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212000210202 = 2311611512411447
BaseRepresentation
bin1100010101110000110…
…0100111110100011010
3202021012122210112012010
43011130030213310122
511433134023211302
6241220324130350
721213364024404
oct3053414476432
9667178715163
10212000210202
11819aa6567a0
12351065369b6
1316cb7528581
14a391b55b74
1557abc3716c
hex315c327d1a

212000210202 has 128 divisors (see below), whose sum is σ = 475534135296. Its totient is φ = 62467200000.

The previous prime is 212000210179. The next prime is 212000210249. The reversal of 212000210202 is 202012000212.

212000210202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 146509443 + ... + 146510889.

It is an arithmetic number, because the mean of its divisors is an integer number (3715110432).

Almost surely, 2212000210202 is an apocalyptic number.

212000210202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000210202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237767067648).

212000210202 is an abundant number, since it is smaller than the sum of its proper divisors (263533925094).

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

212000210202 is a wasteful number, since it uses less digits than its factorization.

212000210202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212000210202 its reverse (202012000212), we get a palindrome (414012210414).

The spelling of 212000210202 in words is "two hundred twelve billion, two hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 61 66 122 151 183 241 302 366 453 482 671 723 906 1342 1446 1447 1661 2013 2651 2894 3322 4026 4341 4983 5302 7953 8682 9211 9966 14701 15906 15917 18422 27633 29402 31834 36391 44103 47751 55266 72782 88206 88267 95502 101321 109173 161711 176534 202642 218346 218497 264801 303963 323422 348727 400301 436994 485133 529602 607926 655491 697454 800602 970266 970937 1046181 1200903 1310982 1941874 2092362 2219851 2401806 2403467 2912811 3835997 4439702 4806934 5825622 6659553 7210401 7671994 11507991 13319106 13328317 14420802 21272347 23015982 24418361 26656634 39984951 42544694 48836722 52657777 63817041 73255083 79969902 105315554 127634082 146510166 146611487 157973331 233995817 293222974 315946662 439834461 467991634 579235547 701987451 879668922 1158471094 1403974902 1737706641 3212124397 3475413282 6424248794 9636373191 19272746382 35333368367 70666736734 106000105101 212000210202