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1001021201100 = 2233521133280961
BaseRepresentation
bin11101001000100011000…
…00110101101011001100
310112200210212222211001000
432210101200311223030
5112400042411413400
62043510210220300
7132215144550504
oct16442140655314
93480725884030
101001021201100
1135659240a448
12142007b84690
137351ba19a4b
1436641d12a04
151b08b234600
hexe911835acc

1001021201100 has 144 divisors (see below), whose sum is σ = 3246577518240. Its totient is φ = 264576614400.

The previous prime is 1001021201099. The next prime is 1001021201107. The reversal of 1001021201100 is 11021201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001021201107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335381 + ... + 1945580.

It is an arithmetic number, because the mean of its divisors is an integer number (22545677210).

Almost surely, 21001021201100 is an apocalyptic number.

1001021201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001021201100 is an abundant number, since it is smaller than the sum of its proper divisors (2245556317140).

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

1001021201100 is a wasteful number, since it uses less digits than its factorization.

1001021201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281097 (or 3281084 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001021201100 its reverse (11021201001), we get a palindrome (1012042402101).

Subtracting from 1001021201100 its reverse (11021201001), we obtain a palindrome (990000000099).

The spelling of 1001021201100 in words is "one trillion, one billion, twenty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 113 135 150 180 225 226 270 300 339 450 452 540 565 675 678 900 1017 1130 1350 1356 1695 2034 2260 2700 2825 3051 3390 4068 5085 5650 6102 6780 8475 10170 11300 12204 15255 16950 20340 25425 30510 33900 50850 61020 76275 101700 152550 305100 3280961 6561922 9842883 13123844 16404805 19685766 29528649 32809610 39371532 49214415 59057298 65619220 82024025 88585947 98428830 118114596 147643245 164048050 177171894 196857660 246072075 295286490 328096100 354343788 370748593 442929735 492144150 590572980 738216225 741497186 885859470 984288300 1112245779 1476432450 1482994372 1771718940 1853742965 2214648675 2224491558 2952864900 3336737337 3707485930 4429297350 4448983116 5561228895 6673474674 7414971860 8858594700 9268714825 10010212011 11122457790 13346949348 16683686685 18537429650 20020424022 22244915580 27806144475 33367373370 37074859300 40040848044 50051060055 55612288950 66734746740 83418433425 100102120110 111224577900 166836866850 200204240220 250255300275 333673733700 500510600550 1001021201100