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106355054641 = 11471489138157
BaseRepresentation
bin110001100001101000…
…0010101100000110001
3101011112001210120022211
41203003100111200301
53220303343222031
6120505301532121
710453402022413
oct1430320254061
9334461716284
10106355054641
1141117723780
1218742114041
13a04c3112c4
14520d0949b3
152b77108bb1
hex18c3415831

106355054641 has 16 divisors (see below), whose sum is σ = 118572721920. Its totient is φ = 94565018880.

The previous prime is 106355054639. The next prime is 106355054651. The reversal of 106355054641 is 146450553601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106355054641 - 21 = 106355054639 is a prime.

It is a super-2 number, since 2×1063550546412 (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 = 106355054594 and 106355054603.

It is not an unprimeable number, because it can be changed into a prime (106355054621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700735 + ... + 838891.

It is an arithmetic number, because the mean of its divisors is an integer number (7410795120).

Almost surely, 2106355054641 is an apocalyptic number.

106355054641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106355054641 is a deficient number, since it is larger than the sum of its proper divisors (12217667279).

106355054641 is a wasteful number, since it uses less digits than its factorization.

106355054641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139704.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 106355054641 in words is "one hundred six billion, three hundred fifty-five million, fifty-four thousand, six hundred forty-one".

Divisors: 1 11 47 517 1489 16379 69983 138157 769813 1519727 6493379 71427169 205715773 2262873503 9668641331 106355054641