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10421004342 = 2372374012389
BaseRepresentation
bin10011011010010001…
…11110100000110110
3222220020221212111210
421231020332200312
5132320234114332
64442022142250
7516146034600
oct115510764066
928806855453
1010421004342
114468426891
122029b81986
13ca0ca4378
1470c034170
1540ed1eecc
hex26d23e836

10421004342 has 96 divisors (see below), whose sum is σ = 24972593760. Its totient is φ = 2888524800.

The previous prime is 10421004331. The next prime is 10421004343. The reversal of 10421004342 is 24340012401.

10421004342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421004343) 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 47 ways as a sum of consecutive naturals, for example, 4360884 + ... + 4363272.

It is an arithmetic number, because the mean of its divisors is an integer number (260131185).

Almost surely, 210421004342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10421004342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486296880).

10421004342 is an abundant number, since it is smaller than the sum of its proper divisors (14551589418).

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

10421004342 is a wasteful number, since it uses less digits than its factorization.

10421004342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10421004342 its reverse (24340012401), we get a palindrome (34761016743).

The spelling of 10421004342 in words is "ten billion, four hundred twenty-one million, four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 401 518 777 802 1203 1554 1813 2389 2406 2807 3626 4778 5439 5614 7167 8421 10878 14334 14837 16723 16842 19649 29674 33446 39298 44511 50169 58947 88393 89022 100338 103859 117061 117894 176786 207718 234122 265179 311577 351183 530358 618751 623154 702366 727013 957989 1237502 1454026 1856253 1915978 2181039 2873967 3712506 4331257 4362078 5747934 6705923 8662514 12993771 13411846 20117769 25987542 35445593 40235538 46941461 70891186 93882922 106336779 140824383 212673558 248119151 281648766 496238302 744357453 1488714906 1736834057 3473668114 5210502171 10421004342