Search a number
-
+
133030330230 = 23574336174073
BaseRepresentation
bin111101111100100111…
…0011011111101110110
3110201101010000222012210
41323321032123331312
54134421231031410
6141040245354250
712416421102240
oct1737116337566
9421333028183
10133030330230
1151466176086
1221947708986
13c710948445
14661db29090
1536d8de9220
hex1ef939bf76

133030330230 has 128 divisors (see below), whose sum is σ = 373563767808. Its totient is φ = 29684293632.

The previous prime is 133030330217. The next prime is 133030330259. The reversal of 133030330230 is 32033030331.

It is a super-2 number, since 2×1330303302302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133030330197 and 133030330206.

It is a congruent number.

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, 32659474 + ... + 32663546.

It is an arithmetic number, because the mean of its divisors is an integer number (2918466936).

Almost surely, 2133030330230 is an apocalyptic number.

133030330230 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 133030330230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186781883904).

133030330230 is an abundant number, since it is smaller than the sum of its proper divisors (240533437578).

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

133030330230 is a wasteful number, since it uses less digits than its factorization.

133030330230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7750.

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 133030330230 its reverse (32033030331), we get a palindrome (165063360561).

The spelling of 133030330230 in words is "one hundred thirty-three billion, thirty million, three hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 3010 3617 4073 4515 7234 8146 9030 10851 12219 18085 20365 21702 24438 25319 28511 36170 40730 50638 54255 57022 61095 75957 85533 108510 122190 126595 142555 151914 155531 171066 175139 253190 285110 311062 350278 379785 427665 466593 525417 759570 777655 855330 875695 933186 1050834 1088717 1225973 1555310 1751390 2177434 2332965 2451946 2627085 3266151 3677919 4665930 5254170 5443585 6129865 6532302 7355838 10887170 12259730 14732041 16330755 18389595 29464082 32661510 36779190 44196123 73660205 88392246 103124287 147320410 206248574 220980615 309372861 441961230 515621435 618745722 633477763 1031242870 1266955526 1546864305 1900433289 3093728610 3167388815 3800866578 4434344341 6334777630 8868688682 9502166445 13303033023 19004332890 22171721705 26606066046 44343443410 66515165115 133030330230