Search a number
-
+
10031201442 = 2322954135521
BaseRepresentation
bin10010101011110011…
…11111110010100010
3221220002110211110100
421111321333302202
5131020441421232
64335215243230
7503403543153
oct112571776242
927802424410
1010031201442
114288396129
121b3b519516
13c3b2c3272
146b236592a
153da9c2c7c
hex255e7fca2

10031201442 has 48 divisors (see below), whose sum is σ = 22525921080. Its totient is φ = 3222374400.

The previous prime is 10031201431. The next prime is 10031201447. The reversal of 10031201442 is 24410213001.

10031201442 is a `hidden beast` number, since 100 + 3 + 120 + 1 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9502155441 + 529046001 = 97479^2 + 23001^2 .

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 (10031201447) 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, 264642 + ... + 300162.

Almost surely, 210031201442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031201442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262960540).

10031201442 is an abundant number, since it is smaller than the sum of its proper divisors (12494719638).

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

10031201442 is a wasteful number, since it uses less digits than its factorization.

10031201442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36099 (or 36096 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10031201442 its reverse (24410213001), we get a palindrome (34441414443).

The spelling of 10031201442 in words is "ten billion, thirty-one million, two hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 541 1082 1623 3246 4869 9738 15689 31378 35521 47067 71042 94134 106563 141201 213126 282402 319689 639378 1030109 2060218 3090327 6180654 9270981 18541962 19216861 38433722 57650583 115301166 172951749 345903498 557288969 1114577938 1671866907 3343733814 5015600721 10031201442