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1024210124201 = 11249919878537
BaseRepresentation
bin11101110011101111010…
…11100011110110101001
310121220122222001011101202
432321313223203312221
5113240040242433301
62102303213253545
7133665611261345
oct16716753436651
93556588034352
101024210124201
11365401a06600
121465b9a942b5
1375775c85414
143780193c625
151b996e1166b
hexee77ae3da9

1024210124201 has 24 divisors (see below), whose sum is σ = 1128740676000. Its totient is φ = 928657730880.

The previous prime is 1024210124141. The next prime is 1024210124207.

1024210124201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1024210124201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1024210124207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119968805 + ... + 119977341.

It is an arithmetic number, because the mean of its divisors is an integer number (47030861500).

Almost surely, 21024210124201 is an apocalyptic number.

1024210124201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1024210124201 is a deficient number, since it is larger than the sum of its proper divisors (104530551799).

1024210124201 is a wasteful number, since it uses less digits than its factorization.

1024210124201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11045 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1024210 and 124201, that added together give a palindrome (1148411).

The spelling of 1024210124201 in words is "one trillion, twenty-four billion, two hundred ten million, one hundred twenty-four thousand, two hundred one".

Divisors: 1 11 121 499 1987 5489 8537 21857 60379 93907 240427 991513 1032977 4259963 10906643 16963019 46859593 119973073 186593209 515455523 2052525299 8464546481 93110011291 1024210124201