Search a number
-
+
120214023231042 = 232132917715004897
BaseRepresentation
bin11011010101010110000010…
…001001101101011001000010
3120202122100101222020200000100
4123111112002021231121002
5111224041304421343132
61103401320533303230
734215114363503526
oct3325260211553102
9522570358220010
10120214023231042
1135338532160454
1211596349194b16
135210197acc9a0
142198565753d86
15dd7098c9b37c
hex6d558226d642

120214023231042 has 48 divisors (see below), whose sum is σ = 290171780229240. Its totient is φ = 35713449870336.

The previous prime is 120214023231031. The next prime is 120214023231047. The reversal of 120214023231042 is 240132320412021.

120214023231042 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 402 + 3 + 231 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58913438409081 + 61300584821961 = 7675509^2 + 7829469^2 .

It is a super-2 number, since 2×1202140232310422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120214023230997 and 120214023231015.

It is not an unprimeable number, because it can be changed into a prime (120214023231047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8857495663 + ... + 8857509234.

Almost surely, 2120214023231042 is an apocalyptic number.

120214023231042 is an abundant number, since it is smaller than the sum of its proper divisors (169957756998198).

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

120214023231042 is a wasteful number, since it uses less digits than its factorization.

120214023231042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17715004947 (or 17715004944 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120214023231042 its reverse (240132320412021), we get a palindrome (360346343643063).

The spelling of 120214023231042 in words is "one hundred twenty trillion, two hundred fourteen billion, twenty-three million, two hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 17715004897 35430009794 53145014691 106290029382 159435044073 230295063661 318870088146 460590127322 513735142013 690885190983 1027470284026 1381770381966 1541205426039 2072655572949 3082410852078 4145311145898 4623616278117 6678556846169 9247232556234 13357113692338 20035670538507 40071341077014 60107011615521 120214023231042