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212020220002000 = 2453673157518737
BaseRepresentation
bin110000001101010011001101…
…111001011111111011010000
31000210200221020200012200121211
4300031103031321133323100
5210242214402310031000
62030532424444225504
762441645462446264
oct6015231571377320
91023627220180554
10212020220002000
11616132a7920a03
121b942b3283b294
13913c561ac4997
143a4db94bd60a4
15197a1ec1d67ba
hexc0d4cde5fed0

212020220002000 has 80 divisors (see below), whose sum is σ = 513426655836432. Its totient is φ = 84682072473600.

The previous prime is 212020220001943. The next prime is 212020220002013. The reversal of 212020220002000 is 200022020212.

It can be written as a sum of positive squares in 8 ways, for example, as 84768554376256 + 127251665625744 = 9206984^2 + 11280588^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77413369 + ... + 80105368.

Almost surely, 2212020220002000 is an apocalyptic number.

212020220002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020220002000 is an abundant number, since it is smaller than the sum of its proper divisors (301406435834432).

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

212020220002000 is a wasteful number, since it uses less digits than its factorization.

212020220002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157519433 (or 157519417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 212020220002000 its reverse (200022020212), we get a palindrome (212220242022212).

The spelling of 212020220002000 in words is "two hundred twelve trillion, twenty billion, two hundred twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 673 1000 1346 2000 2692 3365 5384 6730 10768 13460 16825 26920 33650 53840 67300 84125 134600 168250 269200 336500 673000 1346000 157518737 315037474 630074948 787593685 1260149896 1575187370 2520299792 3150374740 3937968425 6300749480 7875936850 12601498960 15751873700 19689842125 31503747400 39379684250 63007494800 78759368500 106010110001 157518737000 212020220002 315037474000 424040440004 530050550005 848080880008 1060101100010 1696161760016 2120202200020 2650252750025 4240404400040 5300505500050 8480808800080 10601011000100 13251263750125 21202022000200 26502527500250 42404044000400 53005055000500 106010110001000 212020220002000