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151200114 = 231323271311
BaseRepresentation
bin10010000001100…
…10000101110010
3101112111202120020
421000302011302
5302201400424
623000424310
73514115442
oct1100620562
9345452506
10151200114
117839197a
1242778096
132542c230
141611c122
15d41a079
hex9032172

151200114 has 64 divisors (see below), whose sum is σ = 342171648. Its totient is φ = 44193600.

The previous prime is 151200107. The next prime is 151200143. The reversal of 151200114 is 411002151.

It is a happy number.

It is a super-2 number, since 2×1512001142 = 45722948947225992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151200093 and 151200102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486019 + ... + 486329.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2151200114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151200114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824).

151200114 is an abundant number, since it is smaller than the sum of its proper divisors (190971534).

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

151200114 is a wasteful number, since it uses less digits than its factorization.

151200114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 151200114 is about 12296.3455546760. The cubic root of 151200114 is about 532.7425349358.

Adding to 151200114 its reverse (411002151), we get a palindrome (562202265).

The spelling of 151200114 in words is "one hundred fifty-one million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 271 299 311 542 598 622 813 897 933 1626 1794 1866 3523 4043 6233 7046 7153 8086 10569 12129 12466 14306 18699 21138 21459 24258 37398 42918 81029 84281 92989 162058 168562 185978 243087 252843 278967 486174 505686 557934 1095653 1938463 2191306 3286959 3876926 5815389 6573918 11630778 25200019 50400038 75600057 151200114