[go: up one dir, main page]

Search a number
-
+
1013202030 = 23547215289
BaseRepresentation
bin111100011001000…
…011110001101110
32121121111222220010
4330121003301232
54033334431110
6244312234050
734052034531
oct7431036156
92547458803
101013202030
1147aa20755
1224339b926
13131bb0339
14987c6a18
155de3d020
hex3c643c6e

1013202030 has 48 divisors (see below), whose sum is σ = 2484686160. Its totient is φ = 264421248.

The previous prime is 1013202019. The next prime is 1013202079. The reversal of 1013202030 is 302023101.

It is a happy number.

It is a super-2 number, since 2×10132020302 = 2053156707192241800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013201997 and 1013202015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58626 + ... + 73914.

It is an arithmetic number, because the mean of its divisors is an integer number (51764295).

Almost surely, 21013202030 is an apocalyptic number.

1013202030 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 1013202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242343080).

1013202030 is an abundant number, since it is smaller than the sum of its proper divisors (1471484130).

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

1013202030 is a wasteful number, since it uses less digits than its factorization.

1013202030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15393 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1013202030 is about 31830.8345790681. The cubic root of 1013202030 is about 1004.3814515122.

Adding to 1013202030 its reverse (302023101), we get a palindrome (1315225131).

The spelling of 1013202030 in words is "one billion, thirteen million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2209 4418 6627 11045 13254 15289 22090 30578 33135 45867 66270 76445 91734 152890 229335 458670 718583 1437166 2155749 3592915 4311498 7185830 10778745 21557490 33773401 67546802 101320203 168867005 202640406 337734010 506601015 1013202030