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1010112211120 = 24517838948549
BaseRepresentation
bin11101011001011110110…
…00010010100010110000
310120120021110022222022211
432230233120102202300
5113022202211223440
62052012242141504
7132656344062055
oct16545730224260
93516243288284
101010112211120
1135a428011871
12143924651894
137433a2b390c
1436c6545902c
151b41e3dbeea
hexeb2f6128b0

1010112211120 has 80 divisors (see below), whose sum is σ = 2516618613600. Its totient is φ = 375695839232.

The previous prime is 1010112211099. The next prime is 1010112211127. The reversal of 1010112211120 is 211122110101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10101122111203 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010112211120.

It is not an unprimeable number, because it can be changed into a prime (1010112211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4361395 + ... + 4587154.

It is an arithmetic number, because the mean of its divisors is an integer number (31457732670).

Almost surely, 21010112211120 is an apocalyptic number.

1010112211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010112211120 is an abundant number, since it is smaller than the sum of its proper divisors (1506506402480).

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

1010112211120 is a wasteful number, since it uses less digits than its factorization.

1010112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948662 (or 8948656 counting only the distinct ones).

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

Adding to 1010112211120 its reverse (211122110101), we get a palindrome (1221234321221).

The spelling of 1010112211120 in words is "one trillion, ten billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 136 166 170 272 332 340 415 664 680 830 1328 1360 1411 1660 2822 3320 5644 6640 7055 11288 14110 22576 28220 56440 112880 8948549 17897098 35794196 44742745 71588392 89485490 143176784 152125333 178970980 304250666 357941960 608501332 715883920 742729567 760626665 1217002664 1485459134 1521253330 2434005328 2970918268 3042506660 3713647835 5941836536 6085013320 7427295670 11883673072 12170026640 12626402639 14854591340 25252805278 29709182680 50505610556 59418365360 63132013195 101011221112 126264026390 202022442224 252528052780 505056105560 1010112211120