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106025210226540 = 2233511232657292081
BaseRepresentation
bin11000000110110111101010…
…111111100010011101101100
3111220101220121012100021121000
4120012313222333202131230
5102344104112304222130
61013255150440240300
731222032356064243
oct3006675277423554
9456356535307530
10106025210226540
11308680481129a0
12ba84490470090
134721199437247
141c2790cc6d95a
15c3ce5bb04260
hex606deafe276c

106025210226540 has 384 divisors, whose sum is σ = 375631098071040. Its totient is φ = 24576218726400.

The previous prime is 106025210226511. The next prime is 106025210226541. The reversal of 106025210226540 is 45622012520601.

106025210226540 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 5 + 2 + 102 + 2 + 6 + 540 = 666.

It is a super-2 number, since 2×1060252102265402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106025210226495 and 106025210226504.

It is not an unprimeable number, because it can be changed into a prime (106025210226541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 362853300 + ... + 363145380.

It is an arithmetic number, because the mean of its divisors is an integer number (978205984560).

Almost surely, 2106025210226540 is an apocalyptic number.

106025210226540 is a gapful number since it is divisible by the number (10) 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 106025210226540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187815549035520).

106025210226540 is an abundant number, since it is smaller than the sum of its proper divisors (269605887844500).

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

106025210226540 is a wasteful number, since it uses less digits than its factorization.

106025210226540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294790 (or 294782 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 106025210226540 in words is "one hundred six trillion, twenty-five billion, two hundred ten million, two hundred twenty-six thousand, five hundred forty".