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20132042351304 = 23313461907154321
BaseRepresentation
bin1001001001111010110110…
…01110111010001011001000
32122021121022122102221120110
410210331123032322023020
510114320410320220204
6110452311011554320
74145330530341132
oct444753316721310
978247278387513
1020132042351304
116461a5107aa04
1223118842bb9a0
13b3059c340760
144d8578a88052
1524da32175889
hex124f5b3ba2c8

20132042351304 has 128 divisors (see below), whose sum is σ = 54379467838080. Its totient is φ = 6174182707200.

The previous prime is 20132042351303. The next prime is 20132042351371. The reversal of 20132042351304 is 40315324023102.

It is not an unprimeable number, because it can be changed into a prime (20132042351303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130378464 + ... + 130532784.

It is an arithmetic number, because the mean of its divisors is an integer number (424839592485).

Almost surely, 220132042351304 is an apocalyptic number.

20132042351304 is a gapful number since it is divisible by the number (24) 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 20132042351304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27189733919040).

20132042351304 is an abundant number, since it is smaller than the sum of its proper divisors (34247425486776).

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

20132042351304 is a wasteful number, since it uses less digits than its factorization.

20132042351304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155711 (or 155707 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20132042351304 its reverse (40315324023102), we get a palindrome (60447366374406).

The spelling of 20132042351304 in words is "twenty trillion, one hundred thirty-two billion, forty-two million, three hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 461 907 922 1383 1814 1844 2721 2766 3628 3688 5442 5532 5993 7256 10884 11064 11791 11986 17979 21768 23582 23972 35373 35958 47164 47944 70746 71916 94328 141492 143832 154321 282984 308642 418127 462963 617284 836254 925926 1234568 1254381 1672508 1851852 2006173 2508762 3345016 3703704 4012346 5017524 5435651 6018519 8024692 10035048 10871302 12037038 16049384 16306953 21742604 24074076 32613906 43485208 48148152 65227812 71141981 130455624 139969147 142283962 213425943 279938294 284567924 419907441 426851886 559876588 569135848 839814882 853703772 924845753 1119753176 1679629764 1707407544 1819598911 1849691506 2774537259 3359259528 3639197822 3699383012 5458796733 5549074518 7278395644 7398766024 10917593466 11098149036 14556791288 21835186932 22196298072 43670373864 64525776767 129051553534 193577330301 258103107068 387154660602 516206214136 774309321204 838835097971 1548618642408 1677670195942 2516505293913 3355340391884 5033010587826 6710680783768 10066021175652 20132042351304