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10033021021320 = 23335111390760727
BaseRepresentation
bin1001000111111111111010…
…1001110110110010001000
31022112010222111002221101000
42101333332221312302020
52303340111340140240
633201034540055000
72053601420400423
oct221777651666210
938463874087330
1010033021021320
113218a86896090
121160572534460
1357a1573850ab
1426985a8929ba
15125eaddb4430
hex91ffea76c88

10033021021320 has 256 divisors, whose sum is σ = 36486937036800. Its totient is φ = 2432032577280.

The previous prime is 10033021021291. The next prime is 10033021021327. The reversal of 10033021021320 is 2312012033001.

10033021021320 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 2 + 10 + 2 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10033021021293 and 10033021021302.

It is not an unprimeable number, because it can be changed into a prime (10033021021327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165184797 + ... + 165245523.

It is an arithmetic number, because the mean of its divisors is an integer number (142527097800).

Almost surely, 210033021021320 is an apocalyptic number.

10033021021320 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 10033021021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243468518400).

10033021021320 is an abundant number, since it is smaller than the sum of its proper divisors (26453916015480).

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

10033021021320 is a wasteful number, since it uses less digits than its factorization.

10033021021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74665 (or 74655 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10033021021320 its reverse (2312012033001), we get a palindrome (12345033054321).

The spelling of 10033021021320 in words is "ten trillion, thirty-three billion, twenty-one million, twenty-one thousand, three hundred twenty".