1 + 0 + 2 + 123 + 410 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102123410131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981799 + ... + 1080821.

It is an arithmetic number, because the mean of its divisors is an integer number (3162925584).

Almost surely, 2102123410130 is an apocalyptic number.

102123410130 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 102123410130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151820428032).

102123410130 is an abundant number, since it is smaller than the sum of its proper divisors (201517445934).

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

102123410130 is a wasteful number, since it uses less digits than its factorization.

102123410130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100680 (or 100677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102123410130 its reverse (31014321201), we get a palindrome (133137731331).

The spelling of 102123410130 in words is "one hundred two billion, one hundred twenty-three million, four hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1637 3274 4911 8185 9822 11459 14733 16370 22918 24555 29466 34377 49110 57295 68754 73665 99023 103131 114590 147330 171885 198046 206262 297069 343770 495115 515655 594138 693161 891207 990230 1031310 1386322 1485345 1782414 2079483 2970690 3465805 4158966 4456035 6238449 6931610 8912070 10397415 12476898 20794830 31192245 62384490 162100651 324201302 486301953 810503255 972603906 1134704557 1458905859 1621006510 2269409114 2431509765 2917811718 3404113671 4863019530 5673522785 6808227342 7294529295 10212341013 11347045570 14589058590 17020568355 20424682026 34041136710 51061705065 102123410130