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101424444 = 2231143107167
BaseRepresentation
bin1100000101110…
…01110100111100
321001211220011220
412002321310330
5201431040234
614021513340
72341044042
oct602716474
9231756156
10101424444
1152284760
1229b72850
1318021c84
14d682392
158d86a49
hex60b9d3c

101424444 has 96 divisors (see below), whose sum is σ = 268240896. Its totient is φ = 29561280.

The previous prime is 101424419. The next prime is 101424469. The reversal of 101424444 is 444424101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101424419) and next prime (101424469).

It is a congruent number.

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, 607249 + ... + 607415.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 2101424444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101424444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

101424444 is an abundant number, since it is smaller than the sum of its proper divisors (166816452).

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

101424444 is a wasteful number, since it uses less digits than its factorization.

101424444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 101424444 is about 10070.9703603973. The cubic root of 101424444 is about 466.3523954347.

Adding to 101424444 its reverse (444424101), we get a palindrome (545848545).

The spelling of 101424444 in words is "one hundred one million, four hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 107 129 132 167 172 214 258 321 334 428 473 501 516 642 668 946 1002 1177 1284 1419 1837 1892 2004 2354 2838 3531 3674 4601 4708 5511 5676 7062 7181 7348 9202 11022 13803 14124 14362 17869 18404 21543 22044 27606 28724 35738 43086 50611 53607 55212 71476 78991 86172 101222 107214 151833 157982 196559 202444 214428 236973 303666 315964 393118 473946 589677 607332 768367 786236 947892 1179354 1536734 2305101 2358708 3073468 4610202 8452037 9220404 16904074 25356111 33808148 50712222 101424444