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10212545000 = 23547431677
BaseRepresentation
bin10011000001011011…
…10001000111101000
3222100201201001001102
421200231301013220
5131403402420000
64405214140532
7511035125450
oct114055610750
928321631042
1010212545000
114370796239
121b901b1748
13c69a47848
146cc48cd60
153eb8943d5
hex260b711e8

10212545000 has 160 divisors (see below), whose sum is σ = 27450213120. Its totient is φ = 3488160000.

The previous prime is 10212544999. The next prime is 10212545017. The reversal of 10212545000 is 54521201.

It is a super-3 number, since 3×102125450003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15084662 + ... + 15085338.

It is an arithmetic number, because the mean of its divisors is an integer number (171563832).

Almost surely, 210212545000 is an apocalyptic number.

10212545000 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 10212545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725106560).

10212545000 is an abundant number, since it is smaller than the sum of its proper divisors (17237668120).

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

10212545000 is an equidigital number, since it uses as much as digits as its factorization.

10212545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10212545000 in words is "ten billion, two hundred twelve million, five hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 431 500 625 677 700 862 875 1000 1250 1354 1400 1724 1750 2155 2500 2708 3017 3385 3448 3500 4310 4375 4739 5000 5416 6034 6770 7000 8620 8750 9478 10775 12068 13540 15085 16925 17240 17500 18956 21550 23695 24136 27080 30170 33850 35000 37912 43100 47390 53875 60340 67700 75425 84625 86200 94780 107750 118475 120680 135400 150850 169250 189560 215500 236950 269375 291787 301700 338500 377125 423125 431000 473900 538750 583574 592375 603400 677000 754250 846250 947800 1077500 1167148 1184750 1458935 1508500 1692500 1885625 2042509 2155000 2334296 2369500 2917870 2961875 3017000 3385000 3771250 4085018 4739000 5835740 5923750 7294675 7542500 8170036 10212545 11671480 11847500 14589350 15085000 16340072 20425090 23695000 29178700 36473375 40850180 51062725 58357400 72946750 81700360 102125450 145893500 182366875 204250900 255313625 291787000 364733750 408501800 510627250 729467500 1021254500 1276568125 1458935000 2042509000 2553136250 5106272500 10212545000