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101101112020012 = 2213191511574316407
BaseRepresentation
bin10110111111001101101111…
…110111100100110000101100
3111020222011122022211202200211
4112333031233313210300230
5101222420034134120022
6555005113142432204
730203212542654526
oct2677155767446054
9436864568752624
10101101112020012
112a239817042275
12b40a0a5a32664
134454a42420010
141ad7469c66a16
15ba4d12bcce77
hex5bf36fde4c2c

101101112020012 has 96 divisors (see below), whose sum is σ = 203179194874880. Its totient is φ = 43633684972800.

The previous prime is 101101112019997. The next prime is 101101112020019. The reversal of 101101112020012 is 210020211101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101101112019974 and 101101112020001.

It is not an unprimeable number, because it can be changed into a prime (101101112020019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21264313 + ... + 25580719.

Almost surely, 2101101112020012 is an apocalyptic number.

It is an amenable number.

101101112020012 is an abundant number, since it is smaller than the sum of its proper divisors (102078082854868).

101101112020012 is a wasteful number, since it uses less digits than its factorization.

101101112020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316751 (or 4316749 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101112020012 its reverse (210020211101101), we get a palindrome (311121323121113).

The spelling of 101101112020012 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, twenty thousand, twelve".

Divisors: 1 2 4 13 19 26 38 52 76 151 157 247 302 314 494 604 628 988 1963 2041 2869 2983 3926 4082 5738 5966 7852 8164 11476 11932 23707 37297 38779 47414 74594 77558 94828 149188 155116 308191 450433 616382 900866 1232764 1801732 4316407 5855629 8632814 11711258 17265628 23422516 56113291 82011733 112226582 164023466 224453164 328046932 651777457 677675899 1066152529 1303554914 1355351798 2132305058 2607109828 2710703596 4264610116 8473106941 8809786687 12383771683 12875842081 16946213882 17619573374 24767543366 25751684162 33892427764 35239146748 49535086732 51503368324 102329060749 160989031879 167385947053 204658121498 321978063758 334771894106 409316242996 643956127516 669543788212 1330277789737 1944252154231 2660555579474 3888504308462 5321111158948 7777008616924 25275278005003 50550556010006 101101112020012