Search a number
-
+
203002131210 = 235291583147401
BaseRepresentation
bin1011110100001111011…
…1101011001100001010
3201101222120022202022020
42331003313223030022
511311222021144320
6233131412105310
720444403434064
oct2750367531412
9641876282266
10203002131210
117910245787a
1233415005236
13161b229b788
149b7aac0734
155431cd9940
hex2f43deb30a

203002131210 has 64 divisors (see below), whose sum is σ = 504327098880. Its totient is φ = 52233843200.

The previous prime is 203002131203. The next prime is 203002131217. The reversal of 203002131210 is 12131200302.

It is an interprime number because it is at equal distance from previous prime (203002131203) and next prime (203002131217).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203002131210.

It is not an unprimeable number, because it can be changed into a prime (203002131217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303510 + ... + 1450910.

It is an arithmetic number, because the mean of its divisors is an integer number (7880110920).

Almost surely, 2203002131210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203002131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252163549440).

203002131210 is an abundant number, since it is smaller than the sum of its proper divisors (301324967670).

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

203002131210 is a wasteful number, since it uses less digits than its factorization.

203002131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149023.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 203002131210 its reverse (12131200302), we get a palindrome (215133331512).

The spelling of 203002131210 in words is "two hundred three billion, two million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1583 3166 4749 7915 9498 15830 23745 45907 47490 91814 137721 147401 229535 275442 294802 442203 459070 688605 737005 884406 1377210 1474010 2211015 4274629 4422030 8549258 12823887 21373145 25647774 42746290 64119435 128238870 233335783 466671566 700007349 1166678915 1400014698 2333357830 3500036745 6766737707 7000073490 13533475414 20300213121 33833688535 40600426242 67667377070 101501065605 203002131210