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3124104402100 = 22521110328879551
BaseRepresentation
bin101101011101100011001…
…000100001010010110100
3102001122212012121010011011
4231131203020201102310
5402141131211331400
610351105503322004
7441465135161263
oct55354310412264
912048765533134
103124104402100
11aa4a1a542950
124255802b0304
131987a9161066
14ab2c93ac5da
15563e9be38ba
hex2d7632214b4

3124104402100 has 144 divisors (see below), whose sum is σ = 7470777839616. Its totient is φ = 1124501040000.

The previous prime is 3124104402073. The next prime is 3124104402149. The reversal of 3124104402100 is 12044014213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 327092325 + ... + 327101875.

It is an arithmetic number, because the mean of its divisors is an integer number (51880401664).

Almost surely, 23124104402100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124104402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735388919808).

3124104402100 is an abundant number, since it is smaller than the sum of its proper divisors (4346673437516).

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

3124104402100 is a wasteful number, since it uses less digits than its factorization.

3124104402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 3124104402100 its reverse (12044014213), we get a palindrome (3136148416313).

The spelling of 3124104402100 in words is "three trillion, one hundred twenty-four billion, one hundred four million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 2887 4532 5150 5665 5774 9551 10300 11330 11548 14435 19102 22660 28325 28870 31757 38204 47755 56650 57740 63514 72175 95510 105061 113300 127028 144350 158785 191020 210122 238775 288700 297361 317570 420244 477550 525305 594722 635140 793925 955100 983753 1050610 1189444 1486805 1587850 1967506 2101220 2626525 2973610 3175700 3270971 3935012 4918765 5253050 5947220 6541942 7434025 9837530 10506100 10821283 13083884 14868050 16354855 19675060 21642566 24593825 27573737 29736100 32709710 43285132 49187650 54106415 55147474 65419420 81774275 98375300 108212830 110294948 137868685 163548550 216425660 270532075 275737370 303311107 327097100 541064150 551474740 606622214 689343425 1082128300 1213244428 1378686850 1516555535 2757373700 2840094911 3033111070 5680189822 6066222140 7582777675 11360379644 14200474555 15165555350 28400949110 30331110700 31241044021 56801898220 62482088042 71002372775 124964176084 142004745550 156205220105 284009491100 312410440210 624820880420 781026100525 1562052201050 3124104402100