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21331235544520 = 235111129128333469
BaseRepresentation
bin1001101100110100100001…
…01101111001110111001000
32210112020122111000000201011
410312122100231321313020
510243442332244411040
6113211233451533304
74331062621320616
oct466322055716710
983466574000634
1021331235544520
1168845873a7130
12248617775a234
13bb96b07312a5
1453a619d946b6
1526ed1b0e23ea
hex136690b79dc8

21331235544520 has 128 divisors (see below), whose sum is σ = 52447275792000. Its totient is φ = 7743670548480.

The previous prime is 21331235544517. The next prime is 21331235544529. The reversal of 21331235544520 is 2544553213312.

It is a super-3 number, since 3×213312355445203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (21331235544529) 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, 637326346 + ... + 637359814.

It is an arithmetic number, because the mean of its divisors is an integer number (409744342125).

Almost surely, 221331235544520 is an apocalyptic number.

21331235544520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331235544520 is an abundant number, since it is smaller than the sum of its proper divisors (31116040247480).

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

21331235544520 is a wasteful number, since it uses less digits than its factorization.

21331235544520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35903 (or 35899 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 21331235544520 its reverse (2544553213312), we get a palindrome (23875788757832).

The spelling of 21331235544520 in words is "twenty-one trillion, three hundred thirty-one billion, two hundred thirty-five million, five hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1129 1283 2258 2566 4516 5132 5645 6415 9032 10264 11290 12419 12830 14113 22580 24838 25660 28226 33469 45160 49676 51320 56452 62095 66938 70565 99352 112904 124190 133876 141130 167345 248380 267752 282260 334690 368159 496760 564520 669380 736318 1338760 1448507 1472636 1840795 2897014 2945272 3681590 5794028 7242535 7363180 11588056 14485070 14726360 15933577 28970140 31867154 37786501 42940727 57940280 63734308 75573002 79667885 85881454 127468616 151146004 159335770 171762908 188932505 214703635 302292008 318671540 343525816 377865010 415651511 429407270 472347997 637343080 755730020 831303022 858814540 944695994 1511460040 1662606044 1717629080 1889391988 2078257555 2361739985 3325212088 3778783976 4156515110 4723479970 8313030220 9446959940 16626060440 18893919880 48480080783 96960161566 193920323132 242400403915 387840646264 484800807830 533280888613 969601615660 1066561777226 1939203231320 2133123554452 2666404443065 4266247108904 5332808886130 10665617772260 21331235544520