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31101400 = 23521167211
BaseRepresentation
bin111011010100…
…1000111011000
32011112010002201
41312221013120
530430221100
63030335544
7525233431
oct166510730
964463081
1031101400
1116612a40
12a4ba5b4
13659c3c5
1441b8488
152ae536a
hex1da91d8

31101400 has 96 divisors (see below), whose sum is σ = 80441280. Its totient is φ = 11088000.

The previous prime is 31101383. The next prime is 31101403. The reversal of 31101400 is 410113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31101403) 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 23 ways as a sum of consecutive naturals, for example, 147295 + ... + 147505.

It is an arithmetic number, because the mean of its divisors is an integer number (837930).

Almost surely, 231101400 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 31101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40220640).

31101400 is an abundant number, since it is smaller than the sum of its proper divisors (49339880).

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

31101400 is a wasteful number, since it uses less digits than its factorization.

31101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 31101400 is about 5576.8629174474. The cubic root of 31101400 is about 314.4802042939.

Adding to 31101400 its reverse (410113), we get a palindrome (31511513).

The spelling of 31101400 in words is "thirty-one million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 134 200 211 220 268 275 335 422 440 536 550 670 737 844 1055 1100 1340 1474 1675 1688 2110 2200 2321 2680 2948 3350 3685 4220 4642 5275 5896 6700 7370 8440 9284 10550 11605 13400 14137 14740 18425 18568 21100 23210 28274 29480 36850 42200 46420 56548 58025 70685 73700 92840 113096 116050 141370 147400 155507 232100 282740 311014 353425 464200 565480 622028 706850 777535 1244056 1413700 1555070 2827400 3110140 3887675 6220280 7775350 15550700 31101400