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42022100000 = 2555420221
BaseRepresentation
bin100111001000101101…
…100101110000100000
311000110120222212020002
4213020231211300200
51142030124200000
631145451235132
73015226646036
oct471055456040
9130416885202
1042022100000
111690441a771
128189148aa8
133c68c96b3a
142068d7a556
15115e2b28d5
hex9c8b65c20

42022100000 has 72 divisors (see below), whose sum is σ = 103407389316. Its totient is φ = 16808800000.

The previous prime is 42022099993. The next prime is 42022100023. The reversal of 42022100000 is 122024.

It can be written as a sum of positive squares in 6 ways, for example, as 14078297104 + 27943802896 = 118652^2 + 167164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110111 + ... + 310110.

Almost surely, 242022100000 is an apocalyptic number.

42022100000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42022100000 is an abundant number, since it is smaller than the sum of its proper divisors (61385289316).

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

42022100000 is an frugal number, since it uses more digits than its factorization.

42022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420256 (or 420228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 42022100000 its reverse (122024), we get a palindrome (42022222024).

The spelling of 42022100000 in words is "forty-two billion, twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 420221 840442 1680884 2101105 3361768 4202210 6723536 8404420 10505525 13447072 16808840 21011050 33617680 42022100 52527625 67235360 84044200 105055250 168088400 210110500 262638125 336176800 420221000 525276250 840442000 1050552500 1313190625 1680884000 2101105000 2626381250 4202210000 5252762500 8404420000 10505525000 21011050000 42022100000