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121421004100 = 2252111037511427
BaseRepresentation
bin111000100010101000…
…0010111110101000100
3102121102001001002122221
41301011100113311010
53442132234112400
6131440253302124
711525632335334
oct1610520276504
9377361032587
10121421004100
1147548a9a580
121b647794944
13b5b070b2b6
145c3bd650c4
153259ae8c1a
hex1c45417d44

121421004100 has 144 divisors (see below), whose sum is σ = 290817386496. Its totient is φ = 43635600000.

The previous prime is 121421004071. The next prime is 121421004101. The reversal of 121421004100 is 1400124121.

It is a happy number.

121421004100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121421004101) 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, 85087587 + ... + 85089013.

It is an arithmetic number, because the mean of its divisors is an integer number (2019565184).

Almost surely, 2121421004100 is an apocalyptic number.

121421004100 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 121421004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145408693248).

121421004100 is an abundant number, since it is smaller than the sum of its proper divisors (169396382396).

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

121421004100 is a wasteful number, since it uses less digits than its factorization.

121421004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121421004100 its reverse (1400124121), we get a palindrome (122821128221).

The spelling of 121421004100 in words is "one hundred twenty-one billion, four hundred twenty-one million, four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 751 1030 1100 1133 1427 1502 2060 2266 2575 2854 3004 3755 4532 5150 5665 5708 7135 7510 8261 10300 11330 14270 15020 15697 16522 18775 22660 28325 28540 31394 33044 35675 37550 41305 56650 62788 71350 75100 77353 78485 82610 113300 142700 146981 154706 156970 165220 206525 293962 309412 313940 386765 392425 413050 587924 734905 773530 784850 826100 850883 1071677 1469810 1547060 1569700 1616791 1701766 1933825 2143354 2939620 3233582 3403532 3674525 3867650 4254415 4286708 5358385 6467164 7349050 7735300 8083955 8508830 10716770 11788447 14698100 16167910 17017660 21272075 21433540 23576894 26791925 32335820 40419775 42544150 47153788 53583850 58942235 80839550 85088300 107167700 110382731 117884470 161679100 220765462 235768940 294711175 441530924 551913655 589422350 1103827310 1178844700 1214210041 2207654620 2428420082 2759568275 4856840164 5519136550 6071050205 11038273100 12142100410 24284200820 30355251025 60710502050 121421004100