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312112001232030 = 2356722789830981
BaseRepresentation
bin100011011110111010011110…
…0111101101010110010011110
31111221002121122000002210021110
41012331310330331222302132
5311402120334303411110
63023450135101242450
7122512230230325546
oct10675647475526236
91457077560083243
10312112001232030
11904a2a57a526aa
122b009491863426
131052005caaa65c
1457104312d4326
152613b393cea20
hex11bdd3cf6ac9e

312112001232030 has 96 divisors (see below), whose sum is σ = 760689365577120. Its totient is φ = 81958134762240.

The previous prime is 312112001232023. The next prime is 312112001232037. The reversal of 312112001232030 is 30232100211213.

It is an interprime number because it is at equal distance from previous prime (312112001232023) and next prime (312112001232037).

It is a junction number, because it is equal to n+sod(n) for n = 312112001231988 and 312112001232006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312112001232037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375179140 + ... + 376010120.

It is an arithmetic number, because the mean of its divisors is an integer number (7923847558095).

Almost surely, 2312112001232030 is an apocalyptic number.

312112001232030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312112001232030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380344682788560).

312112001232030 is an abundant number, since it is smaller than the sum of its proper divisors (448577364345090).

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

312112001232030 is a wasteful number, since it uses less digits than its factorization.

312112001232030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833914 (or 833847 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312112001232030 its reverse (30232100211213), we get a palindrome (342344101443243).

The spelling of 312112001232030 in words is "three hundred twelve trillion, one hundred twelve billion, one million, two hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010 2789 4489 5578 8367 8978 13467 13945 16734 22445 26934 27890 41835 44890 67335 83670 134670 186863 373726 560589 830981 934315 1121178 1661962 1868630 2492943 2802945 4154905 4985886 5605890 8309810 12464715 12519821 24929430 25039642 37559463 55675727 62599105 75118926 111351454 125198210 167027181 187797315 278378635 334054362 375594630 556757270 835135905 1670271810 2317606009 3730273709 4635212018 6952818027 7460547418 11190821127 11588030045 13905636054 18651368545 22381642254 23176060090 34764090135 37302737090 55954105635 69528180270 111908211270 155279602603 310559205206 465838807809 776398013015 931677615618 1552796026030 2329194039045 4658388078090 10403733374401 20807466748802 31211200123203 52018666872005 62422400246406 104037333744010 156056000616015 312112001232030