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201102102021210 = 235132519973205993
BaseRepresentation
bin101101101110011010111011…
…010110101100010001011010
3222101001011200021000120022120
4231232122323112230101122
5202324324101104134320
61551413010312402110
760234101363035005
oct5556327326542132
9871034607016276
10201102102021210
1159093a16962a55
121a67ab270a6336
138829b016b1c90
14379357234253c
15183b1d9356440
hexb6e6bb5ac45a

201102102021210 has 128 divisors (see below), whose sum is σ = 521897248970496. Its totient is φ = 49299653376000.

The previous prime is 201102102021181. The next prime is 201102102021211. The reversal of 201102102021210 is 12120201201102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201102102021210.

It is not an unprimeable number, because it can be changed into a prime (201102102021211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976153974 + ... + 976359966.

It is an arithmetic number, because the mean of its divisors is an integer number (4077322257582).

Almost surely, 2201102102021210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102102021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260948624485248).

201102102021210 is an abundant number, since it is smaller than the sum of its proper divisors (320795146949286).

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

201102102021210 is a wasteful number, since it uses less digits than its factorization.

201102102021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216240.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201102102021210 its reverse (12120201201102), we get a palindrome (213222303222312).

The spelling of 201102102021210 in words is "two hundred one trillion, one hundred two billion, one hundred two million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 251 390 502 753 1255 1506 2510 3263 3765 6526 7530 9789 9973 16315 19578 19946 29919 32630 48945 49865 59838 97890 99730 129649 149595 205993 259298 299190 388947 411986 617979 648245 777894 1029965 1235958 1296490 1944735 2059930 2503223 2677909 3089895 3889470 5006446 5355818 6179790 7509669 8033727 12516115 13389545 15019338 16067454 25032230 26779090 32541899 37548345 40168635 51704243 65083798 75096690 80337270 97625697 103408486 155112729 162709495 195251394 258521215 310225458 325418990 488128485 517042430 672155159 775563645 976256970 1344310318 1551127290 2016465477 2054368189 3360775795 4032930954 4108736378 6163104567 6721551590 10082327385 10271840945 12326209134 20164654770 20543681890 26706786457 30815522835 53413572914 61631045670 80120359371 133533932285 160240718742 267067864570 400601796855 515646415439 801203593710 1031292830878 1546939246317 2578232077195 3093878492634 5156464154390 6703403400707 7734696231585 13406806801414 15469392463170 20110210202121 33517017003535 40220420404242 67034034007070 100551051010605 201102102021210