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212211210042 = 23413467215771
BaseRepresentation
bin1100010110100011000…
…1100001011100111010
3202021202100211102120000
43011220301201130322
511434102032210132
6241253302413430
721221535344316
oct3055061413472
9667670742500
10212211210042
1181aa8772027
1235165131276
131701c164550
14a3b1b9cb46
1557c051587c
hex3168c6173a

212211210042 has 80 divisors (see below), whose sum is σ = 513186946272. Its totient is φ = 65155635360.

The previous prime is 212211210037. The next prime is 212211210077. The reversal of 212211210042 is 240012112212.

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 = 212211209997 and 212211210024.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 875617 + ... + 1091387.

Almost surely, 2212211210042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211210042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256593473136).

212211210042 is an abundant number, since it is smaller than the sum of its proper divisors (300975736230).

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

212211210042 is a wasteful number, since it uses less digits than its factorization.

212211210042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216265 (or 216256 counting only the distinct ones).

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

Adding to 212211210042 its reverse (240012112212), we get a palindrome (452223322254).

The spelling of 212211210042 in words is "two hundred twelve billion, two hundred eleven million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 467 702 934 1053 1401 2106 2802 4203 6071 8406 12142 12609 18213 25218 36426 37827 54639 75654 109278 163917 215771 327834 431542 491751 647313 983502 1294626 1941939 2805023 3883878 5610046 5825817 8415069 11651634 16830138 17477451 25245207 34954902 50490414 75735621 100765057 151471242 201530114 227206863 302295171 454413726 604590342 906885513 1309945741 1813771026 2619891482 2720656539 3929837223 5441313078 7859674446 8161969617 11789511669 16323939234 23579023338 35368535007 70737070014 106105605021 212211210042