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220123021001120 = 25510931258708949
BaseRepresentation
bin110010000011001101100010…
…011110010100000110100000
31001212101112222210210221011222
4302003031202132110012200
5212322443421334013440
62100055041514354212
764236235443523316
oct6203154236240640
91055345883727158
10220123021001120
116415771583a346
122083139642b968
1395a96865b54b3
143c500224da0b6
151a6ad8921c2b5
hexc833627941a0

220123021001120 has 48 divisors (see below), whose sum is σ = 520516429511400. Its totient is φ = 87968650957824.

The previous prime is 220123021001077. The next prime is 220123021001141. The reversal of 220123021001120 is 21100120321022.

It can be written as a sum of positive squares in 4 ways, for example, as 214017120696976 + 6105900304144 = 14629324^2 + 2471012^2 .

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 7 ways as a sum of consecutive naturals, for example, 629179595 + ... + 629529354.

Almost surely, 2220123021001120 is an apocalyptic number.

220123021001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220123021001120 is an abundant number, since it is smaller than the sum of its proper divisors (300393408510280).

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

220123021001120 is a wasteful number, since it uses less digits than its factorization.

220123021001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258710057 (or 1258710049 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 220123021001120 its reverse (21100120321022), we get a palindrome (241223141322142).

The spelling of 220123021001120 in words is "two hundred twenty trillion, one hundred twenty-three billion, twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1093 2186 4372 5465 8744 10930 17488 21860 34976 43720 87440 174880 1258708949 2517417898 5034835796 6293544745 10069671592 12587089490 20139343184 25174178980 40278686368 50348357960 100696715920 201393431840 1375768881257 2751537762514 5503075525028 6878844406285 11006151050056 13757688812570 22012302100112 27515377625140 44024604200224 55030755250280 110061510500560 220123021001120