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106006363153 = 2373325919373
BaseRepresentation
bin110001010111001111…
…0001011110000010001
3101010121202200012112021
41202232132023300101
53214100112110103
6120410524131441
710441636135225
oct1425636136021
9333552605467
10106006363153
1140a58912699
1218665396b81
139cc4cc5892
1451b8a48785
152b566ccbbd
hex18ae78bc11

106006363153 has 16 divisors (see below), whose sum is σ = 112170810240. Its totient is φ = 99972537984.

The previous prime is 106006363087. The next prime is 106006363219. The reversal of 106006363153 is 351363600601.

It is an interprime number because it is at equal distance from previous prime (106006363087) and next prime (106006363219).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106006363153 is a prime.

It is a super-2 number, since 2×1060063631532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106006363753) 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, 5462175 + ... + 5481547.

It is an arithmetic number, because the mean of its divisors is an integer number (7010675640).

Almost surely, 2106006363153 is an apocalyptic number.

It is an amenable number.

106006363153 is a deficient number, since it is larger than the sum of its proper divisors (6164447087).

106006363153 is a wasteful number, since it uses less digits than its factorization.

106006363153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22728.

The product of its (nonzero) digits is 29160, while the sum is 34.

Adding to 106006363153 its reverse (351363600601), we get a palindrome (457369963754).

The spelling of 106006363153 in words is "one hundred six billion, six million, three hundred sixty-three thousand, one hundred fifty-three".

Divisors: 1 23 73 1679 3259 19373 74957 237907 445579 1414229 5471861 32527267 63136607 1452141961 4608972311 106006363153