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120234002064 = 2431110111291997
BaseRepresentation
bin110111111111010000…
…0010100011010010000
3102111100022111010222120
41233332200110122100
53432214401031224
6131122411534240
711454340104111
oct1577640243220
9374308433876
10120234002064
1146a99a61360
121b37615a380
13b451818127
145b6845a208
1531da7c9779
hex1bfe814690

120234002064 has 160 divisors (see below), whose sum is σ = 342670746240. Its totient is φ = 36023808000.

The previous prime is 120234002017. The next prime is 120234002071. The reversal of 120234002064 is 460200432021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60206314 + ... + 60208310.

It is an arithmetic number, because the mean of its divisors is an integer number (2141692164).

Almost surely, 2120234002064 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 120234002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171335373120).

120234002064 is an abundant number, since it is smaller than the sum of its proper divisors (222436744176).

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

120234002064 is a wasteful number, since it uses less digits than its factorization.

120234002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3243 counting only the distinct ones).

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

Adding to 120234002064 its reverse (460200432021), we get a palindrome (580434434085).

The spelling of 120234002064 in words is "one hundred twenty billion, two hundred thirty-four million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1129 1212 1616 1997 2222 2258 2424 3333 3387 3994 4444 4516 4848 5991 6666 6774 7988 8888 9032 11982 12419 13332 13548 15976 17776 18064 21967 23964 24838 26664 27096 31952 37257 43934 47928 49676 53328 54192 65901 74514 87868 95856 99352 114029 131802 149028 175736 198704 201697 228058 263604 298056 342087 351472 403394 456116 527208 596112 605091 684174 806788 912232 1054416 1210182 1254319 1368348 1613576 1824464 2218667 2254613 2420364 2508638 2736696 3227152 3762957 4437334 4509226 4840728 5017276 5473392 6656001 6763839 7525914 8874668 9018452 9681456 10034552 13312002 13527678 15051828 17749336 18036904 20069104 24800743 26624004 27055356 30103656 35498672 36073808 49601486 53248008 54110712 60207312 74402229 99202972 106496016 108221424 148804458 198405944 227715913 297608916 396811888 455431826 595217832 683147739 910863652 1190435664 1366295478 1821727304 2504875043 2732590956 3643454608 5009750086 5465181912 7514625129 10019500172 10930363824 15029250258 20039000344 30058500516 40078000688 60117001032 120234002064