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100320310000 = 245497103423
BaseRepresentation
bin101110101101110001…
…1100111001011110000
3100120221111100202222001
41131123203213023300
53120423444410000
6114030404223344
710151013364621
oct1353343471360
9316844322861
10100320310000
1139600221809
121753909ab54
1395c9c9baa1
144bd97dda48
15292240b46a
hex175b8e72f0

100320310000 has 100 divisors (see below), whose sum is σ = 245391849472. Its totient is φ = 39714048000.

The previous prime is 100320309967. The next prime is 100320310001. The reversal of 100320310000 is 13023001.

100320310000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1003203100002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320310001) 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, 918289 + ... + 1021711.

Almost surely, 2100320310000 is an apocalyptic number.

100320310000 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 100320310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122695924736).

100320310000 is an abundant number, since it is smaller than the sum of its proper divisors (145071539472).

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

100320310000 is an equidigital number, since it uses as much as digits as its factorization.

100320310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103548 (or 103527 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100320310000 its reverse (13023001), we get a palindrome (100333333001).

The spelling of 100320310000 in words is "one hundred billion, three hundred twenty million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 625 776 970 1000 1250 1552 1940 2000 2425 2500 3880 4850 5000 7760 9700 10000 12125 19400 24250 38800 48500 60625 97000 103423 121250 194000 206846 242500 413692 485000 517115 827384 970000 1034230 1654768 2068460 2585575 4136920 5171150 8273840 10032031 10342300 12927875 20064062 20684600 25855750 40128124 41369200 50160155 51711500 64639375 80256248 100320310 103423000 129278750 160512496 200640620 206846000 250800775 258557500 401281240 501601550 517115000 802562480 1003203100 1034230000 1254003875 2006406200 2508007750 4012812400 5016015500 6270019375 10032031000 12540038750 20064062000 25080077500 50160155000 100320310000