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101433343212 = 223261130335449
BaseRepresentation
bin101111001110111100…
…1011111110011101100
3100200211001201201111100
41132131321133303230
53130213413440322
6114333044323100
710220420122455
oct1363571376354
9320731651440
10101433343212
113a021529073
12177a99a3490
139746763b16
144ca357212c
152989eb8dac
hex179de5fcec

101433343212 has 72 divisors (see below), whose sum is σ = 260811605600. Its totient is φ = 33230373120.

The previous prime is 101433343169. The next prime is 101433343243. The reversal of 101433343212 is 212343334101.

It is a happy number.

101433343212 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 334 + 321 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2843664 + ... + 2879112.

Almost surely, 2101433343212 is an apocalyptic number.

101433343212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101433343212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130405802800).

101433343212 is an abundant number, since it is smaller than the sum of its proper divisors (159378262388).

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

101433343212 is a wasteful number, since it uses less digits than its factorization.

101433343212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36823 (or 36818 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 101433343212 its reverse (212343334101), we get a palindrome (313776677313).

The spelling of 101433343212 in words is "one hundred one billion, four hundred thirty-three million, three hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1303 2196 2606 3909 5212 7818 11727 15636 23454 35449 46908 70898 79483 106347 141796 158966 212694 238449 317932 319041 425388 476898 638082 715347 953796 1276164 1430694 2162389 2861388 4324778 6487167 8649556 12974334 19461501 25948668 38923002 46190047 77846004 92380094 138570141 184760188 277140282 415710423 554280564 831420846 1662841692 2817592867 5635185734 8452778601 11270371468 16905557202 25358335803 33811114404 50716671606 101433343212