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42322030120120 = 23519473797312043
BaseRepresentation
bin10011001111101110111011…
…00100100100110010111000
312112211221120001020221112111
421213313131210210302320
521021401004202320440
6230002250000222104
711625444234311542
oct1147673544446270
9175757501227474
1042322030120120
11125377437404a3
1248b636230a934
131a7cc47ac726a
14a6457bc4c692
154d5d5e4864ea
hex267ddd924cb8

42322030120120 has 128 divisors (see below), whose sum is σ = 102396364876800. Its totient is φ = 15692407451136.

The previous prime is 42322030120109. The next prime is 42322030120127. The reversal of 42322030120120 is 2102103022324.

It is a junction number, because it is equal to n+sod(n) for n = 42322030120091 and 42322030120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322030120127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135472819 + ... + 135784861.

It is an arithmetic number, because the mean of its divisors is an integer number (799971600600).

Almost surely, 242322030120120 is an apocalyptic number.

42322030120120 is a gapful number since it is divisible by the number (40) 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 42322030120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51198182438400).

42322030120120 is an abundant number, since it is smaller than the sum of its proper divisors (60074334756680).

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

42322030120120 is a wasteful number, since it uses less digits than its factorization.

42322030120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315917 (or 315913 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42322030120120 its reverse (2102103022324), we get a palindrome (44424133142444).

The spelling of 42322030120120 in words is "forty-two trillion, three hundred twenty-two billion, thirty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 47 76 94 95 152 188 190 235 376 380 470 760 893 940 1786 1880 3572 3797 4465 7144 7594 8930 15188 17860 18985 30376 35720 37970 72143 75940 144286 151880 178459 288572 312043 356918 360715 577144 624086 713836 721430 892295 1248172 1427672 1442860 1560215 1784590 2496344 2885720 3120430 3390721 3569180 5928817 6240860 6781442 7138360 11857634 12481720 13562884 14666021 16953605 23715268 27125768 29332042 29644085 33907210 47430536 58664084 59288170 67814420 73330105 117328168 118576340 135628840 146660210 237152680 278654399 293320420 557308798 586640840 1114617596 1184827271 1393271995 2229235192 2369654542 2786543990 4739309084 5573087980 5924136355 9478618168 11146175960 11848272710 22511718149 23696545420 45023436298 47393090840 55686881737 90046872596 111373763474 112558590745 180093745192 222747526948 225117181490 278434408685 445495053896 450234362980 556868817370 900468725960 1058050753003 1113737634740 2116101506006 2227475269480 4232203012012 5290253765015 8464406024024 10580507530030 21161015060060 42322030120120