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102201220011000 = 23353113097006667
BaseRepresentation
bin10111001111001110010011…
…011010100001001111111000
3111101212100012202010001012210
4113033032103122201033320
5101343431044310323000
61001210331534535120
730345536335415565
oct2717162332411770
9441770182101183
10102201220011000
112a623326352510
12b5673459674a0
1345046c26a9086
141b347cb80186c
15bc374cdb1350
hex5cf3936a13f8

102201220011000 has 128 divisors (see below), whose sum is σ = 347855788949760. Its totient is φ = 24776053328000.

The previous prime is 102201220010993. The next prime is 102201220011019. The reversal of 102201220011000 is 110022102201.

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, 1548470334 + ... + 1548536333.

It is an arithmetic number, because the mean of its divisors is an integer number (2717623351170).

Almost surely, 2102201220011000 is an apocalyptic number.

102201220011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201220011000 is an abundant number, since it is smaller than the sum of its proper divisors (245654568938760).

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

102201220011000 is a wasteful number, since it uses less digits than its factorization.

102201220011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097006702 (or 3097006688 counting only the distinct ones).

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

Adding to 102201220011000 its reverse (110022102201), we get a palindrome (102311242113201).

It can be divided in two parts, 1022012 and 20011000, that added together give a palindrome (21033012).

The spelling of 102201220011000 in words is "one hundred two trillion, two hundred one billion, two hundred twenty 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 3097006667 6194013334 9291020001 12388026668 15485033335 18582040002 24776053336 30970066670 34067073337 37164080004 46455100005 61940133340 68134146674 74328160008 77425166675 92910200010 102201220011 123880266680 136268293348 154850333350 170335366685 185820400020 204402440022 232275500025 272536586696 309700666700 340670733370 371640800040 387125833375 408804880044 464551000050 511006100055 619401333400 681341466740 774251666750 817609760088 851676833425 929102000100 1022012200110 1161377500125 1362682933480 1548503333500 1703353666850 1858204000200 2044024400220 2322755000250 2555030500275 3097006667000 3406707333700 4088048800440 4258384167125 4645510000500 5110061000550 6813414667400 8516768334250 9291020001000 10220122001100 12775152501375 17033536668500 20440244002200 25550305002750 34067073337000 51100610005500 102201220011000