Search a number
-
+
211231003120 = 24510132606503
BaseRepresentation
bin1100010010111001011…
…0010101000111110000
3202012020001101202102221
43010232112111013300
511430100114044440
6241012125250424
721155333621224
oct3045626250760
9665201352387
10211231003120
1181645438065
1234b30a03a14
1316bc4067557
14a31b924784
155764443d4a
hex312e5951f0

211231003120 has 40 divisors (see below), whose sum is σ = 491597080416. Its totient is φ = 84408960768.

The previous prime is 211231003117. The next prime is 211231003127. The reversal of 211231003120 is 21300132112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211231003094 and 211231003103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211231003127) 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, 1222212 + ... + 1384291.

Almost surely, 2211231003120 is an apocalyptic number.

211231003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211231003120 is an abundant number, since it is smaller than the sum of its proper divisors (280366077296).

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

211231003120 is a wasteful number, since it uses less digits than its factorization.

211231003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607529 (or 2607523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211231003120 its reverse (21300132112), we get a palindrome (232531135232).

The spelling of 211231003120 in words is "two hundred eleven billion, two hundred thirty-one million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1013 2026 4052 5065 8104 10130 16208 20260 40520 81040 2606503 5213006 10426012 13032515 20852024 26065030 41704048 52130060 104260120 208520240 2640387539 5280775078 10561550156 13201937695 21123100312 26403875390 42246200624 52807750780 105615501560 211231003120