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211103113100 = 225211601319321
BaseRepresentation
bin1100010010011010111…
…0011101111110001100
3202011220010202021022112
43010212232131332030
511424314344104400
6240551320203152
721152221566065
oct3044656357614
9664803667275
10211103113100
118158a227430
1234ab60094b8
1316ba370a299
14a30895356c
1557580d0835
hex3126b9df8c

211103113100 has 72 divisors (see below), whose sum is σ = 500571721776. Its totient is φ = 76636800000.

The previous prime is 211103113073. The next prime is 211103113121. The reversal of 211103113100 is 1311301112.

It is a happy number.

It is a super-2 number, since 2×2111031131002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501440 + ... + 820760.

Almost surely, 2211103113100 is an apocalyptic number.

211103113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211103113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250285860888).

211103113100 is an abundant number, since it is smaller than the sum of its proper divisors (289468608676).

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

211103113100 is a wasteful number, since it uses less digits than its factorization.

211103113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319947 (or 319940 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 211103113100 its reverse (1311301112), we get a palindrome (212414414212).

The spelling of 211103113100 in words is "two hundred eleven billion, one hundred three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 601 1100 1202 2404 3005 6010 6611 12020 13222 15025 26444 30050 33055 60100 66110 132220 165275 319321 330550 638642 661100 1277284 1596605 3193210 3512531 6386420 7025062 7983025 14050124 15966050 17562655 31932100 35125310 70250620 87813275 175626550 191911921 351253100 383823842 767647684 959559605 1919119210 2111031131 3838238420 4222062262 4797798025 8444124524 9595596050 10555155655 19191192100 21110311310 42220622620 52775778275 105551556550 211103113100