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1010210112120 = 2335111097021199
BaseRepresentation
bin11101011001101010011…
…01110000001001111000
310120120112021112212020210
432230311031300021320
5113022402242041440
62052030100351120
7132661643162526
oct16546515601170
93516467485223
101010210112120
1135a4782aa290
121439513a54a0
1374354670bc1
1436c74461316
151b427cc9a80
hexeb35370278

1010210112120 has 128 divisors (see below), whose sum is σ = 3336474240000. Its totient is φ = 242652602880.

The previous prime is 1010210112091. The next prime is 1010210112157. The reversal of 1010210112120 is 212110120101.

1010210112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010210112096 and 1010210112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3366720 + ... + 3654479.

It is an arithmetic number, because the mean of its divisors is an integer number (26066205000).

Almost surely, 21010210112120 is an apocalyptic number.

1010210112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010210112120 is an abundant number, since it is smaller than the sum of its proper divisors (2326264127880).

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

1010210112120 is a wasteful number, since it uses less digits than its factorization.

1010210112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021333 (or 7021329 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010210112120 its reverse (212110120101), we get a palindrome (1222320232221).

The spelling of 1010210112120 in words is "one trillion, ten billion, two hundred ten million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 109 110 120 132 165 218 220 264 327 330 436 440 545 654 660 872 1090 1199 1308 1320 1635 2180 2398 2616 3270 3597 4360 4796 5995 6540 7194 9592 11990 13080 14388 17985 23980 28776 35970 47960 71940 143880 7021199 14042398 21063597 28084796 35105995 42127194 56169592 70211990 77233189 84254388 105317985 140423980 154466378 168508776 210635970 231699567 280847960 308932756 386165945 421271940 463399134 617865512 765310691 772331890 842543880 926798268 1158497835 1530621382 1544663780 1853596536 2295932073 2316995670 3061242764 3089327560 3826553455 4591864146 4633991340 6122485528 7653106910 8418417601 9183728292 9267982680 11479660365 15306213820 16836835202 18367456584 22959320730 25255252803 30612427640 33673670404 42092088005 45918641460 50510505606 67347340808 84184176010 91837282920 101021011212 126276264015 168368352020 202042022424 252552528030 336736704040 505105056060 1010210112120