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1000141204122 = 232449673183877
BaseRepresentation
bin11101000110111010000…
…11111010101010011010
310112121112120010100010100
432203131003322222122
5112341242122012442
62043243013000230
7132154300652604
oct16433503725232
93477476110110
101000141204122
113561806aa715
12141a01323076
137340b607c88
143659b0c2174
151b038d5984c
hexe8dd0faa9a

1000141204122 has 48 divisors (see below), whose sum is σ = 2175037698600. Its totient is φ = 332141838336.

The previous prime is 1000141204109. The next prime is 1000141204123. The reversal of 1000141204122 is 2214021410001.

It can be written as a sum of positive squares in 4 ways, for example, as 978775827561 + 21365376561 = 989331^2 + 146169^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1000141204095 and 1000141204104.

It is not an unprimeable number, because it can be changed into a prime (1000141204123) 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, 5347248 + ... + 5531124.

Almost surely, 21000141204122 is an apocalyptic number.

1000141204122 is an abundant number, since it is smaller than the sum of its proper divisors (1174896494478).

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

1000141204122 is a wasteful number, since it uses less digits than its factorization.

1000141204122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185007 (or 185004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1000141204122 its reverse (2214021410001), we get a palindrome (3214162614123).

The spelling of 1000141204122 in words is "one trillion, one hundred forty-one million, two hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 449 673 898 1346 1347 2019 2694 4038 4041 6057 8082 12114 183877 302177 367754 551631 604354 906531 1103262 1654893 1813062 2719593 3309786 5439186 82560773 123749221 165121546 247498442 247682319 371247663 495364638 742495326 743046957 1113742989 1486093914 2227485978 55563400229 111126800458 166690200687 333380401374 500070602061 1000141204122