Search a number
-
+
110002111002120 = 23352673173429203
BaseRepresentation
bin11001000000101111011100…
…110000000011011000001000
3112102111002200020202210121210
4121000233130300003120020
5103404233310404031440
61025542134441533120
732112250566655641
oct3100573460033010
9472432606683553
10110002111002120
11320606a6a03347
12104071904a41a0
13494c20174203c
141d241b84526c8
15cab619beea80
hex640bdcc03608

110002111002120 has 64 divisors (see below), whose sum is σ = 330007663753920. Its totient is φ = 29333777978624.

The previous prime is 110002111002109. The next prime is 110002111002131. The reversal of 110002111002120 is 21200111200011.

110002111002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110002111002109) and next prime (110002111002131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110002111002096 and 110002111002105.

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, 30363439 + ... + 33792641.

It is an arithmetic number, because the mean of its divisors is an integer number (5156369746155).

Almost surely, 2110002111002120 is an apocalyptic number.

110002111002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002111002120 is an abundant number, since it is smaller than the sum of its proper divisors (220005552751800).

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

110002111002120 is a wasteful number, since it uses less digits than its factorization.

110002111002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696534 (or 3696530 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110002111002120 its reverse (21200111200011), we get a palindrome (131202222202131).

The spelling of 110002111002120 in words is "one hundred ten trillion, two billion, one hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 267317 534634 801951 1069268 1336585 1603902 2138536 2673170 3207804 3429203 4009755 5346340 6415608 6858406 8019510 10287609 10692680 13716812 16039020 17146015 20575218 27433624 32078040 34292030 41150436 51438045 68584060 82300872 102876090 137168120 205752180 411504360 916684258351 1833368516702 2750052775053 3666737033404 4583421291755 5500105550106 7333474066808 9166842583510 11000211100212 13750263875265 18333685167020 22000422200424 27500527750530 36667370334040 55001055501060 110002111002120