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201041100024 = 23341834994933
BaseRepresentation
bin1011101100111011111…
…0111011110011111000
3201012220220022001020120
42323032332323303320
511243213010200044
6232205040253240
720344662104022
oct2731676736370
9635826261216
10201041100024
1178296507046
1232b68311220
1315c5bc197ab
149a3248b012
155369a73519
hex2ecefbbcf8

201041100024 has 128 divisors (see below), whose sum is σ = 522214560000. Its totient is φ = 64449008640.

The previous prime is 201041099977. The next prime is 201041100031. The reversal of 201041100024 is 420001140102.

It is a junction number, because it is equal to n+sod(n) for n = 201041099976 and 201041100012.

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, 40751862 + ... + 40756794.

It is an arithmetic number, because the mean of its divisors is an integer number (4079801250).

Almost surely, 2201041100024 is an apocalyptic number.

201041100024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201041100024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261107280000).

201041100024 is an abundant number, since it is smaller than the sum of its proper divisors (321173459976).

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

201041100024 is a wasteful number, since it uses less digits than its factorization.

201041100024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201041100024 its reverse (420001140102), we get a palindrome (621042240126).

The spelling of 201041100024 in words is "two hundred one billion, forty-one million, one hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 83 123 164 166 246 249 328 332 492 498 499 664 984 996 998 1497 1992 1996 2994 3403 3992 4933 5988 6806 9866 10209 11976 13612 14799 19732 20418 20459 27224 29598 39464 40836 40918 41417 59196 61377 81672 81836 82834 118392 122754 124251 163672 165668 202253 245508 248502 331336 404506 409439 491016 497004 606759 809012 818878 994008 1213518 1228317 1618024 1637756 1698097 2427036 2456634 2461567 3275512 3396194 4854072 4913268 4923134 5094291 6792388 7384701 9826536 9846268 10188582 13584776 14769402 16786999 19692536 20377164 29538804 33573998 40754328 50360997 59077608 67147996 100721994 100924247 134295992 201443988 201848494 204310061 302772741 402887976 403696988 408620122 605545482 612930183 807393976 817240244 1211090964 1225860366 1634480488 2422181928 2451720732 4903441464 8376712501 16753425002 25130137503 33506850004 50260275006 67013700008 100520550012 201041100024