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6100138100 = 22527193371361
BaseRepresentation
bin1011010111001100…
…01011100001110100
3120202010111010022202
411223212023201310
544443113404400
62445151044032
7304111214120
oct55346134164
916663433282
106100138100
112650407051
121222b10618
13762a5a394
1441c238580
1525a8184d5
hex16b98b874

6100138100 has 144 divisors (see below), whose sum is σ = 15983560320. Its totient is φ = 1974067200.

The previous prime is 6100138087. The next prime is 6100138127. The reversal of 6100138100 is 18310016.

It is a super-2 number, since 2×61001381002 = 74423369678143220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4481420 + ... + 4482780.

Almost surely, 26100138100 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 6100138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991780160).

6100138100 is an abundant number, since it is smaller than the sum of its proper divisors (9883422220).

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

6100138100 is a wasteful number, since it uses less digits than its factorization.

6100138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 6100138100 is about 78103.3808487187. The cubic root of 6100138100 is about 1827.1739253286.

Adding to 6100138100 its reverse (18310016), we get a palindrome (6118448116).

The spelling of 6100138100 in words is "six billion, one hundred million, one hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 337 350 380 475 532 665 674 700 950 1330 1348 1361 1685 1900 2359 2660 2722 3325 3370 4718 5444 6403 6650 6740 6805 8425 9436 9527 11795 12806 13300 13610 16850 19054 23590 25612 25859 27220 32015 33700 34025 38108 44821 47180 47635 51718 58975 64030 68050 89642 95270 103436 117950 128060 129295 136100 160075 179284 181013 190540 224105 235900 238175 258590 320150 362026 448210 458657 476350 517180 640300 646475 724052 896420 905065 917314 952700 1120525 1292950 1810130 1834628 2241050 2293285 2585900 3210599 3620260 4482100 4525325 4586570 6421198 8714483 9050650 9173140 11466425 12842396 16052995 17428966 18101300 22932850 32105990 34857932 43572415 45865700 61001381 64211980 80264975 87144830 122002762 160529950 174289660 217862075 244005524 305006905 321059900 435724150 610013810 871448300 1220027620 1525034525 3050069050 6100138100