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33130103020 = 22572774331973
BaseRepresentation
bin11110110110101101…
…010100000011101100
310011111220010121111121
4132312231110003230
51020322301244040
623115245030324
72251665141430
oct366655240354
9104456117447
1033130103020
1113061096833
1265072553a4
13317c9ccc71
14186403a9c0
15cdd81bc4a
hex7b6b540ec

33130103020 has 96 divisors (see below), whose sum is σ = 80024128128. Its totient is φ = 11286024192.

The previous prime is 33130103009. The next prime is 33130103021. The reversal of 33130103020 is 2030103133.

It is a super-2 number, since 2×331301030202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33130102985 and 33130103003.

It is not an unprimeable number, because it can be changed into a prime (33130103021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16790754 + ... + 16792726.

It is an arithmetic number, because the mean of its divisors is an integer number (833584668).

Almost surely, 233130103020 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 33130103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40012064064).

33130103020 is an abundant number, since it is smaller than the sum of its proper divisors (46894025108).

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

33130103020 is a wasteful number, since it uses less digits than its factorization.

33130103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 33130103020 its reverse (2030103133), we get a palindrome (35160206153).

The spelling of 33130103020 in words is "thirty-three billion, one hundred thirty million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 433 554 866 1108 1385 1732 1939 1973 2165 2770 3031 3878 3946 4330 5540 6062 7756 7892 8660 9695 9865 12124 13811 15155 19390 19730 27622 30310 38780 39460 55244 60620 69055 119941 138110 239882 276220 479764 546521 599705 839587 854309 1093042 1199410 1679174 1708618 2186084 2398820 2732605 3358348 3417236 3825647 4197935 4271545 5465210 5980163 7651294 8395870 8543090 10930420 11960326 15302588 16791740 17086180 19128235 23920652 29900815 38256470 59801630 76512940 119603260 236643593 473287186 946574372 1183217965 1656505151 2366435930 3313010302 4732871860 6626020604 8282525755 16565051510 33130103020