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210131121123210 = 235710351263189509
BaseRepresentation
bin101111110001110011110110…
…110101001010111110001010
31000120000100011010101111221110
4233301303312311022332022
5210020242014001420320
62022524523203151150
762155321033100220
oct5761636665127612
91016010133344843
10210131121123210
1160a55120848a01
121b69899b3754b6
139033383657331
1439c6587098b10
151945ed54a05e0
hexbf1cf6d4af8a

210131121123210 has 128 divisors (see below), whose sum is σ = 581969794498560. Its totient is φ = 47562481334016.

The previous prime is 210131121123191. The next prime is 210131121123241. The reversal of 210131121123210 is 12321121131012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 1108723936 + ... + 1108913444.

It is an arithmetic number, because the mean of its divisors is an integer number (4546639019520).

Almost surely, 2210131121123210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210131121123210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290984897249280).

210131121123210 is an abundant number, since it is smaller than the sum of its proper divisors (371838673375350).

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

210131121123210 is a wasteful number, since it uses less digits than its factorization.

210131121123210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240892.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 210131121123210 its reverse (12321121131012), we get a palindrome (222452242254222).

The spelling of 210131121123210 in words is "two hundred ten trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1442 1545 2163 3090 3605 4326 7210 10815 21630 51263 102526 153789 189509 256315 307578 358841 379018 512630 568527 717682 768945 947545 1076523 1137054 1326563 1537890 1794205 1895090 2153046 2653126 2842635 3588410 3979689 5280089 5382615 5685270 6632815 7959378 10560178 10765230 13265630 15840267 19519427 19898445 26400445 31680534 36960623 39038854 39796890 52800890 58558281 73921246 79201335 97597135 110881869 117116562 136635989 158402670 184803115 195194270 221763738 273271978 292791405 369606230 409907967 554409345 585582810 683179945 819815934 1108818690 1366359890 2049539835 4099079670 9714799867 19429599734 29144399601 48573999335 58288799202 68003599069 97147998670 136007198138 145721998005 204010797207 291443996010 340017995345 408021594414 680035990690 1000624386301 1020053986035 2001248772602 2040107972070 3001873158903 5003121931505 6003746317806 7004370704107 10006243863010 14008741408214 15009365794515 21013112112321 30018731589030 35021853520535 42026224224642 70043707041070 105065560561605 210131121123210