Search a number
-
+
1013203400 = 2352111727091
BaseRepresentation
bin111100011001000…
…100000111001000
32121121112001202212
4330121010013020
54033340002100
6244312244252
734052041526
oct7431040710
92547461685
101013203400
1147aa21790
122433a0688
13131bb0b51
14987c7316
155de3d635
hex3c6441c8

1013203400 has 96 divisors (see below), whose sum is σ = 2721120480. Its totient is φ = 346752000.

The previous prime is 1013203397. The next prime is 1013203447. The reversal of 1013203400 is 43023101.

It is a super-2 number, since 2×10132034002 = 2053162259543120000, which contains 22 as substring.

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, 23855 + ... + 50945.

It is an arithmetic number, because the mean of its divisors is an integer number (28345005).

Almost surely, 21013203400 is an apocalyptic number.

1013203400 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 1013203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360560240).

1013203400 is an abundant number, since it is smaller than the sum of its proper divisors (1707917080).

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

1013203400 is a wasteful number, since it uses less digits than its factorization.

1013203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27135 (or 27126 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1013203400 is about 31830.8560990747. The cubic root of 1013203400 is about 1004.3819042031.

Adding to 1013203400 its reverse (43023101), we get a palindrome (1056226501).

The spelling of 1013203400 in words is "one billion, thirteen million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 27091 37400 54182 108364 135455 216728 270910 298001 460547 541820 596002 677275 921094 1083640 1192004 1354550 1490005 1842188 2302735 2384008 2709100 2980010 3684376 4605470 5066017 5418200 5960020 7450025 9210940 10132034 11513675 11920040 14900050 18421880 20264068 23027350 25330085 29800100 40528136 46054700 50660170 59600200 92109400 101320340 126650425 202640680 253300850 506601700 1013203400