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152253326107300 = 2252112281355712589
BaseRepresentation
bin100010100111100100111101…
…011010110010001010100100
3201222002021110002002020222011
4202213210331122302022210
5124424004302440413200
61255452113514444004
744032640232510145
oct4247447532621244
9658067402066864
10152253326107300
1144570300395a00
12150ab86aa33604
1366c55722b26a2
142985159331acc
1512906d22345ba
hex8a793d6b22a4

152253326107300 has 216 divisors, whose sum is σ = 364579426126440. Its totient is φ = 55147927296000.

The previous prime is 152253326107243. The next prime is 152253326107301. The reversal of 152253326107300 is 3701623352251.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 94300063915684 + 57953262191616 = 9710822^2 + 7612704^2 .

It is a super-2 number, since 2×1522533261073002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152253326107301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12094149406 + ... + 12094161994.

Almost surely, 2152253326107300 is an apocalyptic number.

152253326107300 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 152253326107300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182289713063220).

152253326107300 is an abundant number, since it is smaller than the sum of its proper divisors (212326100019140).

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

152253326107300 is a wasteful number, since it uses less digits than its factorization.

152253326107300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16463 (or 16445 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

Adding to 152253326107300 its reverse (3701623352251), we get a palindrome (155954949459551).

The spelling of 152253326107300 in words is "one hundred fifty-two trillion, two hundred fifty-three billion, three hundred twenty-six million, one hundred seven thousand, three hundred".