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2033021100120 = 2335139320338053
BaseRepresentation
bin11101100101011001100…
…000000010000001011000
321012100120201212112121020
4131211121200002001120
5231302111400200440
64153542413442440
7266611105140003
oct35453140020130
97170521775536
102033021100120
1171422145707a
1228a01a7a0420
131199367baa7a
147058223453a
1537d3be673d0
hex1d959802058

2033021100120 has 128 divisors (see below), whose sum is σ = 6145020806400. Its totient is φ = 538056497664.

The previous prime is 2033021100119. The next prime is 2033021100161. The reversal of 2033021100120 is 210011203302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2033021100120.

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, 53407014 + ... + 53445066.

It is an arithmetic number, because the mean of its divisors is an integer number (48007975050).

Almost surely, 22033021100120 is an apocalyptic number.

2033021100120 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 2033021100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072510403200).

2033021100120 is an abundant number, since it is smaller than the sum of its proper divisors (4111999706280).

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

2033021100120 is a wasteful number, since it uses less digits than its factorization.

2033021100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41409 (or 41405 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2033021100120 its reverse (210011203302), we get a palindrome (2243032303422).

The spelling of 2033021100120 in words is "two trillion, thirty-three billion, twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3203 3336 4170 5560 6406 8340 9609 12812 16015 16680 19218 25624 32030 38053 38436 48045 64060 76106 76872 96090 114159 128120 152212 190265 192180 228318 304424 380530 384360 445217 456636 570795 761060 890434 913272 1141590 1335651 1522120 1780868 2226085 2283180 2671302 3561736 4452170 4566360 5289367 5342604 6678255 8904340 10578734 10685208 13356510 15868101 17808680 21157468 26446835 26713020 31736202 42314936 52893670 53426040 63472404 79340505 105787340 121883759 126944808 158681010 211574680 243767518 317362020 365651277 487535036 609418795 634724040 731302554 975070072 1218837590 1462605108 1828256385 2437675180 2925210216 3656512770 4875350360 7313025540 14626051080 16941842501 33883685002 50825527503 67767370004 84709212505 101651055006 135534740008 169418425010 203302110012 254127637515 338836850020 406604220024 508255275030 677673700040 1016510550060 2033021100120