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203325002200122 = 2311172910360668423
BaseRepresentation
bin101110001110110001001010…
…100001111011010000111010
3222122220200100222212201120120
4232032301022201323100322
5203122234101030400442
62000234114434034110
760553514045561055
oct5616611241732072
9878820328781516
10203325002200122
1159870716085330
121a9798b7a18936
13895b60874442a
14382cda8419a9c
151878e3ae4b4ec
hexb8ec4a87b43a

203325002200122 has 128 divisors (see below), whose sum is σ = 490627971624960. Its totient is φ = 55446084234240.

The previous prime is 203325002200091. The next prime is 203325002200123. The reversal of 203325002200122 is 221002200523302.

It is a happy number.

203325002200122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2033250022001222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203325002200092 and 203325002200101.

It is not an unprimeable number, because it can be changed into a prime (203325002200123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26982798 + ... + 33685625.

It is an arithmetic number, because the mean of its divisors is an integer number (3833031028320).

Almost surely, 2203325002200122 is an apocalyptic number.

203325002200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

203325002200122 is an abundant number, since it is smaller than the sum of its proper divisors (287302969424838).

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

203325002200122 is a wasteful number, since it uses less digits than its factorization.

203325002200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60668588.

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

Adding to 203325002200122 its reverse (221002200523302), we get a palindrome (424327202723424).

The spelling of 203325002200122 in words is "two hundred three trillion, three hundred twenty-five billion, two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 103 174 187 206 309 319 374 493 561 618 638 957 986 1122 1133 1479 1751 1914 2266 2958 2987 3399 3502 5253 5423 5974 6798 8961 10506 10846 16269 17922 19261 32538 32857 38522 50779 57783 65714 98571 101558 115566 152337 197142 304674 558569 1117138 1675707 3351414 60668423 121336846 182005269 364010538 667352653 1031363191 1334705306 1759384267 2002057959 2062726382 3094089573 3518768534 4004115918 5278152801 6188179146 6248847569 10556305602 11344995101 12497695138 18746542707 19353226937 22689990202 29909532539 34034985303 37493085414 38706453874 58059680811 59819065078 68069970606 68737323259 89728597617 106230408673 116119361622 137474646518 179457195234 181216579501 206211969777 212460817346 318691226019 329004857929 362433159002 412423939554 543649738503 637382452038 658009715858 987014573787 1087299477006 1168534495403 1974029147574 1993382374511 2337068990806 3080681851517 3505603486209 3986764749022 5980147123533 6161363703034 7011206972418 9242045554551 11960294247066 18484091109102 33887500366687 67775000733374 101662501100061 203325002200122