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234141201112 = 237132714212819
BaseRepresentation
bin1101101000001111100…
…1110011001011011000
3211101100200222101211111
43122003321303023120
512314010121413422
6255321334310104
722626144241330
oct3320371631330
9741320871744
10234141201112
1190331670995
12394654b8334
1319105643920
14b4925180c0
156155915a77
hex3683e732d8

234141201112 has 128 divisors (see below), whose sum is σ = 543800678400. Its totient is φ = 92033625600.

The previous prime is 234141201097. The next prime is 234141201121. The reversal of 234141201112 is 211102141432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83056839 + ... + 83059657.

It is an arithmetic number, because the mean of its divisors is an integer number (4248442800).

Almost surely, 2234141201112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234141201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271900339200).

234141201112 is an abundant number, since it is smaller than the sum of its proper divisors (309659477288).

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

234141201112 is a wasteful number, since it uses less digits than its factorization.

234141201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 234141201112 its reverse (211102141432), we get a palindrome (445243342544).

The spelling of 234141201112 in words is "two hundred thirty-four billion, one hundred forty-one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 271 364 421 542 728 842 1084 1684 1897 2168 2819 2947 3368 3523 3794 5473 5638 5894 7046 7588 10946 11276 11788 14092 15176 19733 21892 22552 23576 24661 28184 36647 38311 39466 43784 49322 73294 76622 78932 98644 114091 146588 153244 157864 197288 228182 256529 293176 306488 456364 513058 763949 798637 912728 1026116 1186799 1483183 1527898 1597274 2052232 2373598 2966366 3055796 3194548 4747196 5347643 5932732 6111592 6389096 8307593 9494392 9931337 10382281 10695286 11865464 15428387 16615186 19862674 20764562 21390572 30856774 33230372 39725348 41529124 42781144 61713548 66460744 69519359 79450696 83058248 107998709 123427096 139038718 215997418 278077436 321622529 431994836 556154872 643245058 863989672 1286490116 2251357703 2572980232 4181092877 4502715406 8362185754 9005430812 16724371508 18010861624 29267650139 33448743016 58535300278 117070600556 234141201112