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10214132424 = 23310116572543
BaseRepresentation
bin10011000001100111…
…10100101011001000
3222100211200200120220
421200303310223020
5131404304214144
64405312150040
7511054456506
oct114063645310
928324620526
1010214132424
11437167a961
121b90838320
13c6a182252
146cc783676
153ebaa9919
hex260cf4ac8

10214132424 has 64 divisors (see below), whose sum is σ = 25813866240. Its totient is φ = 3367641600.

The previous prime is 10214132419. The next prime is 10214132473. The reversal of 10214132424 is 42423141201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10214132394 and 10214132403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4015297 + ... + 4017839.

It is an arithmetic number, because the mean of its divisors is an integer number (403341660).

Almost surely, 210214132424 is an apocalyptic number.

It is an amenable number.

10214132424 is an abundant number, since it is smaller than the sum of its proper divisors (15599733816).

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

10214132424 is a wasteful number, since it uses less digits than its factorization.

10214132424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10214132424 its reverse (42423141201), we get a palindrome (52637273625).

The spelling of 10214132424 in words is "ten billion, two hundred fourteen million, one hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 1657 2424 2543 3314 4971 5086 6628 7629 9942 10172 13256 15258 19884 20344 30516 39768 61032 167357 256843 334714 502071 513686 669428 770529 1004142 1027372 1338856 1541058 2008284 2054744 3082116 4016568 4213751 6164232 8427502 12641253 16855004 25282506 33710008 50565012 101130024 425588851 851177702 1276766553 1702355404 2553533106 3404710808 5107066212 10214132424