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4120123332 = 22313217127941
BaseRepresentation
bin1111010110010100…
…0001011111000100
3101122010201221200110
43311211001133010
531414222421312
61520500313020
7204046320243
oct36545013704
911563657613
104120123332
11182477a706
1296b9a2770
1350878c800
142b12a295a
15191aa243c
hexf59417c4

4120123332 has 144 divisors (see below), whose sum is σ = 11120965632. Its totient is φ = 1182504960.

The previous prime is 4120123307. The next prime is 4120123367. The reversal of 4120123332 is 2333210214.

4120123332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4120123299 and 4120123308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4377982 + ... + 4378922.

It is an arithmetic number, because the mean of its divisors is an integer number (77228928).

Almost surely, 24120123332 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 4120123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560482816).

4120123332 is an abundant number, since it is smaller than the sum of its proper divisors (7000842300).

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

4120123332 is a wasteful number, since it uses less digits than its factorization.

4120123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4120123332 is about 64188.1868570845. The cubic root of 4120123332 is about 1603.1349125447.

Adding to 4120123332 its reverse (2333210214), we get a palindrome (6453333546).

The spelling of 4120123332 in words is "four billion, one hundred twenty million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 127 156 169 204 221 254 338 381 442 507 508 663 676 762 884 941 1014 1326 1524 1651 1882 2028 2159 2652 2823 2873 3302 3764 4318 4953 5646 5746 6477 6604 8619 8636 9906 11292 11492 12233 12954 15997 17238 19812 21463 24466 25908 28067 31994 34476 36699 42926 47991 48932 56134 63988 64389 73398 84201 85852 95982 112268 119507 128778 146796 159029 168402 191964 207961 239014 257556 318058 336804 358521 364871 415922 477087 478028 623883 636116 717042 729742 831844 954174 1094613 1247766 1434084 1459484 1553591 1908348 2031619 2189226 2495532 2703493 3107182 4063238 4378452 4660773 5406986 6094857 6214364 8110479 8126476 9321546 10813972 12189714 16220958 18643092 20196683 24379428 26411047 32441916 40393366 52822094 60590049 79233141 80786732 105644188 121180098 158466282 242360196 316932564 343343611 686687222 1030030833 1373374444 2060061666 4120123332