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101400200442 = 232149269140549
BaseRepresentation
bin101111001101111101…
…1000100010011111010
3100200201202100220011100
41132123323010103322
53130131422403232
6114325502112230
710216535324352
oct1363373042372
9320652326140
10101400200442
113a004851452
121779a87b676
13973c92b508
144c9cdc5b62
15298711dc7c
hex179bec44fa

101400200442 has 48 divisors (see below), whose sum is σ = 221998725000. Its totient is φ = 33448175232.

The previous prime is 101400200423. The next prime is 101400200449. The reversal of 101400200442 is 244002004101.

101400200442 is a `hidden beast` number, since 10 + 14 + 0 + 0 + 200 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20733408081 + 80666792361 = 143991^2 + 284019^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101400200449) 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, 651184 + ... + 791732.

Almost surely, 2101400200442 is an apocalyptic number.

101400200442 is an abundant number, since it is smaller than the sum of its proper divisors (120598524558).

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

101400200442 is a wasteful number, since it uses less digits than its factorization.

101400200442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140975 (or 140972 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 101400200442 its reverse (244002004101), we get a palindrome (345402204543).

The spelling of 101400200442 in words is "one hundred one billion, four hundred million, two hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 149 269 298 447 538 807 894 1341 1614 2421 2682 4842 40081 80162 120243 140549 240486 281098 360729 421647 721458 843294 1264941 2529882 20941801 37807681 41883602 62825403 75615362 113423043 125650806 188476209 226846086 340269129 376952418 680538258 5633344469 11266688938 16900033407 33800066814 50700100221 101400200442