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312433103241100 = 225213737361140311
BaseRepresentation
bin100011100001010000000000…
…0001000100111111110001100
31111222020022110011011221112001
41013002200000020213332030
5311422400443412203400
63024253441451522044
7122544355361346442
oct10702400010477614
91458208404157461
10312433103241100
1190607153735716
122b05b766159324
13105444136b915a
145721bb2c20b92
15261c17e43aa6a
hex11c2800227f8c

312433103241100 has 72 divisors (see below), whose sum is σ = 684759510898848. Its totient is φ = 123728422540800.

The previous prime is 312433103241047. The next prime is 312433103241157. The reversal of 312433103241100 is 1142301334213.

It is a super-2 number, since 2×3124331032411002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25460056 + ... + 35680255.

It is an arithmetic number, because the mean of its divisors is an integer number (9510548762484).

Almost surely, 2312433103241100 is an apocalyptic number.

It is an amenable number.

312433103241100 is an abundant number, since it is smaller than the sum of its proper divisors (372326407657748).

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

312433103241100 is a wasteful number, since it uses less digits than its factorization.

312433103241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61140835 (or 61140828 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 312433103241100 its reverse (1142301334213), we get a palindrome (313575404575313).

The spelling of 312433103241100 in words is "three hundred twelve trillion, four hundred thirty-three billion, one hundred three million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 373 548 685 746 1370 1492 1865 2740 3425 3730 6850 7460 9325 13700 18650 37300 51101 102202 204404 255505 511010 1022020 1277525 2555050 5110100 61140311 122280622 244561244 305701555 611403110 1222806220 1528507775 3057015550 6114031100 8376222607 16752445214 22805336003 33504890428 41881113035 45610672006 83762226070 91221344012 114026680015 167524452140 209405565175 228053360030 418811130350 456106720060 570133400075 837622260700 1140266800150 2280533600300 3124331032411 6248662064822 12497324129644 15621655162055 31243310324110 62486620648220 78108275810275 156216551620550 312433103241100