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2142102424 = 2372112321599
BaseRepresentation
bin111111110101101…
…1110001110011000
312112021202002002211
41333223132032120
513341334234144
6552320404504
7104040366400
oct17753361630
95467662084
102142102424
119aa185290
124b9476734
13281a3c637
141646c9800
15c80d2034
hex7fade398

2142102424 has 96 divisors (see below), whose sum is σ = 5318784000. Its totient is φ = 798262080.

The previous prime is 2142102421. The next prime is 2142102461. The reversal of 2142102424 is 4242012412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2142102395 and 2142102404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142102421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88377 + ... + 109975.

It is an arithmetic number, because the mean of its divisors is an integer number (55404000).

Almost surely, 22142102424 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 2142102424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659392000).

2142102424 is an abundant number, since it is smaller than the sum of its proper divisors (3176681576).

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

2142102424 is a wasteful number, since it uses less digits than its factorization.

2142102424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21653 (or 21642 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2142102424 is about 46282.8523753668. The cubic root of 2142102424 is about 1289.0806148641.

Adding to 2142102424 its reverse (4242012412), we get a palindrome (6384114836).

The spelling of 2142102424 in words is "two billion, one hundred forty-two million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 49 56 77 88 92 98 154 161 184 196 253 308 322 392 506 539 616 644 1012 1078 1127 1288 1771 2024 2156 2254 3542 4312 4508 7084 9016 12397 14168 21599 24794 43198 49588 86396 99176 151193 172792 237589 302386 475178 496777 604772 950356 993554 1058351 1209544 1663123 1900712 1987108 2116702 3326246 3477439 3974216 4233404 5464547 6652492 6954878 8466808 10929094 11641861 13304984 13909756 21858188 23283722 24342073 27819512 38251829 43716376 46567444 48684146 76503658 93134888 97368292 153007316 194736584 267762803 306014632 535525606 1071051212 2142102424