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1123109780 = 2251322314447
BaseRepresentation
bin100001011110001…
…0100101110010100
32220021022212222112
41002330110232110
54300004003110
6303240050152
736555163352
oct10274245624
92807285875
101123109780
11526a6a001
12274163958
1314b8b2700
14a92367d2
15688ed405
hex42f14b94

1123109780 has 72 divisors (see below), whose sum is σ = 2665135872. Its totient is φ = 396629376.

The previous prime is 1123109759. The next prime is 1123109783. The reversal of 1123109780 is 879013211.

It is a super-2 number, since 2×11231097802 = 2522751155863296800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123109783) 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, 70517 + ... + 84963.

It is an arithmetic number, because the mean of its divisors is an integer number (37015776).

Almost surely, 21123109780 is an apocalyptic number.

1123109780 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 1123109780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332567936).

1123109780 is an abundant number, since it is smaller than the sum of its proper divisors (1542026092).

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

1123109780 is a wasteful number, since it uses less digits than its factorization.

1123109780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14505 (or 14490 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1123109780 is about 33512.8300804334. The cubic root of 1123109780 is about 1039.4590937222.

The spelling of 1123109780 in words is "one billion, one hundred twenty-three million, one hundred nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 598 676 845 1196 1495 1690 2990 3380 3887 5980 7774 14447 15548 19435 28894 38870 57788 72235 77740 144470 187811 288940 332281 375622 664562 751244 939055 1329124 1661405 1878110 2441543 3322810 3756220 4319653 4883086 6645620 8639306 9766172 12207715 17278612 21598265 24415430 43196530 48830860 56155489 86393060 112310978 224621956 280777445 561554890 1123109780