Search a number
-
+
121021101101020 = 225176715733838237
BaseRepresentation
bin11011100001000101101011…
…101111011100111111011100
3120212111111121121122110022111
4123201011223233130333130
5111330302203340213040
61105220154253123404
734330325463300151
oct3341055357347734
9525444547573274
10121021101101020
113561984061566a
12116a6849a89564
13526b319247cb3
1421c5649b06228
15ded083639dea
hex6e116bbdcfdc

121021101101020 has 96 divisors (see below), whose sum is σ = 274849869978432. Its totient is φ = 44595005165568.

The previous prime is 121021101101009. The next prime is 121021101101051. The reversal of 121021101101020 is 20101101120121.

It is a happy number.

It is a super-2 number, since 2×1210211011010202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13342659 + ... + 20495578.

It is an arithmetic number, because the mean of its divisors is an integer number (2863019478942).

Almost surely, 2121021101101020 is an apocalyptic number.

121021101101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121021101101020 is an abundant number, since it is smaller than the sum of its proper divisors (153828768877412).

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

121021101101020 is a wasteful number, since it uses less digits than its factorization.

121021101101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33838487 (or 33838485 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121021101101020 its reverse (20101101120121), we get a palindrome (141122202221141).

The spelling of 121021101101020 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 157 170 268 314 335 340 628 670 785 1139 1340 1570 2278 2669 3140 4556 5338 5695 10519 10676 11390 13345 21038 22780 26690 42076 52595 53380 105190 178823 210380 357646 715292 894115 1788230 3576460 33838237 67676474 135352948 169191185 338382370 575250029 676764740 1150500058 2267161879 2301000116 2876250145 4534323758 5312603209 5752500290 9068647516 10625206418 11335809395 11505000580 21250412836 22671618790 26563016045 38541751943 45343237580 53126032090 77083503886 90314254553 106252064180 154167007772 180628509106 192708759715 355944415003 361257018212 385417519430 451571272765 711888830006 770835038860 903142545530 1423777660012 1779722075015 1806285091060 3559444150030 6051055055051 7118888300060 12102110110102 24204220220204 30255275275255 60510550550510 121021101101020