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101210199966 = 23261145363439
BaseRepresentation
bin101111001000010011…
…0010001011110011110
3100200020111211212111200
41132100212101132132
53124234302344331
6114254553500330
710212040335201
oct1362046213636
9320214755450
10101210199966
1139a17579267
12177471116a6
13970c4657b5
144c81a87938
1529755dc5e6
hex179099179e

101210199966 has 48 divisors (see below), whose sum is σ = 223040575680. Its totient is φ = 33160311360.

The previous prime is 101210199953. The next prime is 101210199973. The reversal of 101210199966 is 669991012101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1563675 + ... + 1627113.

It is an arithmetic number, because the mean of its divisors is an integer number (4646678660).

Almost surely, 2101210199966 is an apocalyptic number.

101210199966 is an abundant number, since it is smaller than the sum of its proper divisors (121830375714).

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

101210199966 is a wasteful number, since it uses less digits than its factorization.

101210199966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64961 (or 64958 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 101210199966 in words is "one hundred one billion, two hundred ten million, one hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 1453 2906 4359 8718 13077 26154 63439 88633 126878 177266 190317 265899 380634 531798 570951 797697 1141902 1595394 3869779 7739558 11609337 23218674 34828011 69656022 92176867 184353734 276530601 553061202 829591803 1659183606 5622788887 11245577774 16868366661 33736733322 50605099983 101210199966