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1013213144424 = 233131512142427
BaseRepresentation
bin11101011111010000011…
…01011010010101101000
310120212021120021201010110
432233220031122111220
5113100030031110144
62053244054014320
7133126236424665
oct16575015322550
93525246251113
101013213144424
11360779450968
1214444b0473a0
13747128776b0
143707b216a6c
151b55176c0b9
hexebe835a568

1013213144424 has 96 divisors (see below), whose sum is σ = 2746085902560. Its totient is φ = 309691094400.

The previous prime is 1013213144413. The next prime is 1013213144431. The reversal of 1013213144424 is 4244413123101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1013213144391 and 1013213144400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7042699 + ... + 7185125.

It is an arithmetic number, because the mean of its divisors is an integer number (28605061485).

Almost surely, 21013213144424 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 1013213144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373042951280).

1013213144424 is an abundant number, since it is smaller than the sum of its proper divisors (1732872758136).

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

1013213144424 is a wasteful number, since it uses less digits than its factorization.

1013213144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142751 (or 142596 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1013213144424 its reverse (4244413123101), we get a palindrome (5257626267525).

The spelling of 1013213144424 in words is "one trillion, thirteen billion, two hundred thirteen million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1812 1963 3624 3926 5889 7852 11778 15704 22801 23556 45602 47112 68403 91204 136806 142427 182408 273612 284854 296413 427281 547224 569708 592826 854562 889239 1139416 1185652 1709124 1778478 1851551 2371304 3418248 3556956 3703102 5554653 7113912 7406204 11109306 14812408 21506477 22218612 43012954 44437224 64519431 86025908 129038862 172051816 258077724 279584201 516155448 559168402 838752603 1118336804 1677505206 2236673608 3247478027 3355010412 6494956054 6710020824 9742434081 12989912108 19484868162 25979824216 38969736324 42217214351 77939472648 84434428702 126651643053 168868857404 253303286106 337737714808 506606572212 1013213144424