Search a number
-
+
11110120020 = 223251272272141
BaseRepresentation
bin10100101100011011…
…01111101001010100
31001200021122120111200
422112031233221110
5140223142320040
65034240232500
7542214314316
oct122615575124
931607576450
1011110120020
11479141167a
1221a090b730
1310809a251c
147757777b6
15450592630
hex29636fa54

11110120020 has 144 divisors (see below), whose sum is σ = 34131621888. Its totient is φ = 2925054720.

The previous prime is 11110119997. The next prime is 11110120093. The reversal of 11110120020 is 2002101111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11110119984 and 11110120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5188150 + ... + 5190290.

It is an arithmetic number, because the mean of its divisors is an integer number (237025152).

Almost surely, 211110120020 is an apocalyptic number.

11110120020 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 11110120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065810944).

11110120020 is an abundant number, since it is smaller than the sum of its proper divisors (23021501868).

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

11110120020 is a wasteful number, since it uses less digits than its factorization.

11110120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11110120020 its reverse (2002101111), we get a palindrome (13112221131).

The spelling of 11110120020 in words is "eleven billion, one hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 227 254 381 454 508 635 681 762 908 1135 1143 1270 1362 1524 1905 2043 2141 2270 2286 2540 2724 3405 3810 4086 4282 4540 4572 5715 6423 6810 7620 8172 8564 10215 10705 11430 12846 13620 19269 20430 21410 22860 25692 28829 32115 38538 40860 42820 57658 64230 77076 86487 96345 115316 128460 144145 172974 192690 259461 271907 288290 345948 385380 432435 486007 518922 543814 576580 815721 864870 972014 1037844 1087628 1297305 1359535 1458021 1631442 1729740 1944028 2430035 2447163 2594610 2719070 2916042 3262884 4078605 4374063 4860070 4894326 5189220 5438140 5832084 7290105 8157210 8748126 9720140 9788652 12235815 14580210 16314420 17496252 21870315 24471630 29160420 43740630 48943260 61722889 87481260 123445778 185168667 246891556 308614445 370337334 555506001 617228890 740674668 925843335 1111012002 1234457780 1851686670 2222024004 2777530005 3703373340 5555060010 11110120020