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34531120000 = 27541333203
BaseRepresentation
bin100000001010001101…
…110001001110000000
310022010112101122111101
4200022031301032000
51031204431320000
623510253424144
72331466451146
oct401215611600
9108115348441
1034531120000
111370aa0a603
12683849b054
1333440465b0
141958135596
15d71812e6a
hex80a371380

34531120000 has 160 divisors (see below), whose sum is σ = 92578396680. Its totient is φ = 12749568000.

The previous prime is 34531119937. The next prime is 34531120021. The reversal of 34531120000 is 2113543.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 34531120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1023399 + ... + 1056601.

Almost surely, 234531120000 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 34531120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46289198340).

34531120000 is an abundant number, since it is smaller than the sum of its proper divisors (58047276680).

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

34531120000 is an equidigital number, since it uses as much as digits as its factorization.

34531120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33250 (or 33223 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 34531120000 its reverse (2113543), we get a palindrome (34533233543).

The spelling of 34531120000 in words is "thirty-four billion, five hundred thirty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 33203 40000 41600 52000 65000 66406 80000 104000 130000 132812 166015 208000 260000 265624 332030 431639 520000 531248 664060 830075 863278 1040000 1062496 1328120 1660150 1726556 2124992 2158195 2656240 3320300 3453112 4150375 4249984 4316390 5312480 6640600 6906224 8300750 8632780 10624960 10790975 13281200 13812448 16601500 17265560 20751875 21249920 21581950 26562400 27624896 33203000 34531120 41503750 43163900 53124800 53954875 55249792 66406000 69062240 83007500 86327800 106249600 107909750 132812000 138124480 166015000 172655600 215819500 265624000 269774375 276248960 332030000 345311200 431639000 531248000 539548750 664060000 690622400 863278000 1079097500 1328120000 1381244800 1726556000 2158195000 2656240000 3453112000 4316390000 6906224000 8632780000 17265560000 34531120000