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211214100024 = 233219714891011
BaseRepresentation
bin1100010010110101010…
…1110110011000111000
3202012011212120222202100
43010231111312120320
511430031302200044
6241010323103400
721155040141114
oct3045525663070
9665155528670
10211214100024
1181636942564
1234b27211b60
1316bc06c9915
14a3195a4744
155762c05869
hex312d576638

211214100024 has 48 divisors (see below), whose sum is σ = 574941973320. Its totient is φ = 70047311040.

The previous prime is 211214100007. The next prime is 211214100029. The reversal of 211214100024 is 420001412112.

211214100024 is a `hidden beast` number, since 211 + 21 + 410 + 0 + 0 + 24 = 666.

211214100024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112141000242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211214100029) 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, 7431322 + ... + 7459689.

Almost surely, 2211214100024 is an apocalyptic number.

211214100024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211214100024 is an abundant number, since it is smaller than the sum of its proper divisors (363727873296).

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

211214100024 is a wasteful number, since it uses less digits than its factorization.

211214100024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14891220 (or 14891213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211214100024 its reverse (420001412112), we get a palindrome (631215512136).

The spelling of 211214100024 in words is "two hundred eleven billion, two hundred fourteen million, one hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 14891011 29782022 44673033 59564044 89346066 119128088 134019099 178692132 268038198 357384264 536076396 1072152792 2933529167 5867058334 8800587501 11734116668 17601175002 23468233336 26401762503 35202350004 52803525006 70404700008 105607050012 211214100024