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20723100431100 = 22352659220347581
BaseRepresentation
bin1001011011000111110010…
…00010100011001011111100
32201101002221111111101112220
410231203321002203023330
510204011402202243400
6112024021053525340
74236123514204014
oct455437102431374
981332844441486
1020723100431100
11666a687a41501
1223a83384a3850
13b74245574902
14519009514c44
1525e0c6e8a7a0
hex12d8f90a32fc

20723100431100 has 144 divisors (see below), whose sum is σ = 60078342656640. Its totient is φ = 5515153862400.

The previous prime is 20723100431071. The next prime is 20723100431149. The reversal of 20723100431100 is 113400132702.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435509310 + ... + 435556890.

Almost surely, 220723100431100 is an apocalyptic number.

20723100431100 is a gapful number since it is divisible by the number (20) 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 20723100431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30039171328320).

20723100431100 is an abundant number, since it is smaller than the sum of its proper divisors (39355242225540).

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

20723100431100 is a wasteful number, since it uses less digits than its factorization.

20723100431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50460 (or 50453 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 20723100431100 its reverse (113400132702), we get a palindrome (20836500563802).

The spelling of 20723100431100 in words is "twenty trillion, seven hundred twenty-three billion, one hundred million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 659 1318 1977 2203 2636 3295 3954 4406 6590 6609 7908 8812 9885 11015 13180 13218 16475 19770 22030 26436 32950 33045 39540 44060 47581 49425 55075 65900 66090 95162 98850 110150 132180 142743 165225 190324 197700 220300 237905 285486 330450 475810 570972 660900 713715 951620 1189525 1427430 1451777 2379050 2854860 2903554 3568575 4355331 4758100 5807108 7137150 7258885 8710662 14274300 14517770 17421324 21776655 29035540 31355879 36294425 43553310 62711758 72588850 87106620 94067637 104820943 108883275 125423516 145177700 156779395 188135274 209641886 217766550 313558790 314462829 376270548 419283772 435533100 470338185 524104715 627117580 628925658 783896975 940676370 1048209430 1257851316 1567793950 1572314145 1881352740 2096418860 2351690925 2620523575 3135587900 3144628290 4703381850 5241047150 6289256580 7861570725 9406763700 10482094300 15723141450 31446282900 69077001437 138154002874 207231004311 276308005748 345385007185 414462008622 690770014370 828924017244 1036155021555 1381540028740 1726925035925 2072310043110 3453850071850 4144620086220 5180775107775 6907700143700 10361550215550 20723100431100