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10010231000 = 2353711130003
BaseRepresentation
bin10010101001010100…
…00000000011011000
3221211122000102102022
421110222000003120
5131000104343000
64333145554012
7503030362640
oct112452000330
927748012368
1010010231000
114277572790
121b344a5908
13c36b60213
146ad667520
153d8c2e585
hex254a800d8

10010231000 has 128 divisors (see below), whose sum is σ = 29204098560. Its totient is φ = 3120048000.

The previous prime is 10010230961. The next prime is 10010231009. The reversal of 10010231000 is 13201001.

It is a super-2 number, since 2×100102310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010231009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11999 + ... + 142001.

It is an arithmetic number, because the mean of its divisors is an integer number (228157020).

Almost surely, 210010231000 is an apocalyptic number.

10010231000 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 10010231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602049280).

10010231000 is an abundant number, since it is smaller than the sum of its proper divisors (19193867560).

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

10010231000 is a wasteful number, since it uses less digits than its factorization.

10010231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130042 (or 130028 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10010231000 its reverse (13201001), we get a palindrome (10023432001).

The spelling of 10010231000 in words is "ten billion, ten million, two 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 130003 260006 520012 650015 910021 1040024 1300030 1430033 1820042 2600060 2860066 3250075 3640084 4550105 5200120 5720132 6500150 7150165 7280168 9100210 10010231 11440264 13000300 14300330 16250375 18200420 20020462 22750525 26000600 28600660 32500750 35750825 36400840 40040924 45501050 50051155 57201320 65001500 71501650 80081848 91002100 100102310 113752625 130003000 143003300 178754125 182004200 200204620 227505250 250255775 286006600 357508250 400409240 455010500 500511550 715016500 910021000 1001023100 1251278875 1430033000 2002046200 2502557750 5005115500 10010231000