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331021123020 = 2232572355720507
BaseRepresentation
bin1001101000100100110…
…01010111110111001100
31011122102102122100120100
410310102121113313030
520410412401414040
6412022523251100
732626004056260
oct4642231276714
91148372570510
10331021123020
11118426881155
12541a2379a90
13252a49184c3
14120430360a0
158925c8cb30
hex4d12657dcc

331021123020 has 288 divisors, whose sum is σ = 1199641218048. Its totient is φ = 72238864896.

The previous prime is 331021122977. The next prime is 331021123061. The reversal of 331021123020 is 20321120133.

331021123020 is a `hidden beast` number, since 331 + 0 + 21 + 12 + 302 + 0 = 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 = 331021122984 and 331021123002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16131607 + ... + 16152113.

It is an arithmetic number, because the mean of its divisors is an integer number (4165420896).

Almost surely, 2331021123020 is an apocalyptic number.

331021123020 is a gapful number since it is divisible by the number (30) 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 331021123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599820609024).

331021123020 is an abundant number, since it is smaller than the sum of its proper divisors (868620095028).

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

331021123020 is a wasteful number, since it uses less digits than its factorization.

331021123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21109 (or 21104 counting only the distinct ones).

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

Adding to 331021123020 its reverse (20321120133), we get a palindrome (351342243153).

The spelling of 331021123020 in words is "three hundred thirty-one billion, twenty-one million, one hundred twenty-three thousand, twenty".