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33102113044 = 227111319222901
BaseRepresentation
bin11110110101000010…
…100010100100010100
310011102221110120110211
4132311002202210110
51020243120104134
623112405055204
72251205214130
oct366502424424
9104387416424
1033102113044
1113047309520
1264b99b7504
133176c7cb50
1418604323c0
15cdb13d764
hex7b50a2914

33102113044 has 144 divisors (see below), whose sum is σ = 82091028096. Its totient is φ = 11277792000.

The previous prime is 33102113021. The next prime is 33102113047. The reversal of 33102113044 is 44031120133.

It is a super-3 number, since 3×331021130443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33102113047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433994 + ... + 1456894.

It is an arithmetic number, because the mean of its divisors is an integer number (570076584).

Almost surely, 233102113044 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 33102113044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41045514048).

33102113044 is an abundant number, since it is smaller than the sum of its proper divisors (48988915052).

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

33102113044 is a wasteful number, since it uses less digits than its factorization.

33102113044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22974 (or 22953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 33102113044 its reverse (44031120133), we get a palindrome (77133233177).

The spelling of 33102113044 in words is "thirty-three billion, one hundred two million, one hundred thirteen thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 361 364 418 494 532 572 722 836 988 1001 1444 1463 1729 2002 2527 2717 2926 3458 3971 4004 4693 5054 5434 5852 6916 7942 9386 10108 10868 15884 18772 19019 22901 27797 32851 38038 45802 51623 55594 65702 76076 91604 103246 111188 131404 160307 206492 251911 297713 320614 361361 435119 503822 595426 641228 722722 870238 1007644 1190852 1445444 1740476 1763377 2083991 3045833 3274843 3526754 4167982 4786309 5656547 6091666 6549686 7053508 8267261 8335964 9572618 11313094 12183332 13099372 16534522 19145236 22626188 22923901 33069044 33504163 39595829 45847802 57870827 62222017 67008326 79191658 90939871 91695604 107474393 115741654 124444034 134016652 158383316 181879742 214948786 231483308 248888068 363759484 429897572 435554119 636579097 752320751 871108238 1182218323 1273158194 1504641502 1742216476 2364436646 2546316388 3009283004 4728873292 8275528261 16551056522 33102113044