Search a number
-
+
20202000003300 = 22352167659611887
BaseRepresentation
bin1001001011111101001010…
…00010001011000011100100
32122112021220010002212220110
410211332211002023003210
510121442144000101200
6110544400511133020
74153355251513203
oct445764502130344
978467803085813
1020202000003300
116489690378325
122323348b14170
13b3706aa7b8cb
144dbad3bd923a
15250778bbdb50
hex125fa508b0e4

20202000003300 has 144 divisors (see below), whose sum is σ = 58890450769920. Its totient is φ = 5346806720640.

The previous prime is 20202000003257. The next prime is 20202000003373. The reversal of 20202000003300 is 330000020202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 32709957 + ... + 33321843.

It is an arithmetic number, because the mean of its divisors is an integer number (408961463680).

Almost surely, 220202000003300 is an apocalyptic number.

20202000003300 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 20202000003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29445225384960).

20202000003300 is an abundant number, since it is smaller than the sum of its proper divisors (38688450766620).

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

20202000003300 is a wasteful number, since it uses less digits than its factorization.

20202000003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612730 (or 612723 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20202000003300 its reverse (330000020202), we get a palindrome (20532000023502).

The spelling of 20202000003300 in words is "twenty trillion, two hundred two billion, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 659 668 835 1002 1318 1670 1977 2004 2505 2636 3295 3340 3954 4175 5010 6590 7908 8350 9885 10020 12525 13180 16475 16700 19770 25050 32950 39540 49425 50100 65900 98850 110053 197700 220106 330159 440212 550265 611887 660318 1100530 1223774 1320636 1650795 1835661 2201060 2447548 2751325 3059435 3301590 3671322 5502650 6118870 6603180 7342644 8253975 9178305 11005300 12237740 15297175 16507950 18356610 30594350 33015900 36713220 45891525 61188700 91783050 102185129 183566100 204370258 306555387 403233533 408740516 510925645 613110774 806467066 1021851290 1209700599 1226221548 1532776935 1612934132 2016167665 2043702580 2419401198 2554628225 3065553870 4032335330 4838802396 5109256450 6048502995 6131107740 7663884675 8064670660 10080838325 10218512900 12097005990 15327769350 20161676650 24194011980 30242514975 30655538700 40323353300 60485029950 67340000011 120970059900 134680000022 202020000033 269360000044 336700000055 404040000066 673400000110 808080000132 1010100000165 1346800000220 1683500000275 2020200000330 3367000000550 4040400000660 5050500000825 6734000001100 10101000001650 20202000003300