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101012000219 = 139780104679
BaseRepresentation
bin101111000010011001…
…0001100110111011011
3100122201200220021120022
41132010302030313123
53123333033001334
6114223153421055
710204112556314
oct1360462146733
9318650807508
10101012000219
1139925705919
12176b086a78b
1396aa38ba40
144c6361360b
152962edb82e
hex1784c8cddb

101012000219 has 8 divisors (see below), whose sum is σ = 109903620960. Its totient is φ = 92280589056.

The previous prime is 101012000207. The next prime is 101012000227. The reversal of 101012000219 is 912000210101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101012000219 is a prime.

It is a super-2 number, since 2×1010120002192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012000197 and 101012000206.

It is not an unprimeable number, because it can be changed into a prime (101012002219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40051079 + ... + 40053600.

It is an arithmetic number, because the mean of its divisors is an integer number (13737952620).

Almost surely, 2101012000219 is an apocalyptic number.

101012000219 is a deficient number, since it is larger than the sum of its proper divisors (8891620741).

101012000219 is an equidigital number, since it uses as much as digits as its factorization.

101012000219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80104789.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101012000219 in words is "one hundred one billion, twelve million, two hundred nineteen", and thus it is an aban number.

Divisors: 1 13 97 1261 80104679 1041360827 7770153863 101012000219