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203103203424 = 25311269714991
BaseRepresentation
bin1011110100100111100…
…1001111000001100000
3201102020121111202022120
42331021321033001200
511311423410002144
6233145422304240
720450041513212
oct2751171170140
9642217452276
10203103203424
1179154510930
1233442a28080
13161ca1c9314
149b8a2b05b2
15543ab01e19
hex2f49e4f060

203103203424 has 96 divisors (see below), whose sum is σ = 583776668160. Its totient is φ = 61317542400.

The previous prime is 203103203419. The next prime is 203103203467. The reversal of 203103203424 is 424302301302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2031032034242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 203103203394 and 203103203403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73432 + ... + 641559.

It is an arithmetic number, because the mean of its divisors is an integer number (6081006960).

Almost surely, 2203103203424 is an apocalyptic number.

203103203424 is a gapful number since it is divisible by the number (24) 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 203103203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291888334080).

203103203424 is an abundant number, since it is smaller than the sum of its proper divisors (380673464736).

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

203103203424 is a wasteful number, since it uses less digits than its factorization.

203103203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715284 (or 715276 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 203103203424 its reverse (424302301302), we get a palindrome (627405504726).

The spelling of 203103203424 in words is "two hundred three billion, one hundred three million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 269 352 528 538 807 1056 1076 1614 2152 2959 3228 4304 5918 6456 8608 8877 11836 12912 17754 23672 25824 35508 47344 71016 94688 142032 284064 714991 1429982 2144973 2859964 4289946 5719928 7864901 8579892 11439856 15729802 17159784 22879712 23594703 31459604 34319568 47189406 62919208 68639136 94378812 125838416 188757624 192332579 251676832 377515248 384665158 576997737 755030496 769330316 1153995474 1538660632 2115658369 2307990948 3077321264 4231316738 4615981896 6154642528 6346975107 8462633476 9231963792 12693950214 16925266952 18463927584 25387900428 33850533904 50775800856 67701067808 101551601712 203103203424