Search a number
-
+
151405122 = 23112347601
BaseRepresentation
bin10010000011001…
…00001001000010
3101112220011210010
421001210021002
5302224430442
623005045350
73515631231
oct1101441102
9345804703
10151405122
1178511a00
1242856856
13254a163b
1416172b18
15d45ab9c
hex9064242

151405122 has 48 divisors (see below), whose sum is σ = 334355616. Its totient is φ = 45672000.

The previous prime is 151405103. The next prime is 151405123. The reversal of 151405122 is 221504151.

It is not an unprimeable number, because it can be changed into a prime (151405123) 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, 251622 + ... + 252222.

It is an arithmetic number, because the mean of its divisors is an integer number (6965742).

Almost surely, 2151405122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151405122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167177808).

151405122 is an abundant number, since it is smaller than the sum of its proper divisors (182950494).

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

151405122 is a wasteful number, since it uses less digits than its factorization.

151405122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 151405122 is about 12304.6788661874. The cubic root of 151405122 is about 532.9832030911.

Adding to 151405122 its reverse (221504151), we get a palindrome (372909273).

The spelling of 151405122 in words is "one hundred fifty-one million, four hundred five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 347 363 601 694 726 1041 1202 1803 2082 3606 3817 6611 7634 11451 13222 19833 22902 39666 41987 72721 83974 125961 145442 208547 218163 251922 417094 436326 625641 1251282 2294017 4588034 6882051 13764102 25234187 50468374 75702561 151405122