[go: up one dir, main page]

Search a number
-
+
100981242 = 234623341
BaseRepresentation
bin1100000010011…
…01100111111010
321001000101020000
412001031213322
5201322344432
614004213430
72334216645
oct601154772
9231011200
10100981242
115200177a
122999a276
1317bc831b
14d5a8a5c
158cea57c
hex604d9fa

100981242 has 20 divisors (see below), whose sum is σ = 226273146. Its totient is φ = 33660360.

The previous prime is 100981189. The next prime is 100981249. The reversal of 100981242 is 242189001.

It can be written as a sum of positive squares in only one way, i.e., 71723961 + 29257281 = 8469^2 + 5409^2 .

It is a super-2 number, since 2×1009812422 = 20394422471725128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100981249) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 311509 + ... + 311832.

Almost surely, 2100981242 is an apocalyptic number.

100981242 is an abundant number, since it is smaller than the sum of its proper divisors (125291904).

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

100981242 is an equidigital number, since it uses as much as digits as its factorization.

100981242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623355 (or 623346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100981242 is about 10048.9423324049. The cubic root of 100981242 is about 465.6721185715.

The spelling of 100981242 in words is "one hundred million, nine hundred eighty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 623341 1246682 1870023 3740046 5610069 11220138 16830207 33660414 50490621 100981242