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33030330132 = 223171914957193
BaseRepresentation
bin11110110000110000…
…101101011100010100
310011020221101121211110
4132300300231130110
51020121231031012
623101322335020
72246344113402
oct366060553424
9104227347743
1033030330132
111300a83a9a8
12649995a470
133165138957
141854aa8472
15cd4bae73c
hex7b0c2d714

33030330132 has 96 divisors (see below), whose sum is σ = 86477328000. Its totient is φ = 9751007232.

The previous prime is 33030330131. The next prime is 33030330133. The reversal of 33030330132 is 23103303033.

It is an interprime number because it is at equal distance from previous prime (33030330131) and next prime (33030330133).

It is a junction number, because it is equal to n+sod(n) for n = 33030330099 and 33030330108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33030330131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 548928 + ... + 606120.

It is an arithmetic number, because the mean of its divisors is an integer number (900805500).

Almost surely, 233030330132 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 33030330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43238664000).

33030330132 is an abundant number, since it is smaller than the sum of its proper divisors (53446997868).

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

33030330132 is a wasteful number, since it uses less digits than its factorization.

33030330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57385 (or 57383 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 33030330132 its reverse (23103303033), we get a palindrome (56133633165).

The spelling of 33030330132 in words is "thirty-three billion, thirty million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 149 204 228 298 323 447 596 646 894 969 1292 1788 1938 2533 2831 3876 5066 5662 7599 8493 10132 11324 15198 16986 30396 33972 48127 57193 96254 114386 144381 171579 192508 228772 288762 343158 577524 686316 972281 1086667 1944562 2173334 2916843 3260001 3889124 4346668 5833686 6520002 8521757 11667372 13040004 17043514 18473339 25565271 34087028 36946678 51130542 55420017 73893356 102261084 110840034 144869869 161913383 221680068 289739738 323826766 434609607 485740149 579479476 647653532 869219214 971480298 1738438428 1942960596 2752527511 5505055022 8257582533 11010110044 16515165066 33030330132