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150118277401 = 163223772
BaseRepresentation
bin1000101111001110111…
…1110010000100011001
3112100111000000121222001
42023303233302010121
54424420234334101
6152544031401001
713563033206221
oct2136357620431
9470430017861
10150118277401
1158734943774
1225116383161
1311204c222a1
1473a137d081
153d89194901
hex22f3bf2119

150118277401 has 9 divisors (see below), whose sum is σ = 151108469631. Its totient is φ = 149134539312.

The previous prime is 150118277389. The next prime is 150118277429. The reversal of 150118277401 is 104772811051.

The square root of 150118277401 is 387451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59382379225 + 90735898176 = 243685^2 + 301224^2 .

It is not a de Polignac number, because 150118277401 - 213 = 150118269209 is a prime.

It is a super-3 number, since 3×1501182774013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150118077401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63153325 + ... + 63155701.

It is an arithmetic number, because the mean of its divisors is an integer number (16789829959).

Almost surely, 2150118277401 is an apocalyptic number.

150118277401 is the 387451-st square number.

150118277401 is the 193726-th centered octagonal number.

It is an amenable number.

150118277401 is a deficient number, since it is larger than the sum of its proper divisors (990192230).

150118277401 is an frugal number, since it uses more digits than its factorization.

150118277401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 37.

The spelling of 150118277401 in words is "one hundred fifty billion, one hundred eighteen million, two hundred seventy-seven thousand, four hundred one".

Divisors: 1 163 2377 26569 387451 5650129 63154513 920971027 150118277401