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2023344034300 = 2252377119739097
BaseRepresentation
bin11101011100011000101…
…100111101000111111100
321011102121022202122220001
4131130120230331013330
5231122302033044200
64145302244404044
7266116231344061
oct35343054750774
97142538678801
102023344034300
11710105a60316
122881799a6624
13118a5399b214
146dd04d34c68
15379725e876a
hex1d718b3d1fc

2023344034300 has 144 divisors (see below), whose sum is σ = 4596164451648. Its totient is φ = 772411852800.

The previous prime is 2023344034291. The next prime is 2023344034333. The reversal of 2023344034300 is 34304433202.

It is a super-2 number, since 2×20233440343002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51732352 + ... + 51771448.

It is an arithmetic number, because the mean of its divisors is an integer number (31917808692).

Almost surely, 22023344034300 is an apocalyptic number.

2023344034300 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 2023344034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298082225824).

2023344034300 is an abundant number, since it is smaller than the sum of its proper divisors (2572820417348).

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

2023344034300 is a wasteful number, since it uses less digits than its factorization.

2023344034300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39416 (or 39409 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 2023344034300 its reverse (34304433202), we get a palindrome (2057648467502).

The spelling of 2023344034300 in words is "two trillion, twenty-three billion, three hundred forty-four million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 71 74 100 142 148 185 197 284 355 370 394 710 740 788 925 985 1420 1775 1850 1970 2627 3550 3700 3940 4925 5254 7100 7289 9850 10508 13135 13987 14578 19700 26270 27974 29156 36445 39097 52540 55948 65675 69935 72890 78194 131350 139870 145780 156388 182225 195485 262700 279740 349675 364450 390970 517519 699350 728900 781940 977425 1035038 1398700 1446589 1954850 2070076 2587595 2775887 2893178 3909700 5175190 5551774 5786356 7232945 7702109 10350380 11103548 12937975 13879435 14465890 15404218 25875950 27758870 28931780 30808436 36164725 38510545 51751900 55517740 69397175 72329450 77021090 102707819 138794350 144658900 154042180 192552725 205415638 277588700 284978033 385105450 410831276 513539095 546849739 569956066 770210900 1027078190 1093699478 1139912132 1424890165 2054156380 2187398956 2567695475 2734248695 2849780330 5135390950 5468497390 5699560660 7124450825 10270781900 10936994780 13671243475 14248901650 20233440343 27342486950 28497803300 40466880686 54684973900 80933761372 101167201715 202334403430 404668806860 505836008575 1011672017150 2023344034300