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10020021144 = 2337193309031
BaseRepresentation
bin10010101010011110…
…10110001110011000
3221212022102210222020
421111033112032120
5131010111134034
64334135454440
7503206526430
oct112517261630
927768383866
1010020021144
11428204a211
121b37827420
13c38baa3c3
146b0a952c0
153d9a15249
hex2553d6398

10020021144 has 64 divisors (see below), whose sum is σ = 28777059840. Its totient is φ = 2848020480.

The previous prime is 10020021107. The next prime is 10020021149. The reversal of 10020021144 is 44112002001.

10020021144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020021149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122092 + ... + 186939.

It is an arithmetic number, because the mean of its divisors is an integer number (449641560).

Almost surely, 210020021144 is an apocalyptic number.

10020021144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10020021144 is an abundant number, since it is smaller than the sum of its proper divisors (18757038696).

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

10020021144 is a wasteful number, since it uses less digits than its factorization.

10020021144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309240 (or 309236 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10020021144 its reverse (44112002001), we get a palindrome (54132023145).

The spelling of 10020021144 in words is "ten billion, twenty million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1544 2316 2702 4053 4632 5404 8106 10808 16212 32424 309031 618062 927093 1236124 1854186 2163217 2472248 3708372 4326434 6489651 7416744 8652868 12979302 17305736 25958604 51917208 59642983 119285966 178928949 238571932 357857898 417500881 477143864 715715796 835001762 1252502643 1431431592 1670003524 2505005286 3340007048 5010010572 10020021144