Search a number
-
+
212011400304 = 2432111048712763
BaseRepresentation
bin1100010101110011011…
…1010011110001110000
3202021020102212001010100
43011130313103301300
511433144404302204
6241221404032400
721213561111534
oct3053467236160
9667212761110
10212011400304
1181a059aa010
123510a232700
1316cb9945a32
14a393429bc4
1557acbe7a39
hex315cdd3c70

212011400304 has 120 divisors (see below), whose sum is σ = 647389671552. Its totient is φ = 64234719360.

The previous prime is 212011400291. The next prime is 212011400329. The reversal of 212011400304 is 403004110212.

212011400304 is a `hidden beast` number, since 21 + 201 + 140 + 0 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16605027 + ... + 16617789.

Almost surely, 2212011400304 is an apocalyptic number.

212011400304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212011400304 is an abundant number, since it is smaller than the sum of its proper divisors (435378271248).

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

212011400304 is a wasteful number, since it uses less digits than its factorization.

212011400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23275 (or 23266 counting only the distinct ones).

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

Adding to 212011400304 its reverse (403004110212), we get a palindrome (615015510516).

The spelling of 212011400304 in words is "two hundred twelve billion, eleven million, four hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 10487 12763 20974 25526 31461 38289 41948 51052 62922 76578 83896 94383 102104 114867 115357 125844 140393 153156 167792 188766 204208 229734 230714 251688 280786 306312 346071 377532 421179 459468 461428 503376 561572 612624 692142 755064 842358 918936 922856 1038213 1123144 1263537 1384284 1510128 1684716 1837872 1845712 2076426 2246288 2527074 2768568 3369432 4152852 5054148 5537136 6738864 8305704 10108296 16611408 20216592 133845581 267691162 401536743 535382324 803073486 1070764648 1204610229 1472301391 1606146972 2141529296 2409220458 2944602782 3212293944 4416904173 4818440916 5889205564 6424587888 8833808346 9636881832 11778411128 13250712519 17667616692 19273763664 23556822256 26501425038 35335233384 53002850076 70670466768 106005700152 212011400304