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23121322133140 = 22571173205669117
BaseRepresentation
bin1010100000111010110100…
…01100010100011010010100
310000212101011200201201022101
411100131122030110122110
511012304431431230030
6121101442212011444
74604313626263660
oct520353214243224
9100771150651271
1023121322133140
117404774633050
122715098000b84
13cb943cbb52aa
1459d113cdd8a0
152a168a6937ca
hex15075a314694

23121322133140 has 96 divisors (see below), whose sum is σ = 61365083399424. Its totient is φ = 7107924648960.

The previous prime is 23121322133137. The next prime is 23121322133153. The reversal of 23121322133140 is 4133122312132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 23121322133099 and 23121322133108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102722139 + ... + 102946978.

It is an arithmetic number, because the mean of its divisors is an integer number (639219618744).

Almost surely, 223121322133140 is an apocalyptic number.

23121322133140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121322133140 is an abundant number, since it is smaller than the sum of its proper divisors (38243761266284).

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

23121322133140 is a wasteful number, since it uses less digits than its factorization.

23121322133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205669217 (or 205669215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 23121322133140 its reverse (4133122312132), we get a palindrome (27254444445272).

The spelling of 23121322133140 in words is "twenty-three trillion, one hundred twenty-one billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 10220 11242 16060 22484 28105 56210 112420 205669117 411338234 822676468 1028345585 1439683819 2056691170 2262360287 2879367638 4113382340 4524720574 5758735276 7198419095 9049441148 11311801435 14396838190 15013845541 15836522009 22623602870 28793676380 30027691082 31673044018 45247205740 60055382164 63346088036 75069227705 79182610045 105096918787 150138455410 158365220090 165152300951 210193837574 300276910820 316730440180 330304601902 420387675148 525484593935 660609203804 825761504755 1050969187870 1156066106657 1651523009510 2101938375740 2312132213314 3303046019020 4624264426628 5780330533285 11560661066570 23121322133140