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10110331000 = 2353711131303
BaseRepresentation
bin10010110101001111…
…10110100001111000
3222002121101000210201
421122213312201320
5131201221043000
64351123251544
7505354252450
oct113247664170
928077330721
1010110331000
114319022360
121b61b19bb4
13c5180a3a3
146bca82d60
153e290396a
hex25a9f6878

10110331000 has 128 divisors (see below), whose sum is σ = 29496130560. Its totient is φ = 3151248000.

The previous prime is 10110330983. The next prime is 10110331027. The reversal of 10110331000 is 13301101.

It is a super-2 number, since 2×101103310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 11349 + ... + 142651.

It is an arithmetic number, because the mean of its divisors is an integer number (230438520).

Almost surely, 210110331000 is an apocalyptic number.

10110331000 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 10110331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748065280).

10110331000 is an abundant number, since it is smaller than the sum of its proper divisors (19385799560).

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

10110331000 is a wasteful number, since it uses less digits than its factorization.

10110331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131342 (or 131328 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10110331000 its reverse (13301101), we get a palindrome (10123632101).

The spelling of 10110331000 in words is "ten billion, one hundred ten million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 131303 262606 525212 656515 919121 1050424 1313030 1444333 1838242 2626060 2888666 3282575 3676484 4595605 5252120 5777332 6565150 7221665 7352968 9191210 10110331 11554664 13130300 14443330 16412875 18382420 20220662 22978025 26260600 28886660 32825750 36108325 36764840 40441324 45956050 50551655 57773320 65651500 72216650 80882648 91912100 101103310 114890125 131303000 144433300 180541625 183824200 202206620 229780250 252758275 288866600 361083250 404413240 459560500 505516550 722166500 919121000 1011033100 1263791375 1444333000 2022066200 2527582750 5055165500 10110331000