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101200111221000 = 23353113066670037
BaseRepresentation
bin10111000000101001111100…
…101011100011100100001000
3111021022122011202022020210110
4113000221330223203210020
5101231030311433033000
6555122404515114320
730213316045203621
oct2700517453434410
9437278152266713
10101200111221000
112a2777a9559250
12b4253145a29a0
13446118b7a299c
141adc17c00ca48
15ba76a9129850
hex5c0a7cae3908

101200111221000 has 128 divisors (see below), whose sum is σ = 344448378668160. Its totient is φ = 24533360288000.

The previous prime is 101200111220993. The next prime is 101200111221019. The reversal of 101200111221000 is 122111002101.

It is a super-2 number, since 2×1012001112210002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533302019 + ... + 1533368018.

It is an arithmetic number, because the mean of its divisors is an integer number (2691002958345).

Almost surely, 2101200111221000 is an apocalyptic number.

101200111221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200111221000 is an abundant number, since it is smaller than the sum of its proper divisors (243248267447160).

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

101200111221000 is a wasteful number, since it uses less digits than its factorization.

101200111221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066670072 (or 3066670058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101200111221000 its reverse (122111002101), we get a palindrome (101322222223101).

The spelling of 101200111221000 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 3066670037 6133340074 9200010111 12266680148 15333350185 18400020222 24533360296 30666700370 33733370407 36800040444 46000050555 61333400740 67466740814 73600080888 76666750925 92000101110 101200111221 122666801480 134933481628 153333501850 168666852035 184000202220 202400222442 230000252775 269866963256 306667003700 337333704070 368000404440 383333754625 404800444884 460000505550 506000556105 613334007400 674667408140 766667509250 809600889768 843334260175 920001011100 1012001112210 1150001263875 1349334816280 1533335018500 1686668520350 1840002022200 2024002224420 2300002527750 2530002780525 3066670037000 3373337040700 4048004448840 4216671300875 4600005055500 5060005561050 6746674081400 8433342601750 9200010111000 10120011122100 12650013902625 16866685203500 20240022244200 25300027805250 33733370407000 50600055610500 101200111221000