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2233203000132 = 22313107211363317
BaseRepresentation
bin100000011111110101010…
…001011000001101000100
321220111021202102201000010
4200133311101120031010
5243042044432001012
64425530322350220
7320225565204516
oct40376521301504
97814252381003
102233203000132
11791106968465
123009871bb370
131327896c7890
147a132545bb6
153d15636cc3c
hex207f5458344

2233203000132 has 96 divisors (see below), whose sum is σ = 5666853612672. Its totient is φ = 680384618496.

The previous prime is 2233203000131. The next prime is 2233203000163. The reversal of 2233203000132 is 2310003023322.

It is a junction number, because it is equal to n+sod(n) for n = 2233203000099 and 2233203000108.

It is not an unprimeable number, because it can be changed into a prime (2233203000131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35238538 + ... + 35301854.

It is an arithmetic number, because the mean of its divisors is an integer number (59029725132).

Almost surely, 22233203000132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233203000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833426806336).

2233203000132 is an abundant number, since it is smaller than the sum of its proper divisors (3433650612540).

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

2233203000132 is a wasteful number, since it uses less digits than its factorization.

2233203000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65557 (or 65555 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2233203000132 its reverse (2310003023322), we get a palindrome (4543206023454).

The spelling of 2233203000132 in words is "two trillion, two hundred thirty-three billion, two hundred three million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2113 2782 4173 4226 5564 6339 8346 8452 12678 16692 25356 27469 54938 63317 82407 109876 126634 164814 189951 226091 253268 329628 379902 452182 678273 759804 823121 904364 1356546 1646242 2469363 2713092 2939183 3292484 4938726 5878366 6774919 8817549 9877452 11756732 13549838 17635098 20324757 27099676 35270196 40649514 81299028 88073947 133788821 176147894 264221841 267577642 352295788 401366463 528443682 535155284 802732926 1056887364 1605465852 1739254673 3478509346 5217764019 6957018692 10435528038 14315403847 20871056076 28630807694 42946211541 57261615388 85892423082 171784846164 186100250011 372200500022 558300750033 744401000044 1116601500066 2233203000132