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10121202200112 = 243316801883199
BaseRepresentation
bin1001001101001000011010…
…1010010110111000110000
31022211120120222112221211220
42103102012222112320300
52311311210230400422
633305341024505040
72063142553140303
oct223220652267060
938746528487756
1010121202200112
113252417867953
12117568217b180
1358556b4275b3
1426dc23db8b3a
1512842071ae5c
hex93486a96e30

10121202200112 has 40 divisors (see below), whose sum is σ = 26989872537600. Its totient is φ = 3264903935040.

The previous prime is 10121202200111. The next prime is 10121202200147. The reversal of 10121202200112 is 21100220212101.

It is a junction number, because it is equal to n+sod(n) for n = 10121202200091 and 10121202200100.

It is not an unprimeable number, because it can be changed into a prime (10121202200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3400940112 + ... + 3400943087.

It is an arithmetic number, because the mean of its divisors is an integer number (674746813440).

Almost surely, 210121202200112 is an apocalyptic number.

10121202200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121202200112 is an abundant number, since it is smaller than the sum of its proper divisors (16868670337488).

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

10121202200112 is a wasteful number, since it uses less digits than its factorization.

10121202200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801883241 (or 6801883235 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121202200112 its reverse (21100220212101), we get a palindrome (31221422412213).

The spelling of 10121202200112 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 6801883199 13603766398 20405649597 27207532796 40811299194 54415065592 81622598388 108830131184 163245196776 210858379169 326490393552 421716758338 632575137507 843433516676 1265150275014 1686867033352 2530300550028 3373734066704 5060601100056 10121202200112