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10010011000 = 2353117911519
BaseRepresentation
bin10010101001010010…
…01010010101111000
3221211121121020122011
421110221022111320
5131000030323000
64333141135304
7503025455353
oct112451122570
927747536564
1010010011000
114277432470
121b343ba534
13c36ab4042
146ad60b29a
153d8bd92ba
hex254a4a578

10010011000 has 128 divisors (see below), whose sum is σ = 25878528000. Its totient is φ = 3593616000.

The previous prime is 10010010953. The next prime is 10010011003. The reversal of 10010011000 is 11001001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863241 + ... + 874759.

It is an arithmetic number, because the mean of its divisors is an integer number (202176000).

Almost surely, 210010011000 is an apocalyptic number.

10010011000 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 10010011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939264000).

10010011000 is an abundant number, since it is smaller than the sum of its proper divisors (15868517000).

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

10010011000 is a wasteful number, since it uses less digits than its factorization.

10010011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11630 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010011000 its reverse (11001001), we get a palindrome (10021012001).

Subtracting from 10010011000 its reverse (11001001), we obtain a palindrome (9999009999).

It can be divided in two parts, 1001001 and 1000, that added together give a palindrome (1002001).

The spelling of 10010011000 in words is "ten billion, ten million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 79 88 100 110 125 158 200 220 250 275 316 395 440 500 550 632 790 869 1000 1100 1375 1580 1738 1975 2200 2750 3160 3476 3950 4345 5500 6952 7900 8690 9875 11000 11519 15800 17380 19750 21725 23038 34760 39500 43450 46076 57595 79000 86900 92152 108625 115190 126709 173800 217250 230380 253418 287975 434500 460760 506836 575950 633545 869000 910001 1013672 1151900 1267090 1439875 1820002 2303800 2534180 2879750 3167725 3640004 4550005 5068360 5759500 6335450 7280008 9100010 10010011 11519000 12670900 15838625 18200020 20020022 22750025 25341800 31677250 36400040 40040044 45500050 50050055 63354500 80080088 91000100 100100110 113750125 126709000 182000200 200200220 227500250 250250275 400400440 455000500 500500550 910001000 1001001100 1251251375 2002002200 2502502750 5005005500 10010011000