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10321213000 = 23537330091
BaseRepresentation
bin10011001110011000…
…10011011001001000
3222122022011221112011
421213030103121020
5132114212304000
64424055225304
7513524602000
oct114714233110
928568157464
1010321213000
1144170680aa
122000678234
13c86404837
146dca99000
154061ac2ba
hex267313648

10321213000 has 128 divisors (see below), whose sum is σ = 28166112000. Its totient is φ = 3538584000.

The previous prime is 10321212973. The next prime is 10321213027. The reversal of 10321213000 is 31212301.

It is an interprime number because it is at equal distance from previous prime (10321212973) and next prime (10321213027).

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, 327955 + ... + 358045.

It is an arithmetic number, because the mean of its divisors is an integer number (220047750).

Almost surely, 210321213000 is an apocalyptic number.

10321213000 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 10321213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083056000).

10321213000 is an abundant number, since it is smaller than the sum of its proper divisors (17844899000).

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

10321213000 is an equidigital number, since it uses as much as digits as its factorization.

10321213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30133 (or 30105 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10321213000 its reverse (31212301), we get a palindrome (10352425301).

The spelling of 10321213000 in words is "ten billion, three hundred twenty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 343 350 392 490 500 686 700 875 980 1000 1225 1372 1400 1715 1750 1960 2450 2744 3430 3500 4900 6125 6860 7000 8575 9800 12250 13720 17150 24500 30091 34300 42875 49000 60182 68600 85750 120364 150455 171500 210637 240728 300910 343000 421274 601820 752275 842548 1053185 1203640 1474459 1504550 1685096 2106370 2948918 3009100 3761375 4212740 5265925 5897836 6018200 7372295 7522750 8425480 10321213 10531850 11795672 14744590 15045500 20642426 21063700 26329625 29489180 30091000 36861475 41284852 42127400 51606065 52659250 58978360 73722950 82569704 103212130 105318500 147445900 184307375 206424260 210637000 258030325 294891800 368614750 412848520 516060650 737229500 1032121300 1290151625 1474459000 2064242600 2580303250 5160606500 10321213000