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21320330133020 = 225191491181318841
BaseRepresentation
bin1001101100100000001101…
…01101000011111000011100
32210111012111110112201111112
410312100012231003320130
510243303014003224040
6113202231403041152
74330225441001162
oct466200655037034
983435443481445
1021320330133020
11687a9a05a4056
1224840335101b8
13bb86632a4289
14539ca38a7232
1526e8cd9d9365
hex136406b43e1c

21320330133020 has 96 divisors (see below), whose sum is σ = 47485776744000. Its totient is φ = 8018239334400.

The previous prime is 21320330132993. The next prime is 21320330133199. The reversal of 21320330133020 is 2033103302312.

It is a super-2 number, since 2×213203301330202 (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 66708800 + ... + 67027640.

It is an arithmetic number, because the mean of its divisors is an integer number (494643507750).

Almost surely, 221320330133020 is an apocalyptic number.

21320330133020 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 21320330133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23742888372000).

21320330133020 is an abundant number, since it is smaller than the sum of its proper divisors (26165446610980).

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

21320330133020 is a wasteful number, since it uses less digits than its factorization.

21320330133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320199 (or 320197 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 21320330133020 its reverse (2033103302312), we get a palindrome (23353433435332).

The spelling of 21320330133020 in words is "twenty-one trillion, three hundred twenty billion, three hundred thirty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 149 190 298 380 596 745 1181 1490 2362 2831 2980 4724 5662 5905 11324 11810 14155 22439 23620 28310 44878 56620 89756 112195 175969 224390 318841 351938 448780 637682 703876 879845 1275364 1594205 1759690 3188410 3343411 3519380 6057979 6376820 6686822 12115958 13373644 16717055 24231916 30289895 33434110 47507309 60579790 66868220 95014618 121159580 190029236 237536545 376551221 475073090 753102442 902638871 950146180 1506204884 1805277742 1882756105 3610555484 3765512210 4513194355 7154473199 7531024420 9026388710 14308946398 18052777420 28617892796 35772365995 56106131929 71544731990 112212263858 143089463980 224424527716 280530659645 561061319290 1066016506651 1122122638580 2132033013302 4264066026604 5330082533255 10660165066510 21320330133020