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303023132130 = 23561738327329
BaseRepresentation
bin1000110100011011001…
…01100000110111100010
31001222011012111001101210
410122031211200313202
514431042410212010
6351112405210550
730615124060545
oct4321545406742
91058135431353
10303023132130
11107569727204
124a889a00a56
13227622520a4
141094884a85c
157d37cc1b20
hex468d960de2

303023132130 has 128 divisors (see below), whose sum is σ = 758358961920. Its totient is φ = 77445365760.

The previous prime is 303023132129. The next prime is 303023132161. The reversal of 303023132130 is 31231320303.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 303023132097 and 303023132106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11074306 + ... + 11101634.

It is an arithmetic number, because the mean of its divisors is an integer number (5924679390).

Almost surely, 2303023132130 is an apocalyptic number.

303023132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 303023132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379179480960).

303023132130 is an abundant number, since it is smaller than the sum of its proper divisors (455335829790).

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

303023132130 is a wasteful number, since it uses less digits than its factorization.

303023132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27556.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 303023132130 its reverse (31231320303), we get a palindrome (334254452433).

The spelling of 303023132130 in words is "three hundred three billion, twenty-three million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 73 83 122 146 166 183 219 249 305 365 366 415 438 498 610 730 830 915 1095 1245 1830 2190 2490 4453 5063 6059 8906 10126 12118 13359 15189 18177 22265 25315 26718 27329 30295 30378 36354 44530 50630 54658 60590 66795 75945 81987 90885 133590 136645 151890 163974 181770 273290 369599 409935 739198 819870 1108797 1667069 1847995 1995017 2217594 2268307 3334138 3695990 3990034 4536614 5001207 5543985 5985051 6804921 8335345 9975085 10002414 11087970 11341535 11970102 13609842 16670690 19950170 22683070 25006035 29925255 34024605 50012070 59850510 68049210 121696037 138366727 165586411 243392074 276733454 331172822 365088111 415100181 496759233 608480185 691833635 730176222 827932055 830200362 993518466 1216960370 1383667270 1655864110 1825440555 2075500905 2483796165 3650881110 4151001810 4967592330 10100771071 20201542142 30302313213 50503855355 60604626426 101007710710 151511566065 303023132130