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10012020014424 = 23353181208120897
BaseRepresentation
bin1001000110110001101011…
…1001010111110101011000
31022110010202220000020210210
42101230122321113311120
52303014104110430144
633143243011411120
72052226121650161
oct221543271276530
938403686006723
1010012020014424
11321008a31583a
1211584912b3aa0
1357818b4a9bac
1426882767a768
15125680318ab9
hex91b1ae57d58

10012020014424 has 128 divisors (see below), whose sum is σ = 25656762156480. Its totient is φ = 3254560358400.

The previous prime is 10012020014417. The next prime is 10012020014461. The reversal of 10012020014424 is 42441002021001.

It is a self number, because there is not a number n which added to its sum of digits gives 10012020014424.

It is a congruent number.

It is an unprimeable number.

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, 479102344 + ... + 479123240.

Almost surely, 210012020014424 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 10012020014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828381078240).

10012020014424 is an abundant number, since it is smaller than the sum of its proper divisors (15644742142056).

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

10012020014424 is a wasteful number, since it uses less digits than its factorization.

10012020014424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23221 (or 23217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10012020014424 its reverse (42441002021001), we get a palindrome (52453022035425).

The spelling of 10012020014424 in words is "ten trillion, twelve billion, twenty million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 181 212 318 362 424 543 636 724 1086 1272 1448 2081 2172 4162 4344 6243 8324 9593 12486 16648 19186 20897 24972 28779 38372 41794 49944 57558 62691 76744 83588 110293 115116 125382 167176 220586 230232 250764 330879 376661 441172 501528 661758 753322 882344 1107541 1129983 1323516 1506644 2215082 2259966 2647032 3013288 3322623 3782357 4430164 4519932 6645246 7564714 8860328 9039864 11347071 13290492 15129428 19963033 22694142 26580984 30258856 39926066 43486657 45388284 59889099 79852132 86973314 90776568 119778198 130459971 159704264 173946628 200464921 239556396 260919942 347893256 400929842 479112792 521839884 601394763 801859684 1043679768 1202789526 1603719368 2304792821 2405579052 4609585642 4811158104 6914378463 7871084917 9219171284 13828756926 15742169834 18438342568 23613254751 27657513852 31484339668 47226509502 55315027704 62968679336 94453019004 188906038008 417167500601 834335001202 1251502501803 1668670002404 2503005003606 3337340004808 5006010007212 10012020014424