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234244010331100 = 225271157153277233
BaseRepresentation
bin110101010000101100101111…
…000001101100101111011100
31010201101111201211111200001001
4311100230233001230233130
5221200323213121043400
62150110113543000044
7100224366641430310
oct6520545701545734
91121344654450031
10234244010331100
1168701366115330
1222332085139024
13a092166696153
1441bb683441b40
151c13356d95a6a
hexd50b2f06cbdc

234244010331100 has 144 divisors (see below), whose sum is σ = 634846405729536. Its totient is φ = 72883253376000.

The previous prime is 234244010331077. The next prime is 234244010331109. The reversal of 234244010331100 is 1133010442432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234244010331109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22241917 + ... + 31035316.

It is an arithmetic number, because the mean of its divisors is an integer number (4408655595344).

Almost surely, 2234244010331100 is an apocalyptic number.

234244010331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234244010331100 is an abundant number, since it is smaller than the sum of its proper divisors (400602395398436).

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

234244010331100 is a wasteful number, since it uses less digits than its factorization.

234244010331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53277836 (or 53277829 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 234244010331100 its reverse (1133010442432), we get a palindrome (235377020773532).

The spelling of 234244010331100 in words is "two hundred thirty-four trillion, two hundred forty-four billion, ten million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 571 700 770 1100 1142 1540 1925 2284 2855 3850 3997 5710 6281 7700 7994 11420 12562 14275 15988 19985 25124 28550 31405 39970 43967 57100 62810 79940 87934 99925 125620 157025 175868 199850 219835 314050 399700 439670 628100 879340 1099175 2198350 4396700 53277233 106554466 213108932 266386165 372940631 532772330 586049563 745881262 1065544660 1172099126 1331930825 1491762524 1864703155 2344198252 2663861650 2930247815 3729406310 4102346941 5327723300 5860495630 7458812620 8204693882 9323515775 11720991260 14651239075 16409387764 18647031550 20511734705 29302478150 30421300043 37294063100 41023469410 58604956300 60842600086 82046938820 102558673525 121685200172 152106500215 205117347050 212949100301 304213000430 334634300473 410234694100 425898200602 608426000860 669268600946 760532501075 851796401204 1064745501505 1338537201892 1521065002150 1673171502365 2129491003010 2342440103311 3042130004300 3346343004730 4258982006020 4684880206622 5323727507525 6692686009460 8365857511825 9369760413244 10647455015050 11712200516555 16731715023650 21294910030100 23424401033110 33463430047300 46848802066220 58561002582775 117122005165550 234244010331100