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101431220420 = 22548719315393
BaseRepresentation
bin101111001110111000…
…1011001100011000100
3100200210220201212120102
41132131301121203010
53130212343023140
6114332531023232
710220363101535
oct1363561314304
9320726655512
10101431220420
113a0203091a2
12177a913ab18
13974619c82a
144ca317c68c
152989be9e15
hex179dc598c4

101431220420 has 48 divisors (see below), whose sum is σ = 213593079168. Its totient is φ = 40460705280.

The previous prime is 101431220411. The next prime is 101431220437. The reversal of 101431220420 is 24022134101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101431220392 and 101431220401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18805244 + ... + 18810636.

It is an arithmetic number, because the mean of its divisors is an integer number (4449855816).

Almost surely, 2101431220420 is an apocalyptic number.

101431220420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101431220420 is an abundant number, since it is smaller than the sum of its proper divisors (112161858748).

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

101431220420 is a wasteful number, since it uses less digits than its factorization.

101431220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101431220420 its reverse (24022134101), we get a palindrome (125453354521).

The spelling of 101431220420 in words is "one hundred one billion, four hundred thirty-one million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 487 974 1931 1948 2435 3862 4870 5393 7724 9655 9740 10786 19310 21572 26965 38620 53930 107860 940397 1880794 2626391 3761588 4701985 5252782 9403970 10413883 10505564 13131955 18807940 20827766 26263910 41655532 52069415 52527820 104138830 208277660 5071561021 10143122042 20286244084 25357805105 50715610210 101431220420