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4244020100 = 22524761113131
BaseRepresentation
bin1111110011110110…
…1001101110000100
3101221202212120002122
43330331221232010
532142432120400
61541044025112
7210112401305
oct37475515604
911852776078
104244020100
111888703131
129a5392198
1352834c2c8
142c39147ac
1519c8c7685
hexfcf69b84

4244020100 has 144 divisors (see below), whose sum is σ = 9717878016. Its totient is φ = 1607424000.

The previous prime is 4244020069. The next prime is 4244020111. The reversal of 4244020100 is 10204424.

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, 32397035 + ... + 32397165.

It is an arithmetic number, because the mean of its divisors is an integer number (67485264).

Almost surely, 24244020100 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 4244020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858939008).

4244020100 is an abundant number, since it is smaller than the sum of its proper divisors (5473857916).

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

4244020100 is a wasteful number, since it uses less digits than its factorization.

4244020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4244020100 is about 65146.1441683236. The cubic root of 4244020100 is about 1619.0458360240.

Adding to 4244020100 its reverse (10204424), we get a palindrome (4254224524).

The spelling of 4244020100 in words is "four billion, two hundred forty-four million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 61 94 100 113 122 131 188 226 235 244 262 305 452 470 524 565 610 655 940 1130 1175 1220 1310 1525 2260 2350 2620 2825 2867 3050 3275 4700 5311 5650 5734 6100 6157 6550 6893 7991 10622 11300 11468 12314 13100 13786 14335 14803 15982 21244 24628 26555 27572 28670 29606 30785 31964 34465 39955 53110 57340 59212 61570 68930 71675 74015 79910 106220 123140 132775 137860 143350 148030 153925 159820 172325 199775 265550 286700 296060 307850 323971 344650 370075 375577 399550 531100 615700 647942 689300 695741 740150 751154 799100 902983 1295884 1391482 1480300 1502308 1619855 1805966 1877885 2782964 3239710 3478705 3611932 3755770 4514915 6479420 6957410 7511540 8099275 9029830 9389425 13914820 16198550 17393525 18059660 18778850 22574575 32397100 34787050 37557700 42440201 45149150 69574100 84880402 90298300 169760804 212201005 424402010 848804020 1061005025 2122010050 4244020100