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30031310100 = 223521110698513
BaseRepresentation
bin11011111110000000…
…010110110100010100
32212111221012121202110
4123332000112310110
5443001003410400
621443551111020
72112126631641
oct337600266424
985457177673
1030031310100
1111810989850
1259a1512470
132aa7a0849c
14164c678dc8
15bab760e50
hex6fe016d14

30031310100 has 144 divisors (see below), whose sum is σ = 94889551680. Its totient is φ = 7272652800.

The previous prime is 30031310087. The next prime is 30031310117. The reversal of 30031310100 is 101313003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3523444 + ... + 3531956.

It is an arithmetic number, because the mean of its divisors is an integer number (658955220).

Almost surely, 230031310100 is an apocalyptic number.

30031310100 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 30031310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47444775840).

30031310100 is an abundant number, since it is smaller than the sum of its proper divisors (64858241580).

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

30031310100 is a wasteful number, since it uses less digits than its factorization.

30031310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 30031310100 its reverse (101313003), we get a palindrome (30132623103).

The spelling of 30031310100 in words is "thirty billion, thirty-one million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1069 1100 1650 2138 3207 3300 4276 5345 6414 8513 10690 11759 12828 16035 17026 21380 23518 25539 26725 32070 34052 35277 42565 47036 51078 53450 58795 64140 70554 80175 85130 93643 102156 106900 117590 127695 141108 160350 170260 176385 187286 212825 235180 255390 280929 293975 320700 352770 374572 425650 468215 510780 561858 587950 638475 705540 851300 881925 936430 1123716 1175900 1276950 1404645 1763850 1872860 2341075 2553900 2809290 3527700 4682150 5618580 7023225 9100397 9364300 14046450 18200794 27301191 28092900 36401588 45501985 54602382 91003970 100104367 109204764 136505955 182007940 200208734 227509925 273011910 300313101 400417468 455019850 500521835 546023820 600626202 682529775 910039700 1001043670 1201252404 1365059550 1501565505 2002087340 2502609175 2730119100 3003131010 5005218350 6006262020 7507827525 10010436700 15015655050 30031310100