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10230011000 = 2353112932069
BaseRepresentation
bin10011000011100000…
…11001010001111000
3222101221120101220022
421201300121101320
5131422340323000
64411040350012
7511336441646
oct114160312170
928357511808
1010230011000
11437a635750
121b96015308
13c70551761
146d0918196
153ed194585
hex261c19478

10230011000 has 128 divisors (see below), whose sum is σ = 27015768000. Its totient is φ = 3591616000.

The previous prime is 10230010961. The next prime is 10230011009. The reversal of 10230011000 is 11003201.

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 (10230011009) 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, 302966 + ... + 335034.

Almost surely, 210230011000 is an apocalyptic number.

10230011000 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 10230011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507884000).

10230011000 is an abundant number, since it is smaller than the sum of its proper divisors (16785757000).

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

10230011000 is a wasteful number, since it uses less digits than its factorization.

10230011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32130 (or 32116 counting only the distinct ones).

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

Adding to 10230011000 its reverse (11003201), we get a palindrome (10241014201).

The spelling of 10230011000 in words is "ten billion, two hundred thirty million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 32069 39875 63800 64138 79750 128276 159500 160345 256552 319000 320690 352759 641380 705518 801725 930001 1282760 1411036 1603450 1763795 1860002 2822072 3206900 3527590 3720004 4008625 4650005 6413800 7055180 7440008 8017250 8818975 9300010 10230011 14110360 16034500 17637950 18600020 20460022 23250025 32069000 35275900 37200040 40920044 44094875 46500050 51150055 70551800 81840088 88189750 93000100 102300110 116250125 176379500 186000200 204600220 232500250 255750275 352759000 409200440 465000500 511500550 930001000 1023001100 1278751375 2046002200 2557502750 5115005500 10230011000