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101030223040000 = 295419118713999
BaseRepresentation
bin10110111110001011101110…
…100011100100111000000000
3111020201101122221201110111121
4112332023232203210320000
5101220234344044240000
6554512351013522024
730165123052404442
oct2676135643447000
9436641587643447
10101030223040000
112a21174a065381
12b3b8401343314
13444b155a69bb7
141ad3c63162492
15ba306451ab1a
hex5be2ee8e4e00

101030223040000 has 400 divisors, whose sum is σ = 265767052320000. Its totient is φ = 38250150912000.

The previous prime is 101030223039937. The next prime is 101030223040009. The reversal of 101030223040000 is 40322030101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030223040009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7216953001 + ... + 7216966999.

It is an arithmetic number, because the mean of its divisors is an integer number (664417630800).

Almost surely, 2101030223040000 is an apocalyptic number.

101030223040000 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 101030223040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132883526160000).

101030223040000 is an abundant number, since it is smaller than the sum of its proper divisors (164736829280000).

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

101030223040000 is an equidigital number, since it uses as much as digits as its factorization.

101030223040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243 (or 15212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101030223040000 its reverse (40322030101), we get a palindrome (101070545070101).

The spelling of 101030223040000 in words is "one hundred one trillion, thirty billion, two hundred twenty-three million, forty thousand".