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10145241362022 = 2313676131316637
BaseRepresentation
bin1001001110100001111110…
…0000011110111001100110
31022220212122022110220120220
42103220133200132321212
52312204423242041042
633324354243305210
72064653352505404
oct223503740367146
938825568426526
1010145241362022
113261633299008
12117a27097b206
135878cc885b60
142710648ca474
15128d7ad958ec
hex93a1f81ee66

10145241362022 has 64 divisors (see below), whose sum is σ = 22181115043584. Its totient is φ = 3074510229120.

The previous prime is 10145241362021. The next prime is 10145241362041. The reversal of 10145241362022 is 22026314254101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145241362021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31882288 + ... + 32198924.

It is an arithmetic number, because the mean of its divisors is an integer number (346579922556).

Almost surely, 210145241362022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145241362022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090557521792).

10145241362022 is an abundant number, since it is smaller than the sum of its proper divisors (12035873681562).

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

10145241362022 is a wasteful number, since it uses less digits than its factorization.

10145241362022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322853.

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 10145241362022 in words is "ten trillion, one hundred forty-five billion, two hundred forty-one million, three hundred sixty-two thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 871 1742 2613 5226 6131 12262 18393 36786 79703 159406 239109 316637 410777 478218 633274 821554 949911 1232331 1899822 2464662 4116281 5340101 8232562 10680202 12348843 16020303 21214679 24697686 32040606 42429358 63644037 127288074 275790827 551581654 827372481 1654744962 1941301447 3882602894 5823904341 11647808682 25236918811 50473837622 75710756433 130067196949 151421512866 260134393898 390201590847 780403181694 1690873560337 3381747120674 5072620681011 10145241362022