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1020011110120 = 235263211345887
BaseRepresentation
bin11101101011111010110…
…01100101111011101000
310121111211022212010221201
432311331121211323220
5113202440321010440
62100330414013544
7133456553244652
oct16657531457350
93544738763851
101020011110120
11363647753132
121458277a72b4
13752570633c2
1437523dc16d2
151b7ed47919a
hexed7d665ee8

1020011110120 has 64 divisors (see below), whose sum is σ = 2304891832320. Its totient is φ = 406251884544.

The previous prime is 1020011110051. The next prime is 1020011110177. The reversal of 1020011110120 is 210111100201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020011110097 and 1020011110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22205817 + ... + 22251703.

It is an arithmetic number, because the mean of its divisors is an integer number (36013934880).

Almost surely, 21020011110120 is an apocalyptic number.

1020011110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020011110120 is an abundant number, since it is smaller than the sum of its proper divisors (1284880722200).

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

1020011110120 is a wasteful number, since it uses less digits than its factorization.

1020011110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48274 (or 48270 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1020011110120 its reverse (210111100201), we get a palindrome (1230122210321).

It can be divided in two parts, 102001 and 1110120, that added together give a palindrome (1212121).

The spelling of 1020011110120 in words is "one trillion, twenty billion, eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 263 526 1052 1315 2104 2113 2630 4226 5260 8452 10520 10565 16904 21130 42260 45887 84520 91774 183548 229435 367096 458870 555719 917740 1111438 1835480 2222876 2778595 4445752 5557190 11114380 12068281 22228760 24136562 48273124 60341405 96546248 96959231 120682810 193918462 241365620 387836924 482731240 484796155 775673848 969592310 1939184620 3878369240 25500277753 51000555506 102001111012 127501388765 204002222024 255002777530 510005555060 1020011110120