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2120102424 = 2334112831051
BaseRepresentation
bin111111001011110…
…0011001000011000
312110202100100210000
41332113203020120
513320221234144
6550213053000
7103352400426
oct17627431030
95422310700
102120102424
11998819370
124b2027160
1327a308a9b
14161800116
15c61d8769
hex7e5e3218

2120102424 has 160 divisors (see below), whose sum is σ = 6507167040. Its totient is φ = 639576000.

The previous prime is 2120102393. The next prime is 2120102443. The reversal of 2120102424 is 4242010212.

2120102424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120102397 and 2120102406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2016699 + ... + 2017749.

It is an arithmetic number, because the mean of its divisors is an integer number (40669794).

Almost surely, 22120102424 is an apocalyptic number.

2120102424 is a gapful number since it is divisible by the number (24) 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 2120102424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253583520).

2120102424 is an abundant number, since it is smaller than the sum of its proper divisors (4387064616).

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

2120102424 is a wasteful number, since it uses less digits than its factorization.

2120102424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2120102424 is about 46044.5699730164. The cubic root of 2120102424 is about 1284.6523456046.

Adding to 2120102424 its reverse (4242010212), we get a palindrome (6362112636).

The spelling of 2120102424 in words is "two billion, one hundred twenty million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 283 297 324 396 566 594 648 792 849 891 1051 1132 1188 1698 1782 2102 2264 2376 2547 3113 3153 3396 3564 4204 5094 6226 6306 6792 7128 7641 8408 9339 9459 10188 11561 12452 12612 15282 18678 18918 20376 22923 23122 24904 25224 28017 28377 30564 34683 37356 37836 45846 46244 56034 56754 61128 69366 74712 75672 84051 85131 91692 92488 104049 112068 113508 138732 168102 170262 183384 208098 224136 227016 252153 277464 297433 312147 336204 340524 416196 504306 594866 624294 672408 681048 832392 892299 936441 1008612 1189732 1248588 1784598 1872882 2017224 2379464 2497176 2676897 3271763 3569196 3745764 5353794 6543526 7138392 7491528 8030691 9815289 10707588 13087052 16061382 19630578 21415176 24092073 26174104 29445867 32122764 39261156 48184146 58891734 64245528 78522312 88337601 96368292 117783468 176675202 192736584 235566936 265012803 353350404 530025606 706700808 1060051212 2120102424