Search a number
-
+
1110301101030 = 235118969154709
BaseRepresentation
bin10000001010000011000…
…110100100101111100110
310221010212210101220211010
4100022003012210233212
5121142344040213110
62210022033523050
7143134203433032
oct20120306445746
93833783356733
101110301101030
11398970031730
1215b225713486
1380915c8a724
143ba4b6091c2
151dd34ed9020
hex102831a4be6

1110301101030 has 128 divisors (see below), whose sum is σ = 2943940723200. Its totient is φ = 265749580800.

The previous prime is 1110301101023. The next prime is 1110301101059. The reversal of 1110301101030 is 301011030111.

It is a junction number, because it is equal to n+sod(n) for n = 1110301100997 and 1110301101015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20267316 + ... + 20322024.

It is an arithmetic number, because the mean of its divisors is an integer number (22999536900).

Almost surely, 21110301101030 is an apocalyptic number.

1110301101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110301101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471970361600).

1110301101030 is an abundant number, since it is smaller than the sum of its proper divisors (1833639622170).

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

1110301101030 is a wasteful number, since it uses less digits than its factorization.

1110301101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55510.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1110301101030 its reverse (301011030111), we get a palindrome (1411312131141).

The spelling of 1110301101030 in words is "one trillion, one hundred ten billion, three hundred one million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 267 330 445 534 691 890 979 1335 1382 1958 2073 2670 2937 3455 4146 4895 5874 6910 7601 9790 10365 14685 15202 20730 22803 29370 38005 45606 54709 61499 76010 109418 114015 122998 164127 184497 228030 273545 307495 328254 368994 547090 601799 614990 676489 820635 922485 1203598 1352978 1641270 1805397 1844970 2029467 3008995 3382445 3610794 4058934 4869101 6017990 6764890 9026985 9738202 10147335 14607303 18053970 20294670 24345505 29214606 37803919 48691010 53560111 73036515 75607838 107120222 113411757 146073030 160680333 189019595 226823514 267800555 321360666 378039190 415843109 535601110 567058785 803401665 831686218 1134117570 1247529327 1606803330 2079215545 2495058654 3364548791 4158431090 6237646635 6729097582 10093646373 12475293270 16822743955 20187292746 33645487910 37010036701 50468231865 74020073402 100936463730 111030110103 185050183505 222060220206 370100367010 555150550515 1110301101030