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5412351322100 = 22521923157788869
BaseRepresentation
bin100111011000010100101…
…0001110010011111110100
3201011102020001212200002002
41032300221101302133310
51202133443414301400
615302222212234432
71066013053111442
oct116605121623764
921142201780062
105412351322100
1117a7402248a78
12734b4960ba18
133034c8594008
14149d60099b92
1595bc3635ed5
hex4ec294727f4

5412351322100 has 144 divisors (see below), whose sum is σ = 12982654473600. Its totient is φ = 1949324382720.

The previous prime is 5412351322099. The next prime is 5412351322117. The reversal of 5412351322100 is 12231532145.

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, 6466466 + ... + 7255334.

Almost surely, 25412351322100 is an apocalyptic number.

5412351322100 is a gapful number since it is divisible by the number (50) 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 5412351322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491327236800).

5412351322100 is an abundant number, since it is smaller than the sum of its proper divisors (7570303151500).

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

5412351322100 is a wasteful number, since it uses less digits than its factorization.

5412351322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789082 (or 789075 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 5412351322100 its reverse (12231532145), we get a palindrome (5424582854245).

The spelling of 5412351322100 in words is "five trillion, four hundred twelve billion, three hundred fifty-one million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 157 190 230 314 380 437 460 475 575 628 785 874 950 1150 1570 1748 1900 2185 2300 2983 3140 3611 3925 4370 5966 7222 7850 8740 10925 11932 14444 14915 15700 18055 21850 29830 36110 43700 59660 68609 72220 74575 90275 137218 149150 180550 274436 298300 343045 361100 686090 788869 1372180 1577738 1715225 3155476 3430450 3944345 6860900 7888690 14988511 15777380 18143987 19721725 29977022 36287974 39443450 59954044 72575948 74942555 78886900 90719935 123852433 149885110 181439870 247704866 299770220 344735753 362879740 374712775 453599675 495409732 619262165 689471506 749425550 907199350 1238524330 1378943012 1498851100 1723678765 1814398700 2353196227 2477048660 2848605959 3096310825 3447357530 4706392454 5697211918 6192621650 6894715060 8618393825 9412784908 11394423836 11765981135 12385243300 14243029795 17236787650 23531962270 28486059590 34473575300 47063924540 54123513221 56972119180 58829905675 71215148975 108247026442 117659811350 142430297950 216494052884 235319622700 270617566105 284860595900 541235132210 1082470264420 1353087830525 2706175661050 5412351322100