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12316838100 = 22352723255007
BaseRepresentation
bin10110111100010010…
…00000100011010100
31011210101022012111220
423132021000203110
5200211102304400
65354104330340
7614136252660
oct133611004324
934711265456
1012316838100
115250596846
122478a739b0
1312139a97a8
1484bb358a0
154c14a87a0
hex2de2408d4

12316838100 has 144 divisors (see below), whose sum is σ = 42498613248. Its totient is φ = 2692863360.

The previous prime is 12316838099. The next prime is 12316838101. The reversal of 12316838100 is 183861321.

It is an interprime number because it is at equal distance from previous prime (12316838099) and next prime (12316838101).

It is a super-2 number, since 2×123168381002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12316838101) 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, 79204 + ... + 175803.

Almost surely, 212316838100 is an apocalyptic number.

12316838100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12316838100 is an abundant number, since it is smaller than the sum of its proper divisors (30181775148).

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

12316838100 is a wasteful number, since it uses less digits than its factorization.

12316838100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255054 (or 255047 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 12316838100 in words is "twelve billion, three hundred sixteen million, eight hundred thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4830 6900 8050 9660 12075 16100 24150 48300 255007 510014 765021 1020028 1275035 1530042 1785049 2550070 3060084 3570098 3825105 5100140 5355147 5865161 6375175 7140196 7650210 8925245 10710294 11730322 12750350 15300420 17595483 17850490 19125525 21420588 23460644 25500700 26775735 29325805 35190966 35700980 38251050 41056127 44626225 53551470 58651610 70381932 76502100 82112254 87977415 89252450 107102940 117303220 123168381 133878675 146629025 164224508 175954830 178504900 205280635 246336762 267757350 293258050 351909660 410561270 439887075 492673524 535514700 586516100 615841905 821122540 879774150 1026403175 1231683810 1759548300 2052806350 2463367620 3079209525 4105612700 6158419050 12316838100