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121340002100 = 2252192112931033
BaseRepresentation
bin111000100000001101…
…1010111111100110100
3102121012101121202210212
41301000123113330310
53442001020031400
6131424241204552
711523630000032
oct1610033277464
9377171552725
10121340002100
11475072a4579
121b624630758
13b5999b9b15
145c312bb552
153252948335
hex1c406d7f34

121340002100 has 144 divisors (see below), whose sum is σ = 279700639680. Its totient is φ = 45563212800.

The previous prime is 121340002099. The next prime is 121340002139. The reversal of 121340002100 is 1200043121.

It is a super-2 number, since 2×1213400021002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117463184 + ... + 117464216.

Almost surely, 2121340002100 is an apocalyptic number.

121340002100 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 121340002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139850319840).

121340002100 is an abundant number, since it is smaller than the sum of its proper divisors (158360637580).

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

121340002100 is a wasteful number, since it uses less digits than its factorization.

121340002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 121340002100 its reverse (1200043121), we get a palindrome (122540045221).

The spelling of 121340002100 in words is "one hundred twenty-one billion, three hundred forty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 211 293 380 422 475 586 844 950 1033 1055 1172 1465 1900 2066 2110 2930 4009 4132 4220 5165 5275 5567 5860 7325 8018 10330 10550 11134 14650 16036 19627 20045 20660 21100 22268 25825 27835 29300 39254 40090 51650 55670 61823 78508 80180 98135 100225 103300 111340 123646 139175 196270 200450 217963 247292 278350 302669 309115 392540 400900 435926 490675 556700 605338 618230 871852 981350 1089815 1174637 1210676 1236460 1513345 1545575 1962700 2179630 2349274 3026690 3091150 4141297 4359260 4698548 5449075 5750711 5873185 6053380 6182300 7566725 8282594 10898150 11501422 11746370 15133450 16565188 20706485 21796300 23002844 23492740 28753555 29365925 30266900 41412970 57507110 58731850 63863159 82825940 103532425 115014220 117463700 127726318 143767775 207064850 255452636 287535550 319315795 414129700 575071100 638631590 1213400021 1277263180 1596578975 2426800042 3193157950 4853600084 6067000105 6386315900 12134000210 24268000420 30335000525 60670001050 121340002100