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298019901102 = 237211167551809
BaseRepresentation
bin1000101011000110101…
…11101100111010101110
31001111020112000120200220
410111203113230322232
514340321043313402
6344524120432210
730350132235300
oct4254327547256
91044215016626
10298019901102
11105431512730
1249912318666
1322145831961
14105d2187970
157b4392cdbc
hex45635eceae

298019901102 has 96 divisors (see below), whose sum is σ = 760915088640. Its totient is φ = 76944107520.

The previous prime is 298019901071. The next prime is 298019901119. The reversal of 298019901102 is 201109910892.

It is a super-4 number, since 4×2980199011024 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264174 + ... + 815982.

It is an arithmetic number, because the mean of its divisors is an integer number (7926198840).

Almost surely, 2298019901102 is an apocalyptic number.

298019901102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 298019901102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380457544320).

298019901102 is an abundant number, since it is smaller than the sum of its proper divisors (462895187538).

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

298019901102 is a wasteful number, since it uses less digits than its factorization.

298019901102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552006 (or 551999 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 298019901102 in words is "two hundred ninety-eight billion, nineteen million, nine hundred one thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 167 231 294 334 462 501 539 1002 1078 1169 1617 1837 2338 3234 3507 3674 5511 7014 8183 11022 12859 16366 24549 25718 38577 49098 77154 90013 180026 270039 540078 551809 1103618 1655427 3310854 3862663 6069899 7725326 11587989 12139798 18209697 23175978 27038641 36419394 42489293 54077282 81115923 84978586 92152103 127467879 162231846 184304206 254935758 276456309 297425051 552912618 594850102 645064721 892275153 1013673133 1290129442 1784550306 1935194163 2027346266 3041019399 3870388326 4515453047 6082038798 7095711931 9030906094 13546359141 14191423862 21287135793 27092718282 42574271586 49669983517 99339967034 149009950551 298019901102