Search a number
-
+
102111021120 = 2635532006899
BaseRepresentation
bin101111100011001001…
…0101000100001000000
3100202120021220022211010
41133012102220201000
53133110410133440
6114524213320520
710243256234013
oct1370622504100
9322507808733
10102111021120
113a33a011559
1217958936140
139823c88b74
144d2957937a
1529c972c580
hex17c64a8840

102111021120 has 112 divisors (see below), whose sum is σ = 330319684800. Its totient is φ = 26715826176.

The previous prime is 102111021119. The next prime is 102111021127. The reversal of 102111021120 is 21120111201.

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 = 102111021096 and 102111021105.

It is not an unprimeable number, because it can be changed into a prime (102111021127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952570 + ... + 1054329.

It is an arithmetic number, because the mean of its divisors is an integer number (2949282900).

Almost surely, 2102111021120 is an apocalyptic number.

102111021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111021120 is an abundant number, since it is smaller than the sum of its proper divisors (228208663680).

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

102111021120 is a wasteful number, since it uses less digits than its factorization.

102111021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006972 (or 2006962 counting only the distinct ones).

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

Adding to 102111021120 its reverse (21120111201), we get a palindrome (123231132321).

The spelling of 102111021120 in words is "one hundred two billion, one hundred eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 12720 16960 25440 50880 2006899 4013798 6020697 8027596 10034495 12041394 16055192 20068990 24082788 30103485 32110384 40137980 48165576 60206970 64220768 80275960 96331152 106365647 120413940 128441536 160551920 192662304 212731294 240827880 319096941 321103840 385324608 425462588 481655760 531828235 638193882 642207680 850925176 963311520 1063656470 1276387764 1595484705 1701850352 1926623040 2127312940 2552775528 3190969410 3403700704 4254625880 5105551056 6381938820 6807401408 8509251760 10211102112 12763877640 17018503520 20422204224 25527755280 34037007040 51055510560 102111021120