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31142410020 = 22325503343963
BaseRepresentation
bin11101000000001110…
…110111011100100100
32222101100221100022100
4131000032313130210
51002234424110040
622150121532100
72151511055211
oct350016673444
988340840270
1031142410020
1112231095647
126051644030
132c23c74567
141716066b08
15c2408ab30
hex7403b7724

31142410020 has 72 divisors (see below), whose sum is σ = 94653389376. Its totient is φ = 8288108352.

The previous prime is 31142409989. The next prime is 31142410031. The reversal of 31142410020 is 2001424113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31142409975 and 31142410002.

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 23 ways as a sum of consecutive naturals, for example, 81442 + ... + 262521.

It is an arithmetic number, because the mean of its divisors is an integer number (1314630408).

Almost surely, 231142410020 is an apocalyptic number.

31142410020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31142410020 is an abundant number, since it is smaller than the sum of its proper divisors (63510979356).

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

31142410020 is a wasteful number, since it uses less digits than its factorization.

31142410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344481 (or 344476 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31142410020 its reverse (2001424113), we get a palindrome (33143834133).

The spelling of 31142410020 in words is "thirty-one billion, one hundred forty-two million, four hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 503 1006 1509 2012 2515 3018 4527 5030 6036 7545 9054 10060 15090 18108 22635 30180 45270 90540 343963 687926 1031889 1375852 1719815 2063778 3095667 3439630 4127556 5159445 6191334 6879260 10318890 12382668 15478335 20637780 30956670 61913340 173013389 346026778 519040167 692053556 865066945 1038080334 1557120501 1730133890 2076160668 2595200835 3114241002 3460267780 5190401670 6228482004 7785602505 10380803340 15571205010 31142410020