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102102022011000 = 23353113094000667
BaseRepresentation
bin10111001101110001111010…
…110000001011100001111000
3111101111212011110120112010210
4113031301322300023201320
5101340314420113323000
61001053004341311120
730335425200343524
oct2715617260134170
9441455143515123
10102102022011000
112a5952516a3930
12b5500807054a0
1344c824409c95b
141b2da9b0aad84
15bc0d94296350
hex5cdc7ac0b878

102102022011000 has 128 divisors (see below), whose sum is σ = 347518155029760. Its totient is φ = 24752005328000.

The previous prime is 102102022010951. The next prime is 102102022011037. The reversal of 102102022011000 is 110220201201.

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

It is a congruent number.

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, 1546967334 + ... + 1547033333.

It is an arithmetic number, because the mean of its divisors is an integer number (2714985586170).

Almost surely, 2102102022011000 is an apocalyptic number.

102102022011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102022011000 is an abundant number, since it is smaller than the sum of its proper divisors (245416133018760).

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

102102022011000 is a wasteful number, since it uses less digits than its factorization.

102102022011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094000702 (or 3094000688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102022011000 its reverse (110220201201), we get a palindrome (102212242212201).

The spelling of 102102022011000 in words is "one hundred two trillion, one hundred two billion, twenty-two million, eleven 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 3094000667 6188001334 9282002001 12376002668 15470003335 18564004002 24752005336 30940006670 34034007337 37128008004 46410010005 61880013340 68068014674 74256016008 77350016675 92820020010 102102022011 123760026680 136136029348 154700033350 170170036685 185640040020 204204044022 232050050025 272272058696 309400066700 340340073370 371280080040 386750083375 408408088044 464100100050 510510110055 618800133400 680680146740 773500166750 816816176088 850850183425 928200200100 1021020220110 1160250250125 1361360293480 1547000333500 1701700366850 1856400400200 2042040440220 2320500500250 2552550550275 3094000667000 3403400733700 4084080880440 4254250917125 4641001000500 5105101100550 6806801467400 8508501834250 9282002001000 10210202201100 12762752751375 17017003668500 20420404402200 25525505502750 34034007337000 51051011005500 102102022011000