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101220200330310 = 23354153777170029
BaseRepresentation
bin10111000000111100101010…
…000101011011010001000110
3111021101120000210111202001000
4113000330222011123101012
5101231342432241032220
6555135530150314130
730214626631623465
oct2700745205332106
9437346023452030
10101220200330310
112a285278310426
12b4291a0358946
13446304077a009
141add12608c9dc
15ba7e82ae8390
hex5c0f2a15b446

101220200330310 has 128 divisors (see below), whose sum is σ = 276510729801600. Its totient is φ = 26333066096640.

The previous prime is 101220200330297. The next prime is 101220200330329. The reversal of 101220200330310 is 13033002022101.

101220200330310 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 0 + 20 + 0 + 330 + 310 = 666.

It is a super-2 number, since 2×1012202003303102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595226376 + ... + 595396404.

It is an arithmetic number, because the mean of its divisors is an integer number (2160240076575).

Almost surely, 2101220200330310 is an apocalyptic number.

101220200330310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220200330310 is an abundant number, since it is smaller than the sum of its proper divisors (175290529471290).

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

101220200330310 is a wasteful number, since it uses less digits than its factorization.

101220200330310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223863 (or 223857 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101220200330310 its reverse (13033002022101), we get a palindrome (114253202352411).

The spelling of 101220200330310 in words is "one hundred one trillion, two hundred twenty billion, two hundred million, three hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 53777 107554 161331 170029 268885 322662 340058 483993 510087 537770 806655 850145 967986 1020174 1451979 1530261 1613310 1700290 2204857 2419965 2550435 2903958 3060522 4409714 4590783 4839930 5100870 6614571 6971189 7259895 7651305 9181566 11024285 13229142 13942378 14519790 15302610 19843713 20913567 22048570 22953915 33072855 34855945 39687426 41827134 45907830 59531139 62740701 66145710 69711890 99218565 104567835 119062278 125481402 188222103 198437130 209135670 297655695 313703505 376444206 595311390 627407010 941110515 1882221030 9143649533 18287299066 27430948599 45718247665 54861897198 82292845797 91436495330 137154742995 164585691594 246878537391 274309485990 374889630853 411464228985 493757074782 749779261706 822928457970 1124668892559 1234392686955 1874448154265 2249337785118 2468785373910 3374006677677 3748896308530 5623344462795 6748013355354 10122020033031 11246688925590 16870033388385 20244040066062 33740066776770 50610100165155 101220200330310