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20030002202320 = 24511257613144479
BaseRepresentation
bin1001000110111100110010…
…01010101000011011010000
32121220211221021220022001021
410203132121022220123100
510111132421030433240
6110333353405245224
74135056061362325
oct443363112503320
977824837808037
1020030002202320
116422749075770
1222b5b47263814
13b23a89c6a386
144d3658abab4c
1524b05dc9754a
hex1237992a86d0

20030002202320 has 160 divisors (see below), whose sum is σ = 51084600376320. Its totient is φ = 7243410309120.

The previous prime is 20030002202293. The next prime is 20030002202411. The reversal of 20030002202320 is 2320220003002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20030002202294 and 20030002202303.

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, 138563841 + ... + 138708319.

It is an arithmetic number, because the mean of its divisors is an integer number (319278752352).

Almost surely, 220030002202320 is an apocalyptic number.

20030002202320 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 20030002202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25542300188160).

20030002202320 is an abundant number, since it is smaller than the sum of its proper divisors (31054598174000).

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

20030002202320 is a wasteful number, since it uses less digits than its factorization.

20030002202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145373 (or 145367 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20030002202320 its reverse (2320220003002), we get a palindrome (22350222205322).

The spelling of 20030002202320 in words is "twenty trillion, thirty billion, two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 257 440 514 613 880 1028 1226 1285 2056 2452 2570 2827 3065 4112 4904 5140 5654 6130 6743 9808 10280 11308 12260 13486 14135 20560 22616 24520 26972 28270 33715 45232 49040 53944 56540 67430 107888 113080 134860 144479 157541 226160 269720 288958 315082 539440 577916 630164 722395 787705 1155832 1260328 1444790 1575410 1589269 1732951 2311664 2520656 2889580 3150820 3178538 3465902 5779160 6301640 6357076 6931804 7946345 8664755 11558320 12603280 12714152 13863608 15892690 17329510 25428304 27727216 31785380 34659020 37131103 63570760 69318040 74262206 88565627 127141520 138636080 148524412 177131254 185655515 297048824 354262508 371311030 408442133 442828135 594097648 708525016 742622060 816884266 885656270 974221897 1417050032 1485244120 1633768532 1771312540 1948443794 2042210665 2970488240 3267537064 3542625080 3896887588 4084421330 4871109485 6535074128 7085250160 7793775176 8168842660 9742218970 15587550352 16337685320 19484437940 22761366139 32675370640 38968875880 45522732278 77937751760 91045464556 113806830695 182090929112 227613661390 250375027529 364181858224 455227322780 500750055058 910454645560 1001500110116 1251875137645 1820909291120 2003000220232 2503750275290 4006000440464 5007500550580 10015001101160 20030002202320