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10104451000 = 235372276359
BaseRepresentation
bin10010110100100010…
…11010111110111000
3222002012022021221221
421122101122332320
5131143214413000
64350353241424
7505253262550
oct113221327670
928065267857
1010104451000
114315776656
121b5bb63274
13c5052bbb7
146bbd92160
153e214161a
hex25a45afb8

10104451000 has 128 divisors (see below), whose sum is σ = 27145497600. Its totient is φ = 3448579200.

The previous prime is 10104450991. The next prime is 10104451037. The reversal of 10104451000 is 15440101.

It is a super-2 number, since 2×101044510002 (a number of 21 digits) contains 22 as substring.

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, 1585821 + ... + 1592179.

It is an arithmetic number, because the mean of its divisors is an integer number (212074200).

Almost surely, 210104451000 is an apocalyptic number.

10104451000 is a gapful number since it is divisible by the number (10) 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 10104451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572748800).

10104451000 is an abundant number, since it is smaller than the sum of its proper divisors (17041046600).

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

10104451000 is a wasteful number, since it uses less digits than its factorization.

10104451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10104451000 its reverse (15440101), we get a palindrome (10119891101).

The spelling of 10104451000 in words is "ten billion, one hundred four million, four hundred fifty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 227 250 280 350 454 500 700 875 908 1000 1135 1400 1589 1750 1816 2270 3178 3500 4540 5675 6356 6359 7000 7945 9080 11350 12712 12718 15890 22700 25436 28375 31780 31795 39725 44513 45400 50872 56750 63560 63590 79450 89026 113500 127180 158900 158975 178052 198625 222565 227000 254360 317800 317950 356104 397250 445130 635900 794500 794875 890260 1112825 1271800 1443493 1589000 1589750 1780520 2225650 2886986 3179500 4451300 5564125 5773972 6359000 7217465 8902600 10104451 11128250 11547944 14434930 20208902 22256500 28869860 36087325 40417804 44513000 50522255 57739720 72174650 80835608 101044510 144349300 180436625 202089020 252611275 288698600 360873250 404178040 505222550 721746500 1010445100 1263056375 1443493000 2020890200 2526112750 5052225500 10104451000