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21330122013330 = 23513823386317203
BaseRepresentation
bin1001101100110010011100…
…10110000111101010010010
32210112010202212200210002020
410312121032112013222102
510243433042213411310
6113210531153032310
74331023210420164
oct466311626075222
983463685623066
1021330122013330
11688406588a719
122485b06855696
13bb9563b236b0
1453a552132934
1526eca3487170
hex13664e587a92

21330122013330 has 128 divisors (see below), whose sum is σ = 55214646423552. Its totient is φ = 5242449593088.

The previous prime is 21330122013329. The next prime is 21330122013341. The reversal of 21330122013330 is 3331022103312.

It is a self number, because there is not a number n which added to its sum of digits gives 21330122013330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239898509 + ... + 1239915711.

It is an arithmetic number, because the mean of its divisors is an integer number (431364425184).

Almost surely, 221330122013330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330122013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27607323211776).

21330122013330 is an abundant number, since it is smaller than the sum of its proper divisors (33884524410222).

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

21330122013330 is a wasteful number, since it uses less digits than its factorization.

21330122013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21912.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21330122013330 its reverse (3331022103312), we get a palindrome (24661144116642).

The spelling of 21330122013330 in words is "twenty-one trillion, three hundred thirty billion, one hundred twenty-two million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 823 1646 2469 3863 4115 4938 7726 8230 10699 11589 12345 17203 19315 21398 23178 24690 32097 34406 38630 50219 51609 53495 57945 64194 86015 100438 103218 106990 115890 150657 160485 172030 223639 251095 258045 301314 320970 447278 502190 516090 670917 753285 1118195 1341834 1506570 2236390 3179249 3354585 6358498 6709170 9537747 14158069 15896245 19075494 28316138 31792490 41330237 42474207 47688735 66455189 70790345 82660474 84948414 95377470 123990711 132910378 141580690 184054897 199365567 206651185 212371035 247981422 332275945 368109794 398731134 413302370 424742070 552164691 619953555 664551890 863917457 920274485 996827835 1104329382 1239907110 1727834914 1840548970 1993655670 2591752371 2760823455 4319587285 5183504742 5521646910 8639174570 12958761855 25917523710 54692620547 109385241094 164077861641 273463102735 328155723282 546926205470 711004067111 820389308205 1422008134222 1640778616410 2133012201333 3555020335555 4266024402666 7110040671110 10665061006665 21330122013330