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3181381820 = 225315778893
BaseRepresentation
bin1011110110100000…
…0000100010111100
322012201022221102022
42331220000202330
523003413204240
61243404015312
7141560204441
oct27550004274
98181287368
103181381820
111392897281
12749531538
133b9150366
1422273d9c8
151394719b5
hexbda008bc

3181381820 has 48 divisors (see below), whose sum is σ = 6909143808. Its totient is φ = 1229230080.

The previous prime is 3181381817. The next prime is 3181381823. The reversal of 3181381820 is 281831813.

It is an interprime number because it is at equal distance from previous prime (3181381817) and next prime (3181381823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3181381823) 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, 353294 + ... + 362186.

It is an arithmetic number, because the mean of its divisors is an integer number (143940496).

Almost surely, 23181381820 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 3181381820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454571904).

3181381820 is an abundant number, since it is smaller than the sum of its proper divisors (3727761988).

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

3181381820 is a wasteful number, since it uses less digits than its factorization.

3181381820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 3181381820 is about 56403.7394150423. The cubic root of 3181381820 is about 1470.7491237829.

The spelling of 3181381820 in words is "three billion, one hundred eighty-one million, three hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 577 620 1154 2308 2885 5770 8893 11540 17786 17887 35572 35774 44465 71548 88930 89435 177860 178870 275683 357740 551366 1102732 1378415 2756830 5131261 5513660 10262522 20525044 25656305 51312610 102625220 159069091 318138182 636276364 795345455 1590690910 3181381820