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11211001120 = 255116369887
BaseRepresentation
bin10100111000011101…
…00100110100100000
31001221022110212100201
422130032210310200
5140430004013440
65052242354544
7544550636314
oct123416446440
931838425321
1011211001120
114833355090
12220a65ba54
131098864097
14784d17b44
1545936d19a
hex29c3a4d20

11211001120 has 48 divisors (see below), whose sum is σ = 28893811968. Its totient is φ = 4076727040.

The previous prime is 11211001117. The next prime is 11211001121. The reversal of 11211001120 is 2110011211.

It is a super-2 number, since 2×112110011202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11211001097 and 11211001106.

It is not an unprimeable number, because it can be changed into a prime (11211001121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3183184 + ... + 3186703.

It is an arithmetic number, because the mean of its divisors is an integer number (601954416).

Almost surely, 211211001120 is an apocalyptic number.

11211001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211001120 is an abundant number, since it is smaller than the sum of its proper divisors (17682810848).

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

11211001120 is a wasteful number, since it uses less digits than its factorization.

11211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369913 (or 6369905 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11211001120 its reverse (2110011211), we get a palindrome (13321012331).

It can be divided in two parts, 1 and 1211001120, that added together give a palindrome (1211001121).

The spelling of 11211001120 in words is "eleven billion, two hundred eleven million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6369887 12739774 25479548 31849435 50959096 63698870 70068757 101918192 127397740 140137514 203836384 254795480 280275028 350343785 509590960 560550056 700687570 1019181920 1121100112 1401375140 2242200224 2802750280 5605500560 11211001120