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10101010111120 = 2451721380731643
BaseRepresentation
bin1001001011111101001100…
…0111101001101010010000
31022202122110202120120001001
42102333103013221222100
52310443332042023440
633252201234151344
72061526306205215
oct222772307515220
938678422516031
1010101010111120
1132448a59695a5
121171787a22554
135836a1005446
1426cc6a3adb0c
15127b3cba9b9a
hex92fd31e9a90

10101010111120 has 120 divisors (see below), whose sum is σ = 24950167979904. Its totient is φ = 3802337630208.

The previous prime is 10101010111117. The next prime is 10101010111121. The reversal of 10101010111120 is 2111101010101.

10101010111120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10101010111097 and 10101010111106.

It is not an unprimeable number, because it can be changed into a prime (10101010111121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319202019 + ... + 319233661.

Almost surely, 210101010111120 is an apocalyptic number.

10101010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101010111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475083989952).

10101010111120 is an abundant number, since it is smaller than the sum of its proper divisors (14849157868784).

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

10101010111120 is a wasteful number, since it uses less digits than its factorization.

10101010111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45497 (or 45474 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101010111120 its reverse (2111101010101), we get a palindrome (12212111121221).

The spelling of 10101010111120 in words is "ten trillion, one hundred one billion, ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 13807 23120 27614 31643 55228 63286 69035 110456 126572 138070 158215 220912 234719 253144 276140 316430 469438 506288 537931 552280 632860 938876 1075862 1104560 1173595 1265720 1877752 2151724 2347190 2531440 2689655 3755504 3990223 4303448 4694380 5379310 7980446 8606896 9144827 9388760 10758620 15960892 18289654 18777520 19951115 21517240 31921784 36579308 39902230 43034480 45724135 63843568 73158616 79804460 91448270 146317232 159608920 182896540 319217840 365793080 436894901 731586160 873789802 1747579604 2184474505 3495159208 4368949010 6990318416 7427213317 8737898020 14854426634 17475796040 29708853268 34951592080 37136066585 59417706536 74272133170 118835413072 126262626389 148544266340 252525252778 297088532680 505050505556 594177065360 631313131945 1010101011112 1262626263890 2020202022224 2525252527780 5050505055560 10101010111120