Search a number
-
+
121872484710 = 233510928114737
BaseRepresentation
bin111000110000000101…
…0101000100101100110
3102122120111120200122000
41301200022220211212
53444043324002320
6131553142150130
711543054012334
oct1614012504546
9378514520560
10121872484710
114775a927649
121b752a22346
13b653105ba2
145c81ccab54
15328457ac90
hex1c602a8966

121872484710 has 128 divisors (see below), whose sum is σ = 329164387200. Its totient is φ = 32084398080.

The previous prime is 121872484697. The next prime is 121872484739. The reversal of 121872484710 is 17484278121.

121872484710 is a `hidden beast` number, since 1 + 21 + 87 + 2 + 484 + 71 + 0 = 666.

121872484710 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1218724847103 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8262462 + ... + 8277198.

It is an arithmetic number, because the mean of its divisors is an integer number (2571596775).

Almost surely, 2121872484710 is an apocalyptic number.

121872484710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121872484710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164582193600).

121872484710 is an abundant number, since it is smaller than the sum of its proper divisors (207291902490).

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

121872484710 is a wasteful number, since it uses less digits than its factorization.

121872484710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143 (or 15137 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 121872484710 in words is "one hundred twenty-one billion, eight hundred seventy-two million, four hundred eighty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 281 327 545 562 654 843 981 1090 1405 1635 1686 1962 2529 2810 2943 3270 4215 4905 5058 5886 7587 8430 9810 12645 14715 14737 15174 25290 29430 29474 30629 37935 44211 61258 73685 75870 88422 91887 132633 147370 153145 183774 221055 265266 275661 306290 397899 442110 459435 551322 663165 795798 826983 918870 1326330 1378305 1606333 1653966 1989495 2756610 3212666 3978990 4134915 4141097 4818999 8031665 8269830 8282194 9637998 12423291 14456997 16063330 20705485 24094995 24846582 28913994 37269873 41410970 43370991 48189990 62116455 72284985 74539746 86741982 111809619 124232910 144569970 186349365 216854955 223619238 372698730 433709910 451379573 559048095 902759146 1118096190 1354138719 2256897865 2708277438 4062416157 4513795730 6770693595 8124832314 12187248471 13541387190 20312080785 24374496942 40624161570 60936242355 121872484710