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20123310330324 = 2235612631290469
BaseRepresentation
bin1001001001101010100101…
…10000111001000111010100
32122020202210002121022200000
410210311102300321013110
510114200014421032244
6110444304322251300
74144601250363045
oct444652260710724
978222702538600
1020123310330324
116459280082343
122310047ab6b30
13b2c80a259436
144d7d8b0ac8cc
1524d6c0780169
hex124d52c391d4

20123310330324 has 144 divisors (see below), whose sum is σ = 53819908222080. Its totient is φ = 6572714855040.

The previous prime is 20123310330283. The next prime is 20123310330329. The reversal of 20123310330324 is 42303301332102.

20123310330324 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 3 + 1 + 0 + 330 + 324 = 666.

It is a super-2 number, since 2×201233103303242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123310330329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14948562 + ... + 16239030.

Almost surely, 220123310330324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123310330324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26909954111040).

20123310330324 is an abundant number, since it is smaller than the sum of its proper divisors (33696597891756).

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

20123310330324 is a wasteful number, since it uses less digits than its factorization.

20123310330324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290812 (or 1290798 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20123310330324 its reverse (42303301332102), we get a palindrome (62426611662426).

The spelling of 20123310330324 in words is "twenty trillion, one hundred twenty-three billion, three hundred ten million, three hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 263 324 366 486 526 549 732 789 972 1052 1098 1578 1647 2196 2367 3156 3294 4734 4941 6588 7101 9468 9882 14202 14823 16043 19764 21303 28404 29646 32086 42606 48129 59292 63909 64172 85212 96258 127818 144387 192516 255636 288774 433161 577548 866322 1290469 1299483 1732644 2580938 2598966 3871407 3898449 5161876 5197932 7742814 7796898 11614221 15485628 15593796 23228442 34842663 46456884 69685326 78718609 104527989 139370652 157437218 209055978 236155827 313583967 314874436 339393347 418111956 472311654 627167934 678786694 708467481 944623308 1018180041 1254335868 1357573388 1416934962 2036360082 2125402443 2833869924 3054540123 4072720164 4250804886 6109080246 6376207329 8501609772 9163620369 12218160492 12752414658 18327240738 19128621987 20702994167 25504829316 27490861107 36654481476 38257243974 41405988334 54981722214 62108982501 76514487948 82472583321 82811976668 109963444428 124217965002 164945166642 186326947503 248435930004 329890333284 372653895006 558980842509 745307790012 1117961685018 1676942527527 2235923370036 3353885055054 5030827582581 6707770110108 10061655165162 20123310330324