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101243216100 = 2235213171527047
BaseRepresentation
bin101111001001010010…
…0001110000011100100
3100200022210222021010110
41132102210032003210
53124321230403400
6114302133253020
710212621065145
oct1362244160344
9320283867113
10101243216100
1139a34179824
1217756194170
139716255580
144c861ddacc
15297845ee50
hex179290e0e4

101243216100 has 144 divisors (see below), whose sum is σ = 334020371328. Its totient is φ = 23455426560.

The previous prime is 101243216047. The next prime is 101243216119. The reversal of 101243216100 is 1612342101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697224 + ... + 829823.

It is an arithmetic number, because the mean of its divisors is an integer number (2319585912).

Almost surely, 2101243216100 is an apocalyptic number.

101243216100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101243216100 is an abundant number, since it is smaller than the sum of its proper divisors (232777155228).

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

101243216100 is a wasteful number, since it uses less digits than its factorization.

101243216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527094 (or 1527087 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101243216100 its reverse (1612342101), we get a palindrome (102855558201).

The spelling of 101243216100 in words is "one hundred one billion, two hundred forty-three million, two hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 1527047 3054094 4581141 6108188 7635235 9162282 15270470 18324564 19851611 22905705 25959799 30540940 38176175 39703222 45811410 51919598 59554833 76352350 77879397 79406444 91622820 99258055 103839196 114528525 119109666 129798995 152704700 155758794 198516110 229057050 238219332 259597990 297774165 311517588 337477387 389396985 397032220 458114100 496290275 519195980 595548330 648994975 674954774 778793970 992580550 1012432161 1191096660 1297989950 1349909548 1488870825 1557587940 1687386935 1946984925 1985161100 2024864322 2595979900 2977741650 3374773870 3893969850 4049728644 5062160805 5955483300 6749547740 7787939700 8436934675 10124321610 16873869350 20248643220 25310804025 33747738700 50621608050 101243216100