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210313013231202 = 237471632014732443
BaseRepresentation
bin101111110100011101010000…
…011100011111111001100010
31000120122201122111110222101220
4233310131100130133321202
5210031232022341344302
62023144244154235510
762204420345360160
oct5764352034377142
91016581574428356
10210313013231202
11610152801358a2
121b7080a2725b96
13904758029b1bb
1439d12c02a6230
15194aacdd584bc
hexbf475071fe62

210313013231202 has 128 divisors (see below), whose sum is σ = 493995113938944. Its totient is φ = 58445427797568.

The previous prime is 210313013231197. The next prime is 210313013231303. The reversal of 210313013231202 is 202132310313012.

It is a super-3 number, since 3×2103130132312023 (a number of 44 digits) contains 333 as substring.

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, 6482522793 + ... + 6482555235.

It is an arithmetic number, because the mean of its divisors is an integer number (3859336827648).

Almost surely, 2210313013231202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210313013231202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246997556969472).

210313013231202 is an abundant number, since it is smaller than the sum of its proper divisors (283682100707742).

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

210313013231202 is a wasteful number, since it uses less digits than its factorization.

210313013231202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52812.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 210313013231202 its reverse (202132310313012), we get a palindrome (412445323544214).

The spelling of 210313013231202 in words is "two hundred ten trillion, three hundred thirteen billion, thirteen million, two hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 163 282 326 329 489 658 978 987 1141 1974 2282 3423 6846 7661 15322 20147 22983 32443 40294 45966 53627 60441 64886 97329 107254 120882 141029 160881 194658 227101 282058 321762 423087 454202 681303 846174 946909 1362606 1524821 1893818 2840727 3049642 3283961 4574463 5288209 5681454 6567922 6628363 9148926 9851883 10576418 10673747 13256726 15864627 19703766 19885089 21347494 22987727 31729254 32021241 37017463 39770178 45975454 64042482 68963181 74034926 111052389 137926362 154346167 222104778 248545823 308692334 463038501 497091646 653629121 745637469 926077002 1080423169 1307258242 1491274938 1739820761 1960887363 2160846338 3241269507 3479641522 3921774726 4575403847 5219462283 6482539014 9150807694 10438924566 13726211541 27452423082 30720568687 61441137374 92161706061 106541546723 184323412122 213083093446 215043980809 319624640169 430087961618 639249280338 645131942427 745790827061 1290263884854 1491581654122 2237372481183 4474744962366 5007452695981 10014905391962 15022358087943 30044716175886 35052168871867 70104337743734 105156506615601 210313013231202