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2133210003320 = 2351173127522943
BaseRepresentation
bin11111000010101101001…
…110010111011101111000
321112221012001222011022202
4133002231032113131320
5234422303230101240
64311552205405332
7310055634564464
oct37025516273570
97487161864282
102133210003320
11752764485a20
122a551b869848
1312621249a946
14753683c94a4
153a752a68315
hex1f0ad397778

2133210003320 has 128 divisors (see below), whose sum is σ = 5349591613440. Its totient is φ = 759060771840.

The previous prime is 2133210003311. The next prime is 2133210003361. The reversal of 2133210003320 is 233000123312.

It is a super-2 number, since 2×21332100033202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2133210003292 and 2133210003301.

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, 3817769 + ... + 4340711.

It is an arithmetic number, because the mean of its divisors is an integer number (41793684480).

Almost surely, 22133210003320 is an apocalyptic number.

2133210003320 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 2133210003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674795806720).

2133210003320 is an abundant number, since it is smaller than the sum of its proper divisors (3216381610120).

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

2133210003320 is a wasteful number, since it uses less digits than its factorization.

2133210003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523165 (or 523161 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2133210003320 its reverse (233000123312), we get a palindrome (2366210126632).

The spelling of 2133210003320 in words is "two trillion, one hundred thirty-three billion, two hundred ten million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 127 146 220 254 292 365 440 508 584 635 730 803 1016 1270 1397 1460 1606 2540 2794 2920 3212 4015 5080 5588 6424 6985 8030 9271 11176 13970 16060 18542 27940 32120 37084 46355 55880 74168 92710 101981 185420 203962 370840 407924 509905 522943 815848 1019810 1045886 2039620 2091772 2614715 4079240 4183544 5229430 5752373 10458860 11504746 20917720 23009492 28761865 38174839 46018984 57523730 66413761 76349678 115047460 132827522 152699356 190874195 230094920 265655044 305398712 332068805 381748390 419923229 531310088 664137610 730551371 763496780 839846458 1328275220 1461102742 1526993560 1679692916 2099616145 2656550440 2922205484 3359385832 3652756855 4199232290 4848204553 5844410968 7305513710 8398464580 9696409106 14611027420 16796929160 19392818212 24241022765 29222054840 38785636424 48482045530 53330250083 96964091060 106660500166 193928182120 213321000332 266651250415 426642000664 533302500830 1066605001660 2133210003320