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212021013024 = 2533245394691
BaseRepresentation
bin1100010101110101101…
…1111110101000100000
3202021021002221102022000
43011131123332220200
511433204334404044
6241222350044000
721214035606132
oct3053533765040
9667232842260
10212021013024
1181a10375207
12351114a9600
1316cbb930232
14a39480d052
1557ad995d69
hex315d6fea20

212021013024 has 48 divisors (see below), whose sum is σ = 618394623840. Its totient is φ = 70673670720.

The previous prime is 212021012911. The next prime is 212021013059. The reversal of 212021013024 is 420310120212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 212021012988 and 212021013006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122696482 + ... + 122698209.

It is an arithmetic number, because the mean of its divisors is an integer number (12883221330).

Almost surely, 2212021013024 is an apocalyptic number.

212021013024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212021013024 is an abundant number, since it is smaller than the sum of its proper divisors (406373610816).

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

212021013024 is a wasteful number, since it uses less digits than its factorization.

212021013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245394710 (or 245394696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212021013024 its reverse (420310120212), we get a palindrome (632331133236).

The spelling of 212021013024 in words is "two hundred twelve billion, twenty-one million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 245394691 490789382 736184073 981578764 1472368146 1963157528 2208552219 2944736292 3926315056 4417104438 5889472584 6625656657 7852630112 8834208876 11778945168 13251313314 17668417752 23557890336 26502626628 35336835504 53005253256 70673671008 106010506512 212021013024