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30031000350 = 23521315719803
BaseRepresentation
bin11011111101111111…
…001011001100011110
32212111220121212212020
4123331333023030132
5443000414002400
621443540321010
72112124201611
oct337577131436
985456555766
1030031000350
111181079805a
1259a13a3166
132aa792a4c0
14164c5d8178
15bab6ee2a0
hex6fdfcb31e

30031000350 has 96 divisors (see below), whose sum is σ = 80265112704. Its totient is φ = 7386787200.

The previous prime is 30031000333. The next prime is 30031000379. The reversal of 30031000350 is 5300013003.

30031000350 is a nontrivial binomial coefficient, being equal to C(245076, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058549 + ... + 3068351.

It is an arithmetic number, because the mean of its divisors is an integer number (836094924).

Almost surely, 230031000350 is an apocalyptic number.

30031000350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30031000350 is the 245075-th triangular number and also the 122538-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30031000350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40132556352).

30031000350 is an abundant number, since it is smaller than the sum of its proper divisors (50234112354).

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

30031000350 is a wasteful number, since it uses less digits than its factorization.

30031000350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

Adding to 30031000350 its reverse (5300013003), we get a palindrome (35331013353).

The spelling of 30031000350 in words is "thirty billion, thirty-one million, three hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1571 1950 3142 4713 7855 9426 9803 15710 19606 20423 23565 29409 39275 40846 47130 49015 58818 61269 78550 98030 102115 117825 122538 127439 147045 204230 235650 245075 254878 294090 306345 382317 490150 510575 612690 637195 735225 764634 1021150 1274390 1470450 1531725 1911585 3063450 3185975 3823170 6371950 9557925 15400513 19115850 30801026 46201539 77002565 92403078 154005130 200206669 231007695 385012825 400413338 462015390 600620007 770025650 1001033345 1155038475 1201240014 2002066690 2310076950 3003100035 5005166725 6006200070 10010333450 15015500175 30031000350