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101231100000 = 25335537493
BaseRepresentation
bin101111001000111011…
…0000000000001100000
3100200021222011200222000
41132101312000001200
53124310130200000
6114301021444000
710212413103222
oct1362166000140
9320258150860
10101231100000
1139a28353818
1217752110600
1397138a2794
144c84768412
15297736a000
hex1791d80060

101231100000 has 288 divisors, whose sum is σ = 369057941280. Its totient is φ = 26994240000.

The previous prime is 101231099999. The next prime is 101231100001. The reversal of 101231100000 is 1132101.

It is an interprime number because it is at equal distance from previous prime (101231099999) and next prime (101231100001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681254 + ... + 2718746.

It is an arithmetic number, because the mean of its divisors is an integer number (1281451185).

Almost surely, 2101231100000 is an apocalyptic number.

101231100000 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 101231100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184528970640).

101231100000 is an abundant number, since it is smaller than the sum of its proper divisors (267826841280).

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

101231100000 is an frugal number, since it uses more digits than its factorization.

101231100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37537 (or 37503 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101231100000 its reverse (1132101), we get a palindrome (101232232101).

The spelling of 101231100000 in words is "one hundred one billion, two hundred thirty-one million, one hundred thousand".