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111661102020 = 2235132109101027
BaseRepresentation
bin110011111111110000…
…1010011001111000100
3101200012212001200222010
41213333201103033010
53312140220231040
6123144004534220
711032031464326
oct1477741231704
9350185050863
10111661102020
114339a8656a6
12197830b1370
13a6b66a7400
145593a61616
152d87d65e80
hex19ff8533c4

111661102020 has 144 divisors (see below), whose sum is σ = 341660531520. Its totient is φ = 27233376768.

The previous prime is 111661101953. The next prime is 111661102027. The reversal of 111661102020 is 20201166111.

It is not an unprimeable number, because it can be changed into a prime (111661102027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054747 + ... + 1155773.

It is an arithmetic number, because the mean of its divisors is an integer number (2372642580).

Almost surely, 2111661102020 is an apocalyptic number.

111661102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111661102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170830265760).

111661102020 is an abundant number, since it is smaller than the sum of its proper divisors (229999429500).

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

111661102020 is a wasteful number, since it uses less digits than its factorization.

111661102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101174 (or 101159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 111661102020 its reverse (20201166111), we get a palindrome (131862268131).

The spelling of 111661102020 in words is "one hundred eleven billion, six hundred sixty-one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 169 195 218 260 327 338 390 436 507 545 654 676 780 845 1014 1090 1308 1417 1635 1690 2028 2180 2535 2834 3270 3380 4251 5070 5668 6540 7085 8502 10140 14170 17004 18421 21255 28340 36842 42510 55263 73684 85020 92105 101027 110526 184210 202054 221052 276315 303081 368420 404108 505135 552630 606162 1010270 1105260 1212324 1313351 1515405 2020540 2626702 3030810 3940053 5253404 6061620 6566755 7880106 11011943 13133510 15760212 17073563 19700265 22023886 26267020 33035829 34147126 39400530 44047772 51220689 55059715 66071658 68294252 78801060 85367815 102441378 110119430 132143316 143155259 165179145 170735630 204882756 220238860 256103445 286310518 330358290 341471260 429465777 512206890 572621036 660716580 715776295 858931554 1024413780 1431552590 1717863108 1861018367 2147328885 2863105180 3722036734 4294657770 5583055101 7444073468 8589315540 9305091835 11166110202 18610183670 22332220404 27915275505 37220367340 55830551010 111661102020