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1022220200100 = 2235211824337579
BaseRepresentation
bin11101110000000010001…
…00100110100010100100
310121201112021122112201010
432320001010212202210
5113222001332400400
62101333530302220
7133565366223351
oct16700104464244
93551467575633
101022220200100
11364580721130
12146143587970
1375519928338
1437693547628
151b8cc38e450
hexee011268a4

1022220200100 has 144 divisors (see below), whose sum is σ = 3226975960320. Its totient is φ = 247774300800.

The previous prime is 1022220200083. The next prime is 1022220200129. The reversal of 1022220200100 is 10020222201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 27183111 + ... + 27220689.

It is an arithmetic number, because the mean of its divisors is an integer number (22409555280).

Almost surely, 21022220200100 is an apocalyptic number.

1022220200100 is a gapful number since it is divisible by the number (10) 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 1022220200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613487980160).

1022220200100 is an abundant number, since it is smaller than the sum of its proper divisors (2204755760220).

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

1022220200100 is a wasteful number, since it uses less digits than its factorization.

1022220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45850 (or 45843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022220200100 its reverse (10020222201), we get a palindrome (1032240422301).

The spelling of 1022220200100 in words is "one trillion, twenty-two billion, two hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 8243 16486 24729 32972 37579 41215 49458 75158 82430 90673 98916 112737 123645 150316 164860 181346 187895 206075 225474 247290 272019 362692 375790 412150 413369 450948 453365 494580 544038 563685 618225 751580 824300 826738 906730 939475 1088076 1127370 1236450 1240107 1360095 1653476 1813460 1878950 2066845 2254740 2266825 2472900 2480214 2720190 2818425 3757900 4133690 4533650 4960428 5440380 5636850 6200535 6800475 8267380 9067300 10334225 11273700 12401070 13600950 20668450 24802140 27201900 31002675 41336900 62005350 124010700 309763697 619527394 929291091 1239054788 1548818485 1858582182 3097636970 3407400667 3717164364 4646455455 6195273940 6814801334 7744092425 9292910910 10222202001 13629602668 15488184850 17037003335 18585821820 20444404002 23232277275 30976369700 34074006670 40888808004 46464554550 51111010005 68148013340 85185016675 92929109100 102222020010 170370033350 204444040020 255555050025 340740066700 511110100050 1022220200100