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2320000132320 = 2532513123931631
BaseRepresentation
bin100001110000101010110…
…010001010010011100000
322012210022210112212110200
4201300222302022103200
5301002330013213240
64533443210225200
7326420523515163
oct41605262122340
98183283485420
102320000132320
118149a7657562
1231576b425200
1313aa0cab5bb0
1480407d0dada
1540536431930
hex21c2ac8a4e0

2320000132320 has 144 divisors (see below), whose sum is σ = 8526000555072. Its totient is φ = 571076951040.

The previous prime is 2320000132283. The next prime is 2320000132343. The reversal of 2320000132320 is 232310000232.

It is a happy number.

2320000132320 is a `hidden beast` number, since 2 + 320 + 0 + 0 + 0 + 1 + 323 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23200001323202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2320000132293 and 2320000132302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61947096 + ... + 61984535.

It is an arithmetic number, because the mean of its divisors is an integer number (59208337188).

Almost surely, 22320000132320 is an apocalyptic number.

2320000132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320000132320 is an abundant number, since it is smaller than the sum of its proper divisors (6206000422752).

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

2320000132320 is a wasteful number, since it uses less digits than its factorization.

2320000132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123931665 (or 123931654 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2320000132320 its reverse (232310000232), we get a palindrome (2552310132552).

The spelling of 2320000132320 in words is "two trillion, three hundred twenty billion, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 123931631 247863262 371794893 495726524 619658155 743589786 991453048 1115384679 1239316310 1487179572 1611111203 1858974465 1982906096 2230769358 2478632620 2974359144 3222222406 3717948930 3965812192 4461538716 4833333609 4957265240 5576923395 5948718288 6444444812 7435897860 8055556015 8923077432 9666667218 9914530480 11153846790 11897436576 12888889624 14500000827 14871795720 16111112030 17846154864 19333334436 19829060960 22307693580 24166668045 25777779248 29000001654 29743591440 32222224060 35692309728 38666668872 44615387160 48333336090 51555558496 58000003308 59487182880 64444448120 72500004135 77333337744 89230774320 96666672180 116000006616 128888896240 145000008270 154666675488 178461548640 193333344360 232000013232 257777792480 290000016540 386666688720 464000026464 580000033080 773333377440 1160000066160 2320000132320