Search a number
-
+
10203503424 = 263195947407
BaseRepresentation
bin10011000000010110…
…10001101101000000
3222100002200200100020
421200023101231000
5131344044102144
64404252253440
7510565230252
oct114013215500
928302620306
1010203503424
114366680164
121b89171280
13c67c002ba
146cb1b7cd2
153eabaa419
hex2602d1b40

10203503424 has 112 divisors (see below), whose sum is σ = 28899916800. Its totient is φ = 3167479296.

The previous prime is 10203503413. The next prime is 10203503459. The reversal of 10203503424 is 42430530201.

It is a super-2 number, since 2×102035034242 (a number of 21 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 = 10203503394 and 10203503403.

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, 191529 + ... + 238935.

Almost surely, 210203503424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449958400).

10203503424 is an abundant number, since it is smaller than the sum of its proper divisors (18696413376).

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

10203503424 is a wasteful number, since it uses less digits than its factorization.

10203503424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47500 (or 47490 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 10203503424 in words is "ten billion, two hundred three million, five hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 64 76 96 114 118 152 177 192 228 236 304 354 456 472 608 708 912 944 1121 1216 1416 1824 1888 2242 2832 3363 3648 3776 4484 5664 6726 8968 11328 13452 17936 26904 35872 47407 53808 71744 94814 107616 142221 189628 215232 284442 379256 568884 758512 900733 1137768 1517024 1801466 2275536 2702199 2797013 3034048 3602932 4551072 5404398 5594026 7205864 8391039 9102144 10808796 11188052 14411728 16782078 21617592 22376104 28823456 33564156 43235184 44752208 53143247 57646912 67128312 86470368 89504416 106286494 134256624 159429741 172940736 179008832 212572988 268513248 318859482 425145976 537026496 637718964 850291952 1275437928 1700583904 2550875856 3401167808 5101751712 10203503424