[go: up one dir, main page]

Search a number
-
+
121502100 = 223522317609
BaseRepresentation
bin1110011110111…
…11100110010100
322110121221112210
413033133212110
5222101031400
620020113420
73003515346
oct717374624
9273557483
10121502100
1162648365
1234835870
131c231845
14121cb296
15aa00950
hex73df994

121502100 has 72 divisors (see below), whose sum is σ = 366851520. Its totient is φ = 30990080.

The previous prime is 121502041. The next prime is 121502137. The reversal of 121502100 is 1205121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1905 + ... + 15704.

It is an arithmetic number, because the mean of its divisors is an integer number (5095160).

Almost surely, 2121502100 is an apocalyptic number.

121502100 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 121502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183425760).

121502100 is an abundant number, since it is smaller than the sum of its proper divisors (245349420).

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

121502100 is a wasteful number, since it uses less digits than its factorization.

121502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17649 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 121502100 is about 11022.7991000471. The cubic root of 121502100 is about 495.2919408351.

Adding to 121502100 its reverse (1205121), we get a palindrome (122707221).

The spelling of 121502100 in words is "one hundred twenty-one million, five hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 17609 35218 52827 70436 88045 105654 176090 211308 264135 352180 405007 440225 528270 810014 880450 1056540 1215021 1320675 1620028 1760900 2025035 2430042 2641350 4050070 4860084 5282700 6075105 8100140 10125175 12150210 20250350 24300420 30375525 40500700 60751050 121502100