Search a number
-
+
121420210410 = 23351982328759
BaseRepresentation
bin111000100010100110…
…1010110000011101010
3102121101222112202221000
41301011031112003222
53442132033213120
6131440224255430
711525622521352
oct1610515260352
9377358482830
10121420210410
11475485a8234
121b647471576
13b5b04c0c65
145c3bbd9b62
1532599dd990
hex1c453560ea

121420210410 has 128 divisors (see below), whose sum is σ = 341254656000. Its totient is φ = 30636242496.

The previous prime is 121420210399. The next prime is 121420210441. The reversal of 121420210410 is 14012024121.

121420210410 is a `hidden beast` number, since 1 + 2 + 1 + 42 + 0 + 210 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4207611 + ... + 4236369.

It is an arithmetic number, because the mean of its divisors is an integer number (2666052000).

Almost surely, 2121420210410 is an apocalyptic number.

121420210410 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 121420210410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170627328000).

121420210410 is an abundant number, since it is smaller than the sum of its proper divisors (219834445590).

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

121420210410 is a wasteful number, since it uses less digits than its factorization.

121420210410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29617 (or 29611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121420210410 its reverse (14012024121), we get a palindrome (135432234531).

The spelling of 121420210410 in words is "one hundred twenty-one billion, four hundred twenty million, two hundred ten thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 823 855 1026 1646 1710 2469 2565 4115 4938 5130 7407 8230 12345 14814 15637 22221 24690 28759 31274 37035 44442 46911 57518 74070 78185 86277 93822 111105 140733 143795 156370 172554 222210 234555 258831 281466 287590 422199 431385 469110 517662 546421 703665 776493 844398 862770 1092842 1294155 1407330 1552986 1639263 2110995 2588310 2732105 3278526 3882465 4221990 4917789 5464210 7764930 8196315 9835578 14753367 16392630 23668657 24588945 29506734 47337314 49177890 71005971 73766835 118343285 142011942 147533670 213017913 236686570 355029855 426035826 449704483 639053739 710059710 899408966 1065089565 1278107478 1349113449 2130179130 2248522415 2698226898 3195268695 4047340347 4497044830 6390537390 6745567245 8094680694 12142021041 13491134490 20236701735 24284042082 40473403470 60710105205 121420210410