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201012344452352 = 2853101321316863
BaseRepresentation
bin101101101101000111010101…
…011000101111010100000000
3222100201120222220022122012102
4231231013111120233110000
5202321341240134433402
61551303443552245532
760224443166220536
oct5555072530572400
9870646886278172
10201012344452352
1159059947075a84
121a6656575408a8
1388214c8b822a4
14378d099710156
151838bd4416102
hexb6d1d562f500

201012344452352 has 144 divisors (see below), whose sum is σ = 409465287399168. Its totient is φ = 98451909304320.

The previous prime is 201012344452279. The next prime is 201012344452393. The reversal of 201012344452352 is 253254443210102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29289278873 + ... + 29289285735.

It is an arithmetic number, because the mean of its divisors is an integer number (2843508940272).

Almost surely, 2201012344452352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012344452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204732643699584).

201012344452352 is an abundant number, since it is smaller than the sum of its proper divisors (208452942946816).

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

201012344452352 is a wasteful number, since it uses less digits than its factorization.

201012344452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 201012344452352 its reverse (253254443210102), we get a palindrome (454266787662454).

The spelling of 201012344452352 in words is "two hundred one trillion, twelve billion, three hundred forty-four million, four hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1013 1696 2026 2131 3392 4052 4262 6784 6863 8104 8524 13568 13726 16208 17048 27452 32416 34096 53689 54904 64832 68192 107378 109808 112943 129664 136384 214756 219616 225886 259328 272768 363739 429512 439232 451772 545536 727478 859024 878464 903544 1454956 1718048 1756928 1807088 2158703 2909912 3436096 3614176 4317406 5819824 6872192 6952219 7228352 8634812 11639648 13744384 13904438 14456704 14625053 17269624 23279296 27808876 28913408 29250106 34539248 46558592 55617752 58500212 69078496 93117184 111235504 114411259 117000424 138156992 222471008 228822518 234000848 276313984 368467607 444942016 457645036 468001696 552627968 736935214 775127809 889884032 915290072 936003392 1473870428 1550255618 1779768064 1830580144 1872006784 2947740856 3100511236 3661160288 3744013568 5895481712 6201022472 7322320576 11790963424 12402044944 14644641152 14815178689 23581926848 24804089888 29289282304 29630357378 47163853696 49608179776 59260714756 94327707392 99216359552 118521429512 198432719104 237042859024 474085718048 785204470517 948171436096 1570408941034 1896342872192 3140817882068 3792685744384 6281635764136 12563271528272 25126543056544 50253086113088 100506172226176 201012344452352