Search a number
-
+
1110000132032 = 261131411240523
BaseRepresentation
bin10000001001110001001…
…010011101111111000000
310221010002211002002222012
4100021301022131333000
5121141240013211112
62205532123032052
7143123560306301
oct20116112357700
93833084062865
101110000132032
11398826156220
1215b16096b628
138089881086c
143ba1d6627a8
151dd18888022
hex1027129dfc0

1110000132032 has 112 divisors (see below), whose sum is σ = 2540910726144. Its totient is φ = 476360448000.

The previous prime is 1110000132019. The next prime is 1110000132041. The reversal of 1110000132032 is 2302310000111.

It is a super-2 number, since 2×11100001320322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110000131998 and 1110000132016.

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, 274523 + ... + 1515045.

It is an arithmetic number, because the mean of its divisors is an integer number (22686702912).

Almost surely, 21110000132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110000132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270455363072).

1110000132032 is an abundant number, since it is smaller than the sum of its proper divisors (1430910594112).

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

1110000132032 is a wasteful number, since it uses less digits than its factorization.

1110000132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240618 (or 1240608 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1110000132032 its reverse (2302310000111), we get a palindrome (3412310132143).

The spelling of 1110000132032 in words is "one trillion, one hundred ten billion, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 41 44 62 64 82 88 124 164 176 248 328 341 352 451 496 656 682 704 902 992 1271 1312 1364 1804 1984 2542 2624 2728 3608 5084 5456 7216 10168 10912 13981 14432 20336 21824 27962 28864 40672 55924 81344 111848 223696 447392 894784 1240523 2481046 4962092 9924184 13645753 19848368 27291506 38456213 39696736 50861443 54583012 76912426 79393472 101722886 109166024 153824852 203445772 218332048 307649704 406891544 423018343 436664096 559475873 615299408 813783088 846036686 873328192 1118951746 1230598816 1576704733 1627566176 1692073372 2237903492 2461197632 3153409466 3255132352 3384146744 4475806984 6306818932 6768293488 8951613968 12613637864 13536586976 17343752063 17903227936 25227275728 27073173952 34687504126 35806455872 50454551456 69375008252 100909102912 138750016504 277500033008 555000066016 1110000132032