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212010011010 = 23357523214483
BaseRepresentation
bin1100010101110011001…
…0000000100110000010
3202021020100020110101000
43011130302000212002
511433144030323020
6241221314152430
721213543234240
oct3053462004602
9667210213330
10212010011010
1181a05140236
1235109882716
1316cb957a575
14a393187790
1557aca21090
hex315cc80982

212010011010 has 128 divisors (see below), whose sum is σ = 647364188160. Its totient is φ = 48366548928.

The previous prime is 212010010999. The next prime is 212010011033. The reversal of 212010011010 is 10110010212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212010010983 and 212010011001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 881229 + ... + 1095711.

It is an arithmetic number, because the mean of its divisors is an integer number (5057532720).

Almost surely, 2212010011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323682094080).

212010011010 is an abundant number, since it is smaller than the sum of its proper divisors (435354177150).

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

212010011010 is a wasteful number, since it uses less digits than its factorization.

212010011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215029 (or 215023 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212010011010 its reverse (10110010212), we get a palindrome (222120021222).

The spelling of 212010011010 in words is "two hundred twelve billion, ten million, eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 523 630 945 1046 1569 1890 2615 3138 3661 4707 5230 7322 7845 9414 10983 14121 15690 18305 21966 23535 28242 32949 36610 47070 54915 65898 70605 98847 109830 141210 164745 197694 214483 329490 428966 494235 643449 988470 1072415 1286898 1501381 1930347 2144830 3002762 3217245 3860694 4504143 5791041 6434490 7506905 9008286 9651735 11582082 13512429 15013810 19303470 22520715 27024858 28955205 40537287 45041430 57910410 67562145 81074574 112174609 135124290 202686435 224349218 336523827 405372870 560873045 673047654 785222263 1009571481 1121746090 1570444526 1682619135 2019142962 2355666789 3028714443 3365238270 3926111315 4711333578 5047857405 6057428886 7067000367 7852222630 10095714810 11778333945 14134000734 15143572215 21201001101 23556667890 30287144430 35335001835 42402002202 70670003670 106005005505 212010011010