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31103100 = 22325274937
BaseRepresentation
bin111011010100…
…1100001111100
32011112012102200
41312221201330
530430244400
63030351500
7525241410
oct166514174
964465380
1031103100
1116614246
12a4bb590
1365a0102
1441b8d40
152ae5b00
hex1da987c

31103100 has 108 divisors (see below), whose sum is σ = 111440784. Its totient is φ = 7107840.

The previous prime is 31103099. The next prime is 31103117. The reversal of 31103100 is 130113.

It is a super-2 number, since 2×311031002 = 1934805659220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3832 + ... + 8768.

Almost surely, 231103100 is an apocalyptic number.

31103100 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 31103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55720392).

31103100 is an abundant number, since it is smaller than the sum of its proper divisors (80337684).

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

31103100 is a wasteful number, since it uses less digits than its factorization.

31103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 31103100 is about 5577.0153308020. The cubic root of 31103100 is about 314.4859340103.

Adding to 31103100 its reverse (130113), we get a palindrome (31233213).

The spelling of 31103100 in words is "thirty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 4937 6300 9874 14811 19748 24685 29622 34559 44433 49370 59244 69118 74055 88866 98740 103677 123425 138236 148110 172795 177732 207354 222165 246850 296220 311031 345590 370275 414708 444330 493700 518385 622062 691180 740550 863975 888660 1036770 1110825 1244124 1481100 1555155 1727950 2073540 2221650 2591925 3110310 3455900 4443300 5183850 6220620 7775775 10367700 15551550 31103100