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101120200001010 = 233510930449112843
BaseRepresentation
bin10110111111011111100001…
…100110011100010111110010
3111021000222220121020200002000
4112333133201212130113302
5101223223132200013020
6555021551212234430
730204456552064101
oct2677374146342762
9437028817220060
10101120200001010
112a24692177a983
12b41193246ba16
134456794b83728
141ad835ad84038
15ba557d846090
hex5bf7e199c5f2

101120200001010 has 128 divisors (see below), whose sum is σ = 272139104160000. Its totient is φ = 26716883567616.

The previous prime is 101120200000973. The next prime is 101120200001017. The reversal of 101120200001010 is 10100002021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101120200000983 and 101120200001001.

It is not an unprimeable number, because it can be changed into a prime (101120200001017) 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 63 ways as a sum of consecutive naturals, for example, 896057649 + ... + 896170491.

It is an arithmetic number, because the mean of its divisors is an integer number (2126086751250).

Almost surely, 2101120200001010 is an apocalyptic number.

101120200001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120200001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136069552080000).

101120200001010 is an abundant number, since it is smaller than the sum of its proper divisors (171018904158990).

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

101120200001010 is a wasteful number, since it uses less digits than its factorization.

101120200001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143417 (or 143411 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101120200001010 its reverse (10100002021101), we get a palindrome (111220202022111).

The spelling of 101120200001010 in words is "one hundred one trillion, one hundred twenty billion, two hundred million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2943 3270 4905 5886 9810 14715 29430 30449 60898 91347 112843 152245 182694 225686 274041 304490 338529 456735 548082 564215 677058 822123 913470 1015587 1128430 1370205 1644246 1692645 2031174 2740410 3046761 3318941 3385290 4110615 5077935 6093522 6637882 8221230 9956823 10155870 12299887 15233805 16594705 19913646 24599774 29870469 30467610 33189410 36899661 49784115 59740938 61499435 73799322 89611407 99568230 110698983 122998870 149352345 179222814 184498305 221397966 298704690 332096949 368996610 448057035 553494915 664193898 896114070 1106989830 1660484745 3320969490 3435956507 6871913014 10307869521 17179782535 20615739042 30923608563 34359565070 51539347605 61847217126 92770825689 103078695210 154618042815 185541651378 309236085630 374519259263 463854128445 749038518526 927708256890 1123557777789 1872596296315 2247115555578 3370673333367 3745192592630 5617788888945 6741346666734 10112020000101 11235577777890 16853366666835 20224040000202 33706733333670 50560100000505 101120200001010