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20121111031338 = 2332330895244601
BaseRepresentation
bin1001001001100110011111…
…01011001110111000101010
32122020120002211020100122000
410210303033223032320222
510114131013411000323
6110443302155511430
74144462613553462
oct444631753167052
978216084210560
1020121111031338
116458351691479
12230b733458576
13b2c549711ba5
144d7c1cd74ba2
1524d5e2650e43
hex124ccfacee2a

20121111031338 has 64 divisors (see below), whose sum is σ = 46672762118400. Its totient is φ = 6413348620800.

The previous prime is 20121111031337. The next prime is 20121111031391. The reversal of 20121111031338 is 83313011112102.

20121111031338 is a `hidden beast` number, since 2 + 0 + 1 + 211 + 110 + 3 + 1 + 338 = 666.

It is a super-3 number, since 3×201211110313383 (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20121111031331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214238 + ... + 6458838.

It is an arithmetic number, because the mean of its divisors is an integer number (729261908100).

Almost surely, 220121111031338 is an apocalyptic number.

20121111031338 is an abundant number, since it is smaller than the sum of its proper divisors (26551651087062).

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

20121111031338 is a wasteful number, since it uses less digits than its factorization.

20121111031338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247724 (or 5247718 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 20121111031338 in words is "twenty trillion, one hundred twenty-one billion, one hundred eleven million, thirty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 3089 6178 9267 18534 27801 55602 71047 83403 142094 166806 213141 426282 639423 1278846 1918269 3836538 5244601 10489202 15733803 31467606 47201409 94402818 120625823 141604227 241251646 283208454 361877469 723754938 1085632407 2171264814 3256897221 6513794442 16200572489 32401144978 48601717467 97203434934 145805152401 291610304802 372613167247 437415457203 745226334494 874830914406 1117839501741 2235679003482 3353518505223 6707037010446 10060555515669 20121111031338