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121032342100100 = 225217223439727249
BaseRepresentation
bin11011100001010000001001…
…110000011101100010000100
3120212112120122000120101010202
4123201100021300131202010
5111330443214034200400
61105225253530510032
734331204160226214
oct3341201160354204
9525476560511122
10121032342100100
1135623589899652
12116a8a66595318
13526c3bb083142
1421c5dd49cc244
15ded4e04314d5
hex6e1409c1d884

121032342100100 has 144 divisors (see below), whose sum is σ = 279973330560000. Its totient is φ = 45257399377920.

The previous prime is 121032342100073. The next prime is 121032342100157. The reversal of 121032342100100 is 1001243230121.

121032342100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 166061276 + ... + 166788524.

It is an arithmetic number, because the mean of its divisors is an integer number (1944259240000).

Almost surely, 2121032342100100 is an apocalyptic number.

121032342100100 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 121032342100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139986665280000).

121032342100100 is an abundant number, since it is smaller than the sum of its proper divisors (158940988459900).

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

121032342100100 is a wasteful number, since it uses less digits than its factorization.

121032342100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727942 (or 727935 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121032342100100 its reverse (1001243230121), we get a palindrome (122033585330221).

The spelling of 121032342100100 in words is "one hundred twenty-one trillion, thirty-two billion, three hundred forty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 223 340 425 439 446 850 878 892 1115 1700 1756 2195 2230 3791 4390 4460 5575 7463 7582 8780 10975 11150 14926 15164 18955 21950 22300 29852 37315 37910 43900 74630 75820 94775 97897 149260 186575 189550 195794 373150 379100 391588 489485 727249 746300 978970 1454498 1664249 1957940 2447425 2908996 3328498 3636245 4894850 6656996 7272490 8321245 9789700 12363233 14544980 16642490 18181225 24726466 33284980 36362450 41606225 49452932 61816165 72724900 83212450 123632330 162176527 166424900 247264660 309080825 319262311 324353054 618161650 638524622 648706108 810882635 1236323300 1277049244 1596311555 1621765270 2757000959 3192623110 3243530540 4054413175 5427459287 5514001918 6385246220 7981557775 8108826350 10854918574 11028003836 13785004795 15963115550 16217652700 21709837148 27137296435 27570009590 31926231100 54274592870 55140019180 68925023975 71195495353 108549185740 135686482175 137850047950 142390990706 271372964350 275700095900 284781981412 355977476765 542745928700 711954953530 1210323421001 1423909907060 1779887383825 2420646842002 3559774767650 4841293684004 6051617105005 7119549535300 12103234210010 24206468420020 30258085525025 60516171050050 121032342100100