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234104431110 = 235112975132573
BaseRepresentation
bin1101101000000110110…
…1100010001000000110
3211101021010210021212120
43122001231202020012
512313421213243420
6255313542230410
722625216555214
oct3320155421006
9741233707776
10234104431110
1190312937060
1239455125406
13190cab3b324
14b48b6a5cb4
1561525a0d40
hex3681b62206

234104431110 has 128 divisors (see below), whose sum is σ = 634927196160. Its totient is φ = 54720960000.

The previous prime is 234104431103. The next prime is 234104431117. The reversal of 234104431110 is 11134401432.

It is an interprime number because it is at equal distance from previous prime (234104431103) and next prime (234104431117).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234104431117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7170784 + ... + 7203356.

It is an arithmetic number, because the mean of its divisors is an integer number (4960368720).

Almost surely, 2234104431110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234104431110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317463598080).

234104431110 is an abundant number, since it is smaller than the sum of its proper divisors (400822765050).

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

234104431110 is a wasteful number, since it uses less digits than its factorization.

234104431110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33374.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 234104431110 its reverse (11134401432), we get a palindrome (245238832542).

The spelling of 234104431110 in words is "two hundred thirty-four billion, one hundred four million, four hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 751 870 957 1502 1595 1914 2253 3190 3755 4506 4785 7510 8261 9570 11265 16522 21779 22530 24783 32573 41305 43558 49566 65146 65337 82610 97719 108895 123915 130674 162865 195438 217790 239569 247830 325730 326685 358303 479138 488595 653370 716606 718707 944617 977190 1074909 1197845 1437414 1791515 1889234 2149818 2395690 2833851 3583030 3593535 4723085 5374545 5667702 7187070 9446170 10390787 10749090 14169255 20781574 24462323 28338510 31172361 48924646 51953935 62344722 73386969 103907870 122311615 146773938 155861805 244623230 269085553 311723610 366934845 538171106 709407367 733869690 807256659 1345427765 1418814734 1614513318 2128222101 2690855530 3547036835 4036283295 4256444202 7094073670 7803481037 8072566590 10641110505 15606962074 21282221010 23410443111 39017405185 46820886222 78034810370 117052215555 234104431110