Search a number
-
+
2133202233320 = 235473735415623
BaseRepresentation
bin11111000010101100110…
…000101110011111101000
321112221011112100101212222
4133002230300232133220
5234422244232431240
64311551331053212
7310055511543434
oct37025460563750
97487145311788
102133202233320
11752760059234
122a5519141208
131262109aa102
14753673659c4
153a752030eb5
hex1f0acc2e7e8

2133202233320 has 128 divisors (see below), whose sum is σ = 4924928701440. Its totient is φ = 831199656960.

The previous prime is 2133202233313. The next prime is 2133202233343. The reversal of 2133202233320 is 233322023312.

It is a self number, because there is not a number n which added to its sum of digits gives 2133202233320.

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, 379368029 + ... + 379373651.

It is an arithmetic number, because the mean of its divisors is an integer number (38476005480).

Almost surely, 22133202233320 is an apocalyptic number.

2133202233320 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 2133202233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462464350720).

2133202233320 is an abundant number, since it is smaller than the sum of its proper divisors (2791726468120).

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

2133202233320 is a wasteful number, since it uses less digits than its factorization.

2133202233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 2133202233320 its reverse (233322023312), we get a palindrome (2366524256632).

The spelling of 2133202233320 in words is "two trillion, one hundred thirty-three billion, two hundred two million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 373 376 470 541 746 940 1082 1492 1865 1880 2164 2705 2984 3730 4328 5410 5623 7460 10820 11246 14920 17531 21640 22492 25427 28115 35062 44984 50854 56230 70124 87655 101708 112460 127135 140248 175310 201793 203416 224920 254270 264281 350620 403586 508540 528562 701240 807172 1008965 1017080 1057124 1321405 1614344 2017930 2097379 2114248 2642810 3042043 4035860 4194758 5285620 6084086 8071720 8389516 9484271 10486895 10571240 12168172 15210215 16779032 18968542 20973790 24336344 30420430 37937084 41947580 47421355 60840860 75874168 83895160 94842710 98576813 121681720 142976021 189685420 197153626 285952042 379370840 394307252 492884065 571904084 714880105 788614504 985768130 1134682039 1143808168 1429760210 1971536260 2269364078 2859520420 3943072520 4538728156 5673410195 5719040840 9077456312 11346820390 22693640780 45387281560 53330055833 106660111666 213320223332 266650279165 426640446664 533300558330 1066601116660 2133202233320