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101020222202010 = 23537434745031771
BaseRepresentation
bin10110111110000010011010…
…011101011010000010011010
3111020200102211222101020212120
4112332002122131122002122
5101220103403340431020
6554504014401122110
730164320164602406
oct2676023235320232
9436612758336776
10101020222202010
112a208487928811
12b3b6490029336
13444a220b48197
141ad3594c62106
15ba2b7b544740
hex5be09a75a09a

101020222202010 has 128 divisors (see below), whose sum is σ = 260213032341504. Its totient is φ = 25056397336320.

The previous prime is 101020222201991. The next prime is 101020222202059. The reversal of 101020222202010 is 10202222020101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20272576 + ... + 24759195.

It is an arithmetic number, because the mean of its divisors is an integer number (2032914315168).

Almost surely, 2101020222202010 is an apocalyptic number.

101020222202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101020222202010 is an abundant number, since it is smaller than the sum of its proper divisors (159192810139494).

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

101020222202010 is a wasteful number, since it uses less digits than its factorization.

101020222202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45031908.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101020222202010 its reverse (10202222020101), we get a palindrome (111222444222111).

The spelling of 101020222202010 in words is "one hundred one trillion, twenty billion, two hundred twenty-two million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 43 47 74 86 94 111 129 141 185 215 222 235 258 282 370 430 470 555 645 705 1110 1290 1410 1591 1739 2021 3182 3478 4042 4773 5217 6063 7955 8695 9546 10105 10434 12126 15910 17390 20210 23865 26085 30315 47730 52170 60630 74777 149554 224331 373885 448662 747770 1121655 2243310 45031771 90063542 135095313 225158855 270190626 450317710 675476565 1350953130 1666175527 1936366153 2116493237 3332351054 3872732306 4232986474 4998526581 5809098459 6349479711 8330877635 9681830765 9997053162 10582466185 11618196918 12698959422 16661755270 19363661530 21164932370 24992632905 29045492295 31747398555 49985265810 58090984590 63494797110 71645547661 78310249769 91009209191 143291095322 156620499538 182018418382 214936642983 234930749307 273027627573 358227738305 391551248845 429873285966 455046045955 469861498614 546055255146 716455476610 783102497690 910092091910 1074683214915 1174653746535 1365138137865 2149366429830 2349307493070 2730276275730 3367340740067 6734681480134 10102022220201 16836703700335 20204044440402 33673407400670 50510111101005 101020222202010