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106233525773172 = 223372194342158363
BaseRepresentation
bin11000001001111001101011…
…100100010010001101110100
3111221010211022001210111121000
4120021321223210102031310
5102411012230044220142
61013535001421323300
731243055542031400
oct3011715344221564
9457124261714530
10106233525773172
1130938426884386
12bab8928a06530
134737a1747b6c5
141c33a314b8100
15c435a010414c
hex609e6b912374

106233525773172 has 576 divisors, whose sum is σ = 345917918438400. Its totient is φ = 28019026586880.

The previous prime is 106233525773171. The next prime is 106233525773173. The reversal of 106233525773172 is 271377525332601.

106233525773172 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 3 + 3 + 52 + 577 + 3 + 17 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106233525773171) and next prime (106233525773173).

It is a super-2 number, since 2×1062335257731722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106233525773171) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1820191263 + ... + 1820249625.

Almost surely, 2106233525773172 is an apocalyptic number.

106233525773172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106233525773172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172958959219200).

106233525773172 is an abundant number, since it is smaller than the sum of its proper divisors (239684392665228).

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

106233525773172 is a wasteful number, since it uses less digits than its factorization.

106233525773172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58873 (or 58858 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 106233525773172 in words is "one hundred six trillion, two hundred thirty-three billion, five hundred twenty-five million, seven hundred seventy-three thousand, one hundred seventy-two".