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2000102414232 = 233132493121897
BaseRepresentation
bin11101000110101111011…
…001001101011110011000
321002012121120120000212210
4131012233121031132120
5230232202204223412
64130500120035120
7264334255003566
oct35065731153630
97065546500783
102000102414232
1170126974114a
12283772302aa0
131167bb841a00
146cb3c30ca36
1537061eac83c
hex1d1af64d798

2000102414232 has 48 divisors (see below), whose sum is σ = 5414478440040. Its totient is φ = 615416126208.

The previous prime is 2000102414159. The next prime is 2000102414237. The reversal of 2000102414232 is 2324142010002.

It is a super-2 number, since 2×20001024142322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000102414199 and 2000102414208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000102414237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246556893 + ... + 246565004.

Almost surely, 22000102414232 is an apocalyptic number.

It is an amenable number.

2000102414232 is an abundant number, since it is smaller than the sum of its proper divisors (3414376025808).

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

2000102414232 is a wasteful number, since it uses less digits than its factorization.

2000102414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493121932 (or 493121915 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2000102414232 its reverse (2324142010002), we get a palindrome (4324244424234).

The spelling of 2000102414232 in words is "two trillion, one hundred two million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 493121897 986243794 1479365691 1972487588 2958731382 3944975176 5917462764 6410584661 11834925528 12821169322 19231753983 25642338644 38463507966 51284677288 76927015932 83337600593 153854031864 166675201186 250012801779 333350402372 500025603558 666700804744 1000051207116 2000102414232