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153230441133000 = 233537114315426401
BaseRepresentation
bin100010110101110010111110…
…000000110011001111001000
3202002112200112220101112110110
4202311302332000303033020
5130041011420412224000
61301521032020514320
744163351114262410
oct4265627600631710
9662480486345413
10153230441133000
11449077353459a0
121522910484b9a0
136766751293aca
1429ba57026d640
1512aad1e80c850
hex8b5cbe0333c8

153230441133000 has 512 divisors, whose sum is σ = 609908102369280. Its totient is φ = 31099622400000.

The previous prime is 153230441132987. The next prime is 153230441133013. The reversal of 153230441133000 is 331144032351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (153230441132987) and next prime (153230441133013).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2219800 + ... + 17646200.

It is an arithmetic number, because the mean of its divisors is an integer number (1191226762440).

Almost surely, 2153230441133000 is an apocalyptic number.

153230441133000 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 153230441133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304954051184640).

153230441133000 is an abundant number, since it is smaller than the sum of its proper divisors (456677661236280).

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

153230441133000 is a wasteful number, since it uses less digits than its factorization.

153230441133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15426486 (or 15426472 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 153230441133000 its reverse (331144032351), we get a palindrome (153561585165351).

The spelling of 153230441133000 in words is "one hundred fifty-three trillion, two hundred thirty billion, four hundred forty-one million, one hundred thirty-three thousand".