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10011201201012 = 223111031267127541
BaseRepresentation
bin1001000110101110101000…
…0101110110001101110100
31022110001122211021012222010
42101223222011312031310
52303010420001413022
633143025441404220
72052166620106104
oct221535205661564
938401584235863
1010011201201012
11320a7aa0a5140
1211582a3039670
1357808a96aa0b
1426878aa15204
151256334c750c
hex91aea176374

10011201201012 has 96 divisors (see below), whose sum is σ = 25518250856448. Its totient is φ = 3029510160000.

The previous prime is 10011201200953. The next prime is 10011201201041. The reversal of 10011201201012 is 21010210211001.

10011201201012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100112012010122 (a number of 27 digits) contains 22 as substring.

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, 363487962 + ... + 363515502.

It is an arithmetic number, because the mean of its divisors is an integer number (265815113088).

Almost surely, 210011201201012 is an apocalyptic number.

10011201201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011201201012 is an abundant number, since it is smaller than the sum of its proper divisors (15507049655436).

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

10011201201012 is a wasteful number, since it uses less digits than its factorization.

10011201201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31261 (or 31259 counting only the distinct ones).

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

Adding to 10011201201012 its reverse (21010210211001), we get a palindrome (31021411412013).

The spelling of 10011201201012 in words is "ten trillion, eleven billion, two hundred one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1031 2062 2671 3093 4124 5342 6186 8013 10684 11341 12372 16026 22682 27541 29381 32052 34023 45364 55082 58762 68046 82623 88143 110164 117524 136092 165246 176286 302951 330492 352572 605902 908853 1211804 1817706 2753801 3635412 5507602 8261403 11015204 16522806 28394771 30291811 33045612 56789542 60583622 73562011 85184313 90875433 113579084 121167244 147124022 170368626 181750866 220686033 294248044 312342481 340737252 363501732 441372066 624684962 809182121 882744132 937027443 1249369924 1618364242 1874054886 2427546363 3236728484 3748109772 4855092726 9710185452 75842433341 151684866682 227527300023 303369733364 455054600046 834266766751 910109200092 1668533533502 2502800300253 3337067067004 5005600600506 10011201201012