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2000331020032 = 2843921378329
BaseRepresentation
bin11101000110111101000…
…001010001011100000000
321002020012111201102002021
4131012331001101130000
5230233134220120112
64130534523531224
7264343032062032
oct35067501213400
97066174642067
102000331020032
11701376792064
12283816989b14
13116827003507
146cb60819c52
15370770b7907
hex1d1bd051700

2000331020032 has 72 divisors (see below), whose sum is σ = 4004296973600. Its totient is φ = 997300518912.

The previous prime is 2000331020003. The next prime is 2000331020053. The reversal of 2000331020032 is 2300201330002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2000331019988 and 2000331020015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240160444 + ... + 240168772.

Almost surely, 22000331020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000331020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002148486800).

2000331020032 is an abundant number, since it is smaller than the sum of its proper divisors (2003965953568).

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

2000331020032 is an equidigital number, since it uses as much as digits as its factorization.

2000331020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2000331020032 its reverse (2300201330002), we get a palindrome (4300532350034).

The spelling of 2000331020032 in words is "two trillion, three hundred thirty-one million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 439 878 1756 2137 3512 4274 7024 8329 8548 14048 16658 17096 28096 33316 34192 56192 66632 68384 112384 133264 136768 266528 273536 533056 547072 938143 1066112 1876286 2132224 3656431 3752572 7312862 7505144 14625724 15010288 17799073 29251448 30020576 35598146 58502896 60041152 71196292 117005792 120082304 142392584 234011584 240164608 284785168 468023168 569570336 936046336 1139140672 2278281344 4556562688 7813793047 15627586094 31255172188 62510344376 125020688752 250041377504 500082755008 1000165510016 2000331020032