Search a number
-
+
120042124332 = 223132281313673
BaseRepresentation
bin110111111001100010…
…0010111010000101100
3102110211221102202012220
41233303010113100230
53431321240434312
6131051355155340
711446520135604
oct1576304272054
9373757382186
10120042124332
1146a00716819
121b321a45b50
13b420b45b00
145b4ab8dc04
1531c8a26c8c
hex1bf311742c

120042124332 has 144 divisors (see below), whose sum is σ = 305807247648. Its totient is φ = 36632494080.

The previous prime is 120042124289. The next prime is 120042124403. The reversal of 120042124332 is 233421240021.

It is a happy number.

It is a super-2 number, since 2×1200421243322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178368348 + ... + 178369020.

It is an arithmetic number, because the mean of its divisors is an integer number (2123661442).

Almost surely, 2120042124332 is an apocalyptic number.

120042124332 is a gapful number since it is divisible by the number (12) 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 120042124332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152903623824).

120042124332 is an abundant number, since it is smaller than the sum of its proper divisors (185765123316).

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

120042124332 is a wasteful number, since it uses less digits than its factorization.

120042124332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120042124332 its reverse (233421240021), we get a palindrome (353463364353).

The spelling of 120042124332 in words is "one hundred twenty billion, forty-two million, one hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 281 313 338 507 562 626 673 676 843 939 1014 1124 1252 1346 1686 1878 2019 2028 2692 3372 3653 3756 4038 4069 7306 8076 8138 8749 10959 12207 14612 16276 17498 21918 24414 26247 34996 43836 47489 48828 52494 52897 87953 94978 104988 105794 113737 142467 158691 175906 189113 189956 210649 211588 227474 263859 284934 317382 341211 351812 378226 421298 454948 527718 567339 569868 631947 634764 682422 756452 842596 1055436 1134678 1143389 1263894 1364844 2269356 2286778 2458469 2527788 2738437 3430167 4573556 4916938 5476874 6860334 7375407 8215311 9833876 10953748 13720668 14750814 14864057 16430622 29501628 29728114 31960097 32861244 35599681 44592171 59192369 59456228 63920194 71199362 89184342 95880291 106799043 118384738 127840388 142398724 177577107 178368684 191760582 213598086 236769476 355154214 383521164 427196172 710308428 769500797 1539001594 2308502391 3078003188 4617004782 9234009564 10003510361 20007020722 30010531083 40014041444 60021062166 120042124332