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332130244330104 = 233117933434763663
BaseRepresentation
bin100101110000100100001100…
…1001110111000001001111000
31121112222100012210011200211020
41023201020121032320021320
5322013110220022030404
63134214310004302440
7126646422034210353
oct11341103116701170
91545870183150736
10332130244330104
11969107113412a0
12313010969a1a20
131134299478897c
145c0329237d29a
15285e70ab3ced9
hex12e12193b8278

332130244330104 has 128 divisors (see below), whose sum is σ = 917550283161600. Its totient is φ = 99341788440960.

The previous prime is 332130244330061. The next prime is 332130244330121. The reversal of 332130244330104 is 401033442031233.

It is a happy number.

It is a super-2 number, since 2×3321302443301042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67339777 + ... + 72103439.

It is an arithmetic number, because the mean of its divisors is an integer number (7168361587200).

Almost surely, 2332130244330104 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 332130244330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458775141580800).

332130244330104 is an abundant number, since it is smaller than the sum of its proper divisors (585420038831496).

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

332130244330104 is a wasteful number, since it uses less digits than its factorization.

332130244330104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767105 (or 4767101 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 332130244330104 its reverse (401033442031233), we get a palindrome (733163686361337).

The spelling of 332130244330104 in words is "three hundred thirty-two trillion, one hundred thirty billion, two hundred forty-four million, three hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3343 3476 5214 6686 6952 10029 10428 13372 20058 20856 26744 36773 40116 73546 80232 110319 147092 220638 264097 294184 441276 528194 792291 882552 1056388 1584582 2112776 2905067 3169164 4763663 5810134 6338328 8715201 9527326 11620268 14290989 17430402 19054652 23240536 28581978 34860804 38109304 52400293 57163956 69721608 104800586 114327912 157200879 209601172 314401758 376329377 419202344 628803516 752658754 1128988131 1257607032 1505317508 2257976262 3010635016 4139623147 4515952524 8279246294 9031905048 12418869441 15924925409 16558492588 24837738882 31849850818 33116985176 47774776227 49675477764 63699701636 95549552454 99350955528 127399403272 175174179499 191099104908 350348358998 382198209816 525522538497 700696717996 1051045076994 1258069107311 1401393435992 2102090153988 2516138214622 3774207321933 4204180307976 5032276429244 7548414643866 10064552858488 13838760180421 15096829287732 27677520360842 30193658575464 41516280541263 55355040721684 83032561082526 110710081443368 166065122165052 332130244330104