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100311211100 = 22523472890813
BaseRepresentation
bin101110101101100000…
…0111001110001011100
3100120220212020111121202
41131123000321301130
53120414132223400
6114025441215032
710150543140332
oct1353300716134
9316825214552
10100311211100
11395a6077661
1217536031478
1395c8134419
144bd8511b52
1529217104d5
hex175b039c5c

100311211100 has 36 divisors (see below), whose sum is σ = 218302710024. Its totient is φ = 40008838080.

The previous prime is 100311211097. The next prime is 100311211103. The reversal of 100311211100 is 1112113001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100311211097) and next prime (100311211103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311211103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1410707 + ... + 1480106.

Almost surely, 2100311211100 is an apocalyptic number.

100311211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311211100 is an abundant number, since it is smaller than the sum of its proper divisors (117991498924).

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

100311211100 is a wasteful number, since it uses less digits than its factorization.

100311211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891174 (or 2891167 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100311211100 its reverse (1112113001), we get a palindrome (101423324101).

The spelling of 100311211100 in words is "one hundred billion, three hundred eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 347 694 1388 1735 3470 6940 8675 17350 34700 2890813 5781626 11563252 14454065 28908130 57816260 72270325 144540650 289081300 1003112111 2006224222 4012448444 5015560555 10031121110 20062242220 25077802775 50155605550 100311211100