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3300103422 = 2327112233929
BaseRepresentation
bin1100010010110011…
…1001010011111110
322111222201121211200
43010230321103332
523224311302142
61303244400330
7144531262530
oct30454712376
98458647750
103300103422
111443905600
127812460a6
1340791a425
14234405850
15144ac364c
hexc4b394fe

3300103422 has 144 divisors (see below), whose sum is σ = 9030359520. Its totient is φ = 852572160.

The previous prime is 3300103421. The next prime is 3300103453. The reversal of 3300103422 is 2243010033.

It is a super-2 number, since 2×33001034222 = 21781365191792220168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3300103395 and 3300103404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300103421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3551854 + ... + 3552782.

It is an arithmetic number, because the mean of its divisors is an integer number (62710830).

Almost surely, 23300103422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300103422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515179760).

3300103422 is an abundant number, since it is smaller than the sum of its proper divisors (5730256098).

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

3300103422 is a wasteful number, since it uses less digits than its factorization.

3300103422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3300103422 is about 57446.5266312943. The cubic root of 3300103422 is about 1488.8211058467.

Adding to 3300103422 its reverse (2243010033), we get a palindrome (5543113455).

The spelling of 3300103422 in words is "three billion, three hundred million, one hundred three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 233 242 363 462 466 693 699 726 847 929 1089 1386 1398 1631 1694 1858 2097 2178 2541 2563 2787 3262 4194 4893 5082 5126 5574 6503 7623 7689 8361 9786 10219 13006 14679 15246 15378 16722 17941 19509 20438 23067 28193 29358 30657 35882 39018 46134 53823 56386 58527 61314 71533 84579 91971 107646 112409 117054 143066 161469 169158 183942 197351 214599 216457 224818 253737 322938 337227 394702 429198 432914 507474 592053 643797 649371 674454 786863 1011681 1184106 1287594 1298742 1515199 1573726 1776159 1948113 2023362 2360589 2381027 3030398 3552318 3896226 4545597 4721178 4762054 7081767 7143081 9091194 13636791 14163534 14286162 16667189 21429243 26191297 27273582 33334378 42858486 50001567 52382594 78573891 100003134 150004701 157147782 183339079 235721673 300009402 366678158 471443346 550017237 1100034474 1650051711 3300103422