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10000233203031 = 321710123323911621
BaseRepresentation
bin1001000110000101110001…
…0110010000010101010111
31022102000100110001012020200
42101201130112100111113
52302320434144444111
633134013235231543
72051331046500441
oct221413426202527
938360313035220
1010000233203031
113206090a349a5
121156141a485b3
13577030569696
1426802a0b5491
151251e065a256
hex9185c590557

10000233203031 has 96 divisors (see below), whose sum is σ = 15578441199360. Its totient is φ = 6159455232000.

The previous prime is 10000233203029. The next prime is 10000233203033. The reversal of 10000233203031 is 13030233200001.

It is an interprime number because it is at equal distance from previous prime (10000233203029) and next prime (10000233203033).

It is not a de Polignac number, because 10000233203031 - 21 = 10000233203029 is a prime.

It is a super-2 number, since 2×100002332030312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000233202995 and 10000233203013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000233203033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 860525401 + ... + 860537021.

It is an arithmetic number, because the mean of its divisors is an integer number (162275429160).

Almost surely, 210000233203031 is an apocalyptic number.

10000233203031 is a deficient number, since it is larger than the sum of its proper divisors (5578207996329).

10000233203031 is a wasteful number, since it uses less digits than its factorization.

10000233203031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12217 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10000233203031 its reverse (13030233200001), we get a palindrome (23030466403032).

The spelling of 10000233203031 in words is "ten trillion, two hundred thirty-three million, two hundred three thousand, thirty-one".

Divisors: 1 3 9 17 51 101 153 233 239 303 699 717 909 1717 2097 2151 3961 4063 5151 11621 11883 12189 15453 23533 24139 34863 35649 36567 55687 70599 72417 104589 167061 197557 211797 217251 400061 410363 501183 592671 946679 1173721 1200183 1231089 1778013 2707693 2777419 2840037 3521163 3600549 3693267 5624387 8123079 8332257 8520111 10563489 16873161 19953257 24369237 24996771 46030781 47216123 50619483 59859771 95614579 138092343 141648369 179579313 273476993 280519319 286843737 414277029 424945107 647138627 820430979 841557957 860531211 1941415881 2461292937 2524673871 4649108881 4768828423 5824247643 11001356659 13947326643 14306485269 33004069977 41841979929 42919455807 65361001327 99012209931 196083003981 588249011943 1111137022559 3333411067677 10000233203031