Search a number
-
+
20124300342102 = 2311379901832331
BaseRepresentation
bin1001001001101100011011…
…10001011111001101010110
32122020212100002111010111220
410210312031301133031112
510114204031341421402
6110444550445511210
74144634631343545
oct444661561371526
978225302433456
1020124300342102
1164597389a38a0
122310283572506
13b2c9373aa218
144d804277a15c
1524d72c63bdbc
hex124d8dc5f356

20124300342102 has 64 divisors (see below), whose sum is σ = 45098864011008. Its totient is φ = 5932848240000.

The previous prime is 20124300342101. The next prime is 20124300342127.

It is a happy number.

20124300342102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124300342101) 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, 23762077 + ... + 24594407.

It is an arithmetic number, because the mean of its divisors is an integer number (704669750172).

Almost surely, 220124300342102 is an apocalyptic number.

20124300342102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20124300342102 is an abundant number, since it is smaller than the sum of its proper divisors (24974563668906).

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

20124300342102 is a wasteful number, since it uses less digits than its factorization.

20124300342102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842285.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 20124300 and 342102, that added together give a palindrome (20466402).

The spelling of 20124300342102 in words is "twenty trillion, one hundred twenty-four billion, three hundred million, three hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 9901 19802 29703 59406 108911 217822 326733 366337 653466 732674 832331 1099011 1664662 2198022 2496993 4029707 4993986 8059414 9155641 12089121 18311282 24178242 27466923 30796247 54933846 61592494 92388741 184777482 338758717 677517434 1016276151 2032552302 8240909231 16481818462 24722727693 49445455386 90650001541 181300003082 271950004623 304913641547 543900009246 609827283094 914740924641 1829481849282 3354050057017 6708100114034 10062150171051 20124300342102