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10120123102210 = 2511223219937933
BaseRepresentation
bin1001001101000100011001…
…0101111011010000000010
31022211110210210001002210221
42103101012111323100002
52311302003003232320
633305042000013254
72063104041021262
oct223210625732002
938743723032727
1010120123102210
113251a13729700
12117542090122a
135854289b4824
1426db6095b7a2
151283aab133aa
hex9344657b402

10120123102210 has 144 divisors (see below), whose sum is σ = 20944337497272. Its totient is φ = 3517833116160.

The previous prime is 10120123102207. The next prime is 10120123102253. The reversal of 10120123102210 is 1220132102101.

It can be written as a sum of positive squares in 4 ways, for example, as 8171862670609 + 1948260431601 = 2858647^2 + 1395801^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1275695404 + ... + 1275703336.

Almost surely, 210120123102210 is an apocalyptic number.

10120123102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120123102210 is an abundant number, since it is smaller than the sum of its proper divisors (10824214395062).

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

10120123102210 is a wasteful number, since it uses less digits than its factorization.

10120123102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10120123102210 its reverse (1220132102101), we get a palindrome (11340255204311).

The spelling of 10120123102210 in words is "ten trillion, one hundred twenty billion, one hundred twenty-three million, one hundred two thousand, two hundred ten".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 121 230 242 253 506 529 605 1058 1210 1265 1993 2530 2645 2783 3986 5290 5566 5819 7933 9965 11638 13915 15866 19930 21923 27830 29095 39665 43846 45839 58190 64009 79330 87263 91678 109615 128018 174526 182459 219230 229195 241153 320045 364918 436315 458390 482306 504229 640090 872630 912295 959893 1008458 1054297 1205765 1824590 1919786 2007049 2108594 2411530 2521145 4014098 4196557 4799465 5042290 5271485 5546519 8393114 9598930 10035245 10542970 11093038 11597267 15810469 20070490 20982785 22077539 23194534 27732595 31620938 41965570 44155078 46162127 55465190 57986335 79052345 92324254 110387695 115972670 127569937 158104690 173915159 220775390 230810635 255139874 347830318 363640787 461621270 507783397 637849685 727281574 869575795 1015566794 1275699370 1739151590 1818203935 1913066749 2538916985 3636407870 3826133498 4000048657 5077833970 8000097314 8363738101 9565333745 16727476202 19130667490 20000243285 40000486570 41818690505 44000535227 83637381010 88001070454 92001119111 184002238222 220002676135 440005352270 460005595555 920011191110 1012012310221 2024024620442 5060061551105 10120123102210