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13323121322100 = 223521033145129629
BaseRepresentation
bin1100000111100000011111…
…1010011110100001110100
31202011200022020021102020120
43001320013322132201310
53221241223024301400
644200320223531540
72543364236462262
oct301700772364164
952150266242216
1013323121322100
114277338720557
1215b213a459bb0
13758498a43ab5
14340bb1bd7432
15181871b1cca0
hexc1e07e9e874

13323121322100 has 144 divisors (see below), whose sum is σ = 38613443373120. Its totient is φ = 3546827136000.

The previous prime is 13323121322023. The next prime is 13323121322123. The reversal of 13323121322100 is 122312132331.

13323121322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449650086 + ... + 449679714.

Almost surely, 213323121322100 is an apocalyptic number.

13323121322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323121322100 is an abundant number, since it is smaller than the sum of its proper divisors (25290322051020).

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

13323121322100 is a wasteful number, since it uses less digits than its factorization.

13323121322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32130 (or 32123 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13323121322100 its reverse (122312132331), we get a palindrome (13445433454431).

The spelling of 13323121322100 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1033 1451 2066 2902 3099 4132 4353 5165 5804 6198 7255 8706 10330 12396 14510 15495 17412 20660 21765 25825 29020 29629 30990 36275 43530 51650 59258 61980 72550 77475 87060 88887 103300 108825 118516 145100 148145 154950 177774 217650 296290 309900 355548 435300 444435 592580 740725 888870 1481450 1498883 1777740 2222175 2962900 2997766 4444350 4496649 5995532 7494415 8888700 8993298 14988830 17986596 22483245 29977660 30606757 37472075 42991679 44966490 61213514 74944150 85983358 89932980 91820271 112416225 122427028 128975037 149888300 153033785 171966716 183640542 214958395 224832450 257950074 306067570 367281084 429916790 449664900 459101355 515900148 612135140 644875185 765168925 859833580 918202710 1074791975 1289750370 1530337850 1836405420 2149583950 2295506775 2579500740 3060675700 3224375925 4299167900 4591013550 6448751850 9182027100 12897503700 44410404407 88820808814 133231213221 177641617628 222052022035 266462426442 444104044070 532924852884 666156066105 888208088140 1110260110175 1332312132210 2220520220350 2664624264420 3330780330525 4441040440700 6661560661050 13323121322100