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106213332641 = 138279879391
BaseRepresentation
bin110001011101011001…
…1101101011010100001
3101011011012010100021212
41202322303231122201
53220011103121031
6120443240155505
710450031300633
oct1427263553241
9334135110255
10106213332641
1141054725959
1218702768b95
13a028b50230
1451d8322a53
152b6996212b
hex18baced6a1

106213332641 has 8 divisors (see below), whose sum is σ = 114521912064. Its totient is φ = 97924513680.

The previous prime is 106213332637. The next prime is 106213332679. The reversal of 106213332641 is 146233312601.

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

It is a cyclic number.

It is not a de Polignac number, because 106213332641 - 22 = 106213332637 is a prime.

It is a super-2 number, since 2×1062133326412 (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 = 106213332598 and 106213332607.

It is not an unprimeable number, because it can be changed into a prime (106213332611) 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, 4928945 + ... + 4950446.

It is an arithmetic number, because the mean of its divisors is an integer number (14315239008).

Almost surely, 2106213332641 is an apocalyptic number.

It is an amenable number.

106213332641 is a deficient number, since it is larger than the sum of its proper divisors (8308579423).

106213332641 is an equidigital number, since it uses as much as digits as its factorization.

106213332641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880231.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 106213332641 in words is "one hundred six billion, two hundred thirteen million, three hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 13 827 10751 9879391 128432083 8170256357 106213332641