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10024220140 = 225113111511277
BaseRepresentation
bin10010101010111110…
…10111010111101100
3221212121100010220121
421111133113113230
5131012200021030
64334405454324
7503260315414
oct112537272754
927777303817
1010024220140
114284457a60
121b391113a4
13c39a1a70c
146b1469644
153da09447a
hex2557d75ec

10024220140 has 96 divisors (see below), whose sum is σ = 23744544768. Its totient is φ = 3521760000.

The previous prime is 10024220131. The next prime is 10024220147. The reversal of 10024220140 is 4102242001.

It is not an unprimeable number, because it can be changed into a prime (10024220147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7849182 + ... + 7850458.

It is an arithmetic number, because the mean of its divisors is an integer number (247339008).

Almost surely, 210024220140 is an apocalyptic number.

10024220140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872272384).

10024220140 is an abundant number, since it is smaller than the sum of its proper divisors (13720324628).

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

10024220140 is a wasteful number, since it uses less digits than its factorization.

10024220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10024220140 its reverse (4102242001), we get a palindrome (14126462141).

The spelling of 10024220140 in words is "ten billion, twenty-four million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1151 1277 1364 1705 2302 2554 3410 4604 5108 5755 6385 6820 11510 12661 12770 14047 23020 25322 25540 28094 35681 39587 50644 56188 63305 70235 71362 79174 126610 140470 142724 158348 178405 197935 253220 280940 356810 392491 395870 435457 713620 784982 791740 870914 1469827 1569964 1741828 1962455 2177285 2939654 3924910 4354570 5879308 7349135 7849820 8709140 14698270 16168097 29396540 32336194 45564637 64672388 80840485 91129274 161680970 182258548 227823185 323361940 455646370 501211007 911292740 1002422014 2004844028 2506055035 5012110070 10024220140