Search a number
-
+
103002233130 = 232517179376099
BaseRepresentation
bin101111111101101101…
…0010101100100101010
3100211212101212120212100
41133323122111210222
53141422032430010
6115152451154230
710304330351526
oct1377332254452
9324771776770
10103002233130
113a757091305
1217b672a5976
1399367c6554
144db1a88d86
152a2cac02c0
hex17fb69592a

103002233130 has 96 divisors (see below), whose sum is σ = 285143976000. Its totient is φ = 25707050496.

The previous prime is 103002233129. The next prime is 103002233161. The reversal of 103002233130 is 31332200301.

103002233130 is a `hidden beast` number, since 1 + 0 + 300 + 2 + 2 + 331 + 30 = 666.

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

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, 85821 + ... + 461919.

It is an arithmetic number, because the mean of its divisors is an integer number (2970249750).

Almost surely, 2103002233130 is an apocalyptic number.

103002233130 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 103002233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571988000).

103002233130 is an abundant number, since it is smaller than the sum of its proper divisors (182141742870).

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

103002233130 is a wasteful number, since it uses less digits than its factorization.

103002233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376308 (or 376305 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103002233130 its reverse (31332200301), we get a palindrome (134334433431).

The spelling of 103002233130 in words is "one hundred three billion, two million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 179 255 306 358 510 537 765 895 1074 1530 1611 1790 2685 3043 3222 5370 6086 8055 9129 15215 16110 18258 27387 30430 45645 54774 91290 136935 273870 376099 752198 1128297 1880495 2256594 3384891 3760990 5641485 6393683 6769782 11282970 12787366 16924455 19181049 31968415 33848910 38362098 57543147 63936830 67321721 95905245 115086294 134643442 191810490 201965163 287715735 336608605 403930326 575431470 605895489 673217210 1009825815 1144469257 1211790978 2019651630 2288938514 3029477445 3433407771 5722346285 6058954890 6866815542 10300223313 11444692570 17167038855 20600446626 34334077710 51501116565 103002233130