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103021210000 = 245467153763
BaseRepresentation
bin101111111110010001…
…0101110100110010000
3100211220201120201020101
41133330202232212100
53141441412210000
6115154410022144
710304650556632
oct1377442564620
9324821521211
10103021210000
113a766872975
1217b71717954
13993a70c077
144db43c8a52
152a2e5bce6a
hex17fc8ae990

103021210000 has 100 divisors (see below), whose sum is σ = 253149053872. Its totient is φ = 40593168000.

The previous prime is 103021209979. The next prime is 103021210003. The reversal of 103021210000 is 12120301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1030212100002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103021210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 593119 + ... + 746881.

Almost surely, 2103021210000 is an apocalyptic number.

103021210000 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 103021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126574526936).

103021210000 is an abundant number, since it is smaller than the sum of its proper divisors (150127843872).

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

103021210000 is an equidigital number, since it uses as much as digits as its factorization.

103021210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153858 (or 153837 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 103021210000 its reverse (12120301), we get a palindrome (103033330301).

The spelling of 103021210000 in words is "one hundred three billion, twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 625 670 1000 1072 1250 1340 1675 2000 2500 2680 3350 5000 5360 6700 8375 10000 13400 16750 26800 33500 41875 67000 83750 134000 153763 167500 307526 335000 615052 670000 768815 1230104 1537630 2460208 3075260 3844075 6150520 7688150 10302121 12301040 15376300 19220375 20604242 30752600 38440750 41208484 51510605 61505200 76881500 82416968 96101875 103021210 153763000 164833936 192203750 206042420 257553025 307526000 384407500 412084840 515106050 768815000 824169680 1030212100 1287765125 1537630000 2060424200 2575530250 4120848400 5151060500 6438825625 10302121000 12877651250 20604242000 25755302500 51510605000 103021210000