Search a number
-
+
121230240114402 = 2352361177793969
BaseRepresentation
bin11011100100001000011101…
…011001011110011011100010
3120220020111102212121010100000
4123210020131121132123202
5111342214012432130102
61105500223052040430
734351411235466066
oct3344103531363342
9526214385533300
10121230240114402
113569a502095891
121171b296163116
135284c68a6a6a3
1421d1809867aa6
15e0372409a01c
hex6e421d65e6e2

121230240114402 has 96 divisors (see below), whose sum is σ = 288896710677120. Its totient is φ = 38019462117120.

The previous prime is 121230240114377. The next prime is 121230240114407. The reversal of 121230240114402 is 204411042032121.

121230240114402 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 0 + 240 + 1 + 14 + 402 = 666.

It is a super-2 number, since 2×1212302401144022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121230240114407) 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, 88215127 + ... + 89578842.

It is an arithmetic number, because the mean of its divisors is an integer number (3009340736220).

Almost surely, 2121230240114402 is an apocalyptic number.

121230240114402 is an abundant number, since it is smaller than the sum of its proper divisors (167666470562718).

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

121230240114402 is a wasteful number, since it uses less digits than its factorization.

121230240114402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177794070 (or 177794058 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 121230240114402 its reverse (204411042032121), we get a palindrome (325641282146523).

The spelling of 121230240114402 in words is "one hundred twenty-one trillion, two hundred thirty billion, two hundred forty million, one hundred fourteen thousand, four hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 61 69 81 122 138 162 183 207 243 366 414 486 549 621 1098 1242 1403 1647 1863 2806 3294 3726 4209 4941 5589 8418 9882 11178 12627 14823 25254 29646 37881 75762 113643 227286 340929 681858 177793969 355587938 533381907 1066763814 1600145721 3200291442 4089261287 4800437163 8178522574 9600874326 10845432109 12267783861 14401311489 21690864218 24535567722 28802622978 32536296327 36803351583 43203934467 65072592654 73606703166 86407868934 97608888981 110410054749 195217777962 220820109498 249444938507 292826666943 331230164247 498889877014 585653333886 662460328494 748334815521 878480000829 993690492741 1496669631042 1756960001658 1987380985482 2245004446563 2635440002487 4490008893126 5270880004974 6735013339689 13470026679378 20205040019067 40410080038134 60615120057201 121230240114402