Search a number
-
+
1110021211120 = 24517907899881
BaseRepresentation
bin10000001001110010011…
…010111000001111110000
310221010011021202001001011
4100021302122320033300
5121141310412223440
62205534154520304
7143124234421333
oct20116232701760
93833137661034
101110021211120
11398837043258
1215b167a36094
138089ccb11b3
143ba2238c61a
151dd1a64d9ea
hex102726b83f0

1110021211120 has 80 divisors (see below), whose sum is σ = 2735626881888. Its totient is φ = 417429135360.

The previous prime is 1110021211109. The next prime is 1110021211139. The reversal of 1110021211120 is 211121200111.

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-2 number, since 2×11100212111202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1110021211120.

It is a congruent number.

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, 783580 + ... + 1683460.

Almost surely, 21110021211120 is an apocalyptic number.

1110021211120 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 1110021211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367813440944).

1110021211120 is an abundant number, since it is smaller than the sum of its proper divisors (1625605670768).

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

1110021211120 is a wasteful number, since it uses less digits than its factorization.

1110021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900818 (or 900812 counting only the distinct ones).

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

Adding to 1110021211120 its reverse (211121200111), we get a palindrome (1321142411231).

The spelling of 1110021211120 in words is "one trillion, one hundred ten billion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 907 1360 1814 3628 4535 7256 9070 14512 15419 18140 30838 36280 61676 72560 77095 123352 154190 246704 308380 616760 899881 1233520 1799762 3599524 4499405 7199048 8998810 14398096 15297977 17997620 30595954 35995240 61191908 71990480 76489885 122383816 152979770 244767632 305959540 611919080 816192067 1223838160 1632384134 3264768268 4080960335 6529536536 8161920670 13059073072 13875265139 16323841340 27750530278 32647682680 55501060556 65295365360 69376325695 111002121112 138752651390 222004242224 277505302780 555010605560 1110021211120