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233230112120 = 235174127130869
BaseRepresentation
bin1101100100110110011…
…0010001010101111000
3211022000012121021200202
43121031212101111320
512310123402041440
6255051110421332
722564442146235
oct3311546212570
9738005537622
10233230112120
118aa04355285
1239250361848
1318cbb966b05
14b40751278c
156100948615
hex364d991578

233230112120 has 128 divisors (see below), whose sum is σ = 571307385600. Its totient is φ = 85343846400.

The previous prime is 233230112113. The next prime is 233230112177. The reversal of 233230112120 is 21211032332.

233230112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233230112092 and 233230112101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7540046 + ... + 7570914.

It is an arithmetic number, because the mean of its divisors is an integer number (4463338950).

Almost surely, 2233230112120 is an apocalyptic number.

233230112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233230112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285653692800).

233230112120 is an abundant number, since it is smaller than the sum of its proper divisors (338077273480).

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

233230112120 is a wasteful number, since it uses less digits than its factorization.

233230112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31209 (or 31205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233230112120 its reverse (21211032332), we get a palindrome (254441144452).

The spelling of 233230112120 in words is "two hundred thirty-three billion, two hundred thirty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 271 328 340 410 542 680 697 820 1084 1355 1394 1640 2168 2710 2788 3485 4607 5420 5576 6970 9214 10840 11111 13940 18428 22222 23035 27880 30869 36856 44444 46070 55555 61738 88888 92140 111110 123476 154345 184280 188887 222220 246952 308690 377774 444440 524773 617380 755548 944435 1049546 1234760 1265629 1511096 1888870 2099092 2531258 2623865 3777740 4198184 5062516 5247730 6328145 7555480 8365499 10125032 10495460 12656290 16730998 20990920 21515693 25312580 33461996 41827495 43031386 50625160 66923992 83654990 86062772 107578465 142213483 167309980 172125544 215156930 284426966 334619960 342985459 430313860 568853932 685970918 711067415 860627720 1137707864 1371941836 1422134830 1714927295 2743883672 2844269660 3429854590 5688539320 5830752803 6859709180 11661505606 13719418360 23323011212 29153764015 46646022424 58307528030 116615056060 233230112120