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20030124422304 = 253269549043133
BaseRepresentation
bin1001000110111101000000…
…11100110111010010100000
32121220212020210212201100100
410203132200130313102200
510111133143323003204
6110333413453022400
74135062104260653
oct443364034672240
977825223781310
1020030124422304
116422801063417
1222b5b80184a00
13b23aa93908a9
144d366b01389a
1524b06988aa39
hex1237a07374a0

20030124422304 has 36 divisors (see below), whose sum is σ = 56960666326746. Its totient is φ = 6676708140672.

The previous prime is 20030124422291. The next prime is 20030124422317. The reversal of 20030124422304 is 40322442103002.

20030124422304 is a `hidden beast` number, since 200 + 3 + 0 + 1 + 2 + 4 + 422 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20030124422291) and next prime (20030124422317).

It can be written as a sum of positive squares in only one way, i.e., 19513882172304 + 516242250000 = 4417452^2 + 718500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34774521279 + ... + 34774521854.

Almost surely, 220030124422304 is an apocalyptic number.

20030124422304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20030124422304 is an abundant number, since it is smaller than the sum of its proper divisors (36930541904442).

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

20030124422304 is a wasteful number, since it uses less digits than its factorization.

20030124422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69549043149 (or 69549043138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20030124422304 its reverse (40322442103002), we get a palindrome (60352566525306).

The spelling of 20030124422304 in words is "twenty trillion, thirty billion, one hundred twenty-four million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 69549043133 139098086266 208647129399 278196172532 417294258798 556392345064 625941388197 834588517596 1112784690128 1251882776394 1669177035192 2225569380256 2503765552788 3338354070384 5007531105576 6676708140768 10015062211152 20030124422304