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31100020 = 22571931151
BaseRepresentation
bin111011010100…
…0110001110100
32011112001012121
41312220301310
530430200040
63030325324
7525226420
oct166506164
964461177
1031100020
11166119a6
12a4b9844
13659b8a3
1441b7b80
152ae4c4a
hex1da8c74

31100020 has 48 divisors (see below), whose sum is σ = 75091968. Its totient is φ = 10598400.

The previous prime is 31100011. The next prime is 31100023. The reversal of 31100020 is 2000113.

It is a super-2 number, since 2×311000202 = 1934422488000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 31099976 and 31100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26445 + ... + 27595.

It is an arithmetic number, because the mean of its divisors is an integer number (1564416).

Almost surely, 231100020 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 31100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37545984).

31100020 is an abundant number, since it is smaller than the sum of its proper divisors (43991948).

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

31100020 is a wasteful number, since it uses less digits than its factorization.

31100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 31100020 is about 5576.7391906023. The cubic root of 31100020 is about 314.4755529588.

Adding to 31100020 its reverse (2000113), we get a palindrome (33100133).

The spelling of 31100020 in words is "thirty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1151 1351 1930 2302 2702 3860 4604 5404 5755 6755 8057 11510 13510 16114 23020 27020 32228 40285 80570 161140 222143 444286 888572 1110715 1555001 2221430 3110002 4442860 6220004 7775005 15550010 31100020