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10213233000 = 233538341017
BaseRepresentation
bin10011000001100000…
…11001000101101000
3222100202222222210220
421200300121011220
5131404041424000
64405241010040
7511044022335
oct114060310550
928322888726
1010213233000
114371116133
121b90483920
13c69c28a49
146cc5cb98c
153eb97d1a0
hex260c19168

10213233000 has 128 divisors (see below), whose sum is σ = 32249992320. Its totient is φ = 2690649600.

The previous prime is 10213232993. The next prime is 10213233011. The reversal of 10213233000 is 33231201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 228492 + ... + 269508.

It is an arithmetic number, because the mean of its divisors is an integer number (251953065).

Almost surely, 210213233000 is an apocalyptic number.

10213233000 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 10213233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124996160).

10213233000 is an abundant number, since it is smaller than the sum of its proper divisors (22036759320).

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

10213233000 is a wasteful number, since it uses less digits than its factorization.

10213233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41124 (or 41110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10213233000 its reverse (33231201), we get a palindrome (10246464201).

The spelling of 10213233000 in words is "ten billion, two hundred thirteen million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 664 750 830 996 1000 1245 1500 1660 1992 2075 2490 3000 3320 4150 4980 6225 8300 9960 10375 12450 16600 20750 24900 31125 41017 41500 49800 62250 82034 83000 123051 124500 164068 205085 246102 249000 328136 410170 492204 615255 820340 984408 1025425 1230510 1640680 2050850 2461020 3076275 3404411 4101700 4922040 5127125 6152550 6808822 8203400 10213233 10254250 12305100 13617644 15381375 17022055 20426466 20508500 24610200 27235288 30762750 34044110 40852932 41017000 51066165 61525500 68088220 81705864 85110275 102132330 123051000 136176440 170220550 204264660 255330825 340441100 408529320 425551375 510661650 680882200 851102750 1021323300 1276654125 1702205500 2042646600 2553308250 3404411000 5106616500 10213233000