Search a number
-
+
33110002112 = 261167210477
BaseRepresentation
bin11110110101100000…
…101000100111000000
310011110111022101020112
4132311200220213000
51020302130031422
623113250130452
72251332242255
oct366540504700
9104414271215
1033110002112
1113050807710
126500580a28
1331787b2935
1418614c742c
15cdbb9aee2
hex7b58289c0

33110002112 has 84 divisors (see below), whose sum is σ = 72768326904. Its totient is φ = 14823959040.

The previous prime is 33110002099. The next prime is 33110002139. The reversal of 33110002112 is 21120001133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3155018 + ... + 3165494.

It is an arithmetic number, because the mean of its divisors is an integer number (866289606).

Almost surely, 233110002112 is an apocalyptic number.

33110002112 is a gapful number since it is divisible by the number (32) 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 33110002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36384163452).

33110002112 is an abundant number, since it is smaller than the sum of its proper divisors (39658324792).

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

33110002112 is a wasteful number, since it uses less digits than its factorization.

33110002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 33110002112 its reverse (21120001133), we get a palindrome (54230003245).

The spelling of 33110002112 in words is "thirty-three billion, one hundred ten million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 268 352 536 704 737 1072 1474 2144 2948 4288 4489 5896 8978 10477 11792 17956 20954 23584 35912 41908 47168 49379 71824 83816 98758 115247 143648 167632 197516 230494 287296 335264 395032 460988 670528 701959 790064 921976 1403918 1580128 1843952 2807836 3160256 3687904 5615672 7375808 7721549 11231344 15443098 22462688 30886196 44925376 47031253 61772392 94062506 123544784 188125012 247089568 376250024 494179136 517343783 752500048 1034687566 1505000096 2069375132 3010000192 4138750264 8277500528 16555001056 33110002112