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121210202110110 = 235176171987193859
BaseRepresentation
bin11011100011110101110011…
…000010100011100010011110
3120220011120201101120000222220
4123203311303002203202132
5111341401443220010420
61105443110444050210
734350101542325361
oct3343656302434236
9526146641500886
10121210202110110
1135691a5a169663
1211717423533966
1352830c4547709
1421d08684cc0d8
15e02e4ed23840
hex6e3d730a389e

121210202110110 has 128 divisors (see below), whose sum is σ = 308672589335040. Its totient is φ = 30356636749824.

The previous prime is 121210202110103. The next prime is 121210202110133. The reversal of 121210202110110 is 11011202012121.

It is a happy number.

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 121210202110110.

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, 625152361 + ... + 625346219.

It is an arithmetic number, because the mean of its divisors is an integer number (2411504604180).

Almost surely, 2121210202110110 is an apocalyptic number.

121210202110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121210202110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154336294667520).

121210202110110 is an abundant number, since it is smaller than the sum of its proper divisors (187462387224930).

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

121210202110110 is a wasteful number, since it uses less digits than its factorization.

121210202110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196490.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121210202110110 its reverse (11011202012121), we get a palindrome (132221404122231).

The spelling of 121210202110110 in words is "one hundred twenty-one trillion, two hundred ten billion, two hundred two million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 617 1234 1851 1987 3085 3702 3974 5961 6170 9255 9935 10489 11922 18510 19870 20978 29805 31467 33779 52445 59610 62934 67558 101337 104890 157335 168895 193859 202674 314670 337790 387718 506685 581577 969295 1013370 1163154 1225979 1938590 2451958 2907885 3295603 3677937 5815770 6129895 6591206 7355874 9886809 12259790 16478015 18389685 19773618 20841643 32956030 36779370 41683286 49434045 62524929 98868090 104208215 119611003 125049858 208416430 239222006 312624645 358833009 385197833 598055015 625249290 717666018 770395666 1155593499 1196110030 1794165045 1925989165 2033387051 2311186998 3588330090 3851978330 4066774102 5777967495 6100161153 6548363161 10166935255 11555934990 12200322306 13096726322 19645089483 20333870510 30500805765 32741815805 39290178966 61001611530 65483631610 98225447415 196450894830 237667062961 475334125922 713001188883 1188335314805 1426002377766 2376670629610 3565005944415 4040340070337 7130011888830 8080680140674 12121020211011 20201700351685 24242040422022 40403400703370 60605101055055 121210202110110