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23132030120232 = 23311683794916139
BaseRepresentation
bin1010100001001110110000…
…11100000011000100101000
310000220101210221200211010220
411100213120130003010220
511012443344202321412
6121110412525210040
74605143161544145
oct520473034030450
9100811727624126
1023132030120232
117409269a52260
122717186100920
13cba45847a427
1459d84c0b93cc
152a1ab57a068c
hex1509d8703128

23132030120232 has 128 divisors (see below), whose sum is σ = 63191586240000. Its totient is φ = 6998128797440.

The previous prime is 23132030120119. The next prime is 23132030120273. The reversal of 23132030120232 is 23202103023132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433292019 + ... + 1433308157.

It is an arithmetic number, because the mean of its divisors is an integer number (493684267500).

Almost surely, 223132030120232 is an apocalyptic number.

23132030120232 is a gapful number since it is divisible by the number (22) 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 23132030120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31595793120000).

23132030120232 is an abundant number, since it is smaller than the sum of its proper divisors (40059556119768).

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

23132030120232 is a wasteful number, since it uses less digits than its factorization.

23132030120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24791 (or 24787 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23132030120232 its reverse (23202103023132), we get a palindrome (46334133143364).

The spelling of 23132030120232 in words is "twenty-three trillion, one hundred thirty-two billion, thirty million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 683 1366 2049 2732 4098 5464 7513 7949 8196 15026 15898 16139 16392 22539 23847 30052 31796 32278 45078 47694 48417 60104 63592 64556 87439 90156 95388 96834 129112 174878 177529 180312 190776 193668 262317 349756 355058 387336 524634 532587 699512 710116 1049268 1065174 1420232 2098536 2130348 4260696 5429167 10858334 11022937 16287501 21716668 22045874 32575002 33068811 43433336 44091748 59720837 65150004 66137622 88183496 119441674 121252307 128288911 130300008 132275244 179162511 238883348 242504614 256577822 264550488 358325022 363756921 384866733 477766696 485009228 513155644 716650044 727513842 769733466 970018456 1026311288 1411178021 1433300088 1455027684 1539466932 2822356042 2910055368 3078933864 4233534063 5644712084 8467068126 11289424168 16934136252 33868272504 87621326213 175242652426 262863978639 350485304852 525727957278 700970609704 963834588343 1051455914556 1927669176686 2102911829112 2891503765029 3855338353372 5783007530058 7710676706744 11566015060116 23132030120232