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110032001030120 = 23513701330172537
BaseRepresentation
bin11001000001001011010010…
…010101011101011111101000
3112102120221211100010112202212
4121001023102111131133220
5103410231014230430440
61030004000424544252
732114356363010501
oct3101132225353750
9472527740115685
10110032001030120
1132072345064824
1210410b32622088
134951c860b1740
141d25812031ba8
15cac2b8d54465
hex6412d255d7e8

110032001030120 has 64 divisors (see below), whose sum is σ = 266654028730320. Its totient is φ = 40621405906944.

The previous prime is 110032001030111. The next prime is 110032001030153. The reversal of 110032001030120 is 21030100230011.

It can be written as a sum of positive squares in 8 ways, for example, as 62833809461284 + 47198191568836 = 7926778^2 + 6870094^2 .

It is a super-2 number, since 2×1100320010301202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110032001030095 and 110032001030104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11439509 + ... + 18733028.

Almost surely, 2110032001030120 is an apocalyptic number.

110032001030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110032001030120 is an abundant number, since it is smaller than the sum of its proper divisors (156622027700200).

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

110032001030120 is a wasteful number, since it uses less digits than its factorization.

110032001030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30179574 (or 30179570 counting only the distinct ones).

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

Adding to 110032001030120 its reverse (21030100230011), we get a palindrome (131062101260131).

The spelling of 110032001030120 in words is "one hundred ten trillion, thirty-two billion, one million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7013 14026 28052 35065 56104 70130 91169 140260 182338 280520 364676 455845 729352 911690 1823380 3646760 30172537 60345074 120690148 150862685 241380296 301725370 392242981 603450740 784485962 1206901480 1568971924 1961214905 3137943848 3922429810 7844859620 15689719240 211600001981 423200003962 846400007924 1058000009905 1692800015848 2116000019810 2750800025753 4232000039620 5501600051506 8464000079240 11003200103012 13754000128765 22006400206024 27508000257530 55016000515060 110032001030120