Search a number
-
+
203214434100 = 223521016706747
BaseRepresentation
bin1011110101000010000…
…1100010111100110100
3201102112100210212010020
42331100201202330310
511312140343342400
6233204434325140
720452562121666
oct2752041427464
9642470725106
10203214434100
1179201283107
12334741297b0
13162172728a2
149b9ad86536
1554457742a0
hex2f50862f34

203214434100 has 72 divisors (see below), whose sum is σ = 593788640928. Its totient is φ = 53653968000.

The previous prime is 203214434081. The next prime is 203214434107. The reversal of 203214434100 is 1434412302.

It is a super-2 number, since 2×2032144341002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203214434107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3323074 + ... + 3383673.

Almost surely, 2203214434100 is an apocalyptic number.

203214434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203214434100 is an abundant number, since it is smaller than the sum of its proper divisors (390574206828).

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

203214434100 is a wasteful number, since it uses less digits than its factorization.

203214434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706865 (or 6706858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203214434100 its reverse (1434412302), we get a palindrome (204648846402).

The spelling of 203214434100 in words is "two hundred three billion, two hundred fourteen million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 6706747 13413494 20120241 26826988 33533735 40240482 67067470 80480964 100601205 134134940 167668675 201202410 335337350 402404820 503006025 670674700 677381447 1006012050 1354762894 2012024100 2032144341 2709525788 3386907235 4064288682 6773814470 8128577364 10160721705 13547628940 16934536175 20321443410 33869072350 40642886820 50803608525 67738144700 101607217050 203214434100