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101043121440 = 2535210506503
BaseRepresentation
bin101111000011010100…
…0111010110100100000
3100122210212110101212010
41132012220322310200
53123414014341230
6114230224432520
710204641234612
oct1360650726440
9318725411763
10101043121440
1139941231738
12176bb178740
1396b3967171
144c677d4db2
152965ad79b0
hex1786a3ad20

101043121440 has 48 divisors (see below), whose sum is σ = 318285834048. Its totient is φ = 26944832256.

The previous prime is 101043121423. The next prime is 101043121453. The reversal of 101043121440 is 44121340101.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105252772 + ... + 105253731.

It is an arithmetic number, because the mean of its divisors is an integer number (6630954876).

Almost surely, 2101043121440 is an apocalyptic number.

101043121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101043121440 is an abundant number, since it is smaller than the sum of its proper divisors (217242712608).

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

101043121440 is a wasteful number, since it uses less digits than its factorization.

101043121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210506521 (or 210506513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101043121440 its reverse (44121340101), we get a palindrome (145164461541).

The spelling of 101043121440 in words is "one hundred one billion, forty-three million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 210506503 421013006 631519509 842026012 1052532515 1263039018 1684052024 2105065030 2526078036 3157597545 3368104048 4210130060 5052156072 6315195090 6736208096 8420260120 10104312144 12630390180 16840520240 20208624288 25260780360 33681040480 50521560720 101043121440