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1030033332120 = 2335137143121577
BaseRepresentation
bin11101111110100101100…
…01010101011110011000
310122110200210102202221010
432333102301111132120
5113334002013111440
62105105113013520
7134263120602042
oct16772261253630
93573623382833
101030033332120
1136791aa65931
121477640b42a0
1376193531490
1437bd508aa92
151bbd8276580
hexefd2c55798

1030033332120 has 256 divisors, whose sum is σ = 3382657044480. Its totient is φ = 249384038400.

The previous prime is 1030033332113. The next prime is 1030033332149. The reversal of 1030033332120 is 212333300301.

It is a super-3 number, since 3×10300333321203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 47726772 + ... + 47748348.

It is an arithmetic number, because the mean of its divisors is an integer number (13213504080).

Almost surely, 21030033332120 is an apocalyptic number.

1030033332120 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 1030033332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691328522240).

1030033332120 is an abundant number, since it is smaller than the sum of its proper divisors (2352623712360).

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

1030033332120 is a wasteful number, since it uses less digits than its factorization.

1030033332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22106 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1030033332120 its reverse (212333300301), we get a palindrome (1242366632421).

The spelling of 1030033332120 in words is "one trillion, thirty billion, thirty-three million, three hundred thirty-two thousand, one hundred twenty".