Search a number
-
+
201320430154004 = 22747677211316637
BaseRepresentation
bin101101110001100110010000…
…101110011011000100010100
3222101211001012220220212102002
4231301212100232123010110
5202341413220104412004
61552101155010134432
760255630635404340
oct5561462056330424
9871731186825362
10201320430154004
1159168573455637
121a6b52b8881418
138844586bcc635
14379dd64668620
151841c1689d61e
hexb71990b9b114

201320430154004 has 96 divisors (see below), whose sum is σ = 417404309704704. Its totient is φ = 83172272641920.

The previous prime is 201320430153943. The next prime is 201320430154061. The reversal of 201320430154004 is 400451034023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635649974 + ... + 635966610.

It is an arithmetic number, because the mean of its divisors is an integer number (4347961559424).

Almost surely, 2201320430154004 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 201320430154004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208702154852352).

201320430154004 is an abundant number, since it is smaller than the sum of its proper divisors (216083879550700).

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

201320430154004 is a wasteful number, since it uses less digits than its factorization.

201320430154004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323973 (or 323971 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 201320430154004 its reverse (400451034023102), we get a palindrome (601771464177106).

The spelling of 201320430154004 in words is "two hundred one trillion, three hundred twenty billion, four hundred thirty million, one hundred fifty-four thousand, four".

Divisors: 1 2 4 7 14 28 47 67 94 134 188 268 329 469 658 938 1316 1876 3149 6298 7211 12596 14422 22043 28844 44086 50477 88172 100954 201908 316637 338917 483137 633274 677834 966274 1266548 1355668 1932548 2216459 2372419 3381959 4432918 4744838 6763918 8865836 9489676 13527836 14881939 21214679 22707439 29763878 42429358 45414878 59527756 84858716 90829756 104173573 148502753 158952073 208347146 297005506 317904146 416694292 594011012 635808292 997089913 1994179826 2283269407 3988359652 4566538814 6979629391 9133077628 13959258782 15982885849 27918517564 31965771698 63931543396 107313662129 152979050269 214627324258 305958100538 429254648516 611916201076 751195634903 1070853351883 1502391269806 2141706703766 3004782539612 4283413407532 7190015362643 14380030725286 28760061450572 50330107538501 100660215077002 201320430154004