Search a number
-
+
130320203322000 = 2435321720033887
BaseRepresentation
bin11101101000011010001001…
…011011010001001010010000
3122002102111020001001102010010
4131220122021123101022100
5114040131234022301000
61141100135214234520
736310216061062416
oct3550321133211220
9562374201042103
10130320203322000
113858454037535a
1212748b184b5a40
1357941b0c39aa3
1424277625d12b6
15100edda786d50
hex7686896d1290

130320203322000 has 80 divisors (see below), whose sum is σ = 420152335529472. Its totient is φ = 34752054217600.

The previous prime is 130320203321881. The next prime is 130320203322047. The reversal of 130320203322000 is 223302023031.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10860010944 + ... + 10860022943.

Almost surely, 2130320203322000 is an apocalyptic number.

130320203322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130320203322000 is an abundant number, since it is smaller than the sum of its proper divisors (289832132207472).

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

130320203322000 is a wasteful number, since it uses less digits than its factorization.

130320203322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21720033913 (or 21720033897 counting only the distinct ones).

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

Adding to 130320203322000 its reverse (223302023031), we get a palindrome (130543505345031).

The spelling of 130320203322000 in words is "one hundred thirty trillion, three hundred twenty billion, two hundred three million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 21720033887 43440067774 65160101661 86880135548 108600169435 130320203322 173760271096 217200338870 260640406644 325800508305 347520542192 434400677740 521280813288 543000847175 651601016610 868801355480 1042561626576 1086001694350 1303202033220 1629002541525 1737602710960 2172003388700 2606404066440 2715004235875 3258005083050 4344006777400 5212808132880 5430008471750 6516010166100 8145012707625 8688013554800 10860016943500 13032020332200 16290025415250 21720033887000 26064040664400 32580050830500 43440067774000 65160101661000 130320203322000