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1331002120 = 23578953411
BaseRepresentation
bin100111101010101…
…0111101100001000
310102202111220122211
41033111113230020
510211214031440
6340023554504
744661221440
oct11725275410
93382456584
101331002120
11623352658
123118bba34
131829a1126
14c8ab1120
157bcb5eea
hex4f557b08

1331002120 has 64 divisors (see below), whose sum is σ = 3461097600. Its totient is φ = 451207680.

The previous prime is 1331002109. The next prime is 1331002121. The reversal of 1331002120 is 212001331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331002120.

It is not an unprimeable number, because it can be changed into a prime (1331002121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1786 + ... + 51625.

It is an arithmetic number, because the mean of its divisors is an integer number (54079650).

Almost surely, 21331002120 is an apocalyptic number.

1331002120 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 1331002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730548800).

1331002120 is an abundant number, since it is smaller than the sum of its proper divisors (2130095480).

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

1331002120 is a wasteful number, since it uses less digits than its factorization.

1331002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53518 (or 53514 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1331002120 is about 36482.9017486274. The cubic root of 1331002120 is about 1100.0005840217. Note that the first 3 decimals are identical.

Adding to 1331002120 its reverse (212001331), we get a palindrome (1543003451).

The spelling of 1331002120 in words is "one billion, three hundred thirty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 12460 24920 53411 106822 213644 267055 373877 427288 534110 747754 1068220 1495508 1869385 2136440 2991016 3738770 4753579 7477540 9507158 14955080 19014316 23767895 33275053 38028632 47535790 66550106 95071580 133100212 166375265 190143160 266200424 332750530 665501060 1331002120