Search a number
-
+
120222303320100 = 223521740915762161
BaseRepresentation
bin11011010101011101101111…
…101011101111100000100100
3120202200010210000200202212110
4123111131233223233200210
5111224210234122220400
61103405210320321020
734215526515215052
oct3325355753574044
9522603700622773
10120222303320100
1135340aa1042963
1211597a7a173170
135210bb738bb77
142198b0d2cb1d2
15dd73d0b70e50
hex6d576faef824

120222303320100 has 144 divisors (see below), whose sum is σ = 368394654108096. Its totient is φ = 30166060032000.

The previous prime is 120222303320017. The next prime is 120222303320111. The reversal of 120222303320100 is 1023303222021.

It is a happy number.

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, 17983020 + ... + 23745180.

It is an arithmetic number, because the mean of its divisors is an integer number (2558296209084).

Almost surely, 2120222303320100 is an apocalyptic number.

120222303320100 is a gapful number since it is divisible by the number (10) 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 120222303320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184197327054048).

120222303320100 is an abundant number, since it is smaller than the sum of its proper divisors (248172350787996).

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

120222303320100 is a wasteful number, since it uses less digits than its factorization.

120222303320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766286 (or 5766279 counting only the distinct ones).

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

Adding to 120222303320100 its reverse (1023303222021), we get a palindrome (121245606542121).

The spelling of 120222303320100 in words is "one hundred twenty trillion, two hundred twenty-two billion, three hundred three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 4091 5100 8182 12273 16364 20455 24546 40910 49092 61365 69547 81820 102275 122730 139094 204550 208641 245460 278188 306825 347735 409100 417282 613650 695470 834564 1043205 1227300 1390940 1738675 2086410 3477350 4172820 5216025 5762161 6954700 10432050 11524322 17286483 20864100 23048644 28810805 34572966 57621610 69145932 86432415 97956737 115243220 144054025 172864830 195913474 288108050 293870211 345729660 391826948 432162075 489783685 576216100 587740422 864324150 979567370 1175480844 1469351055 1728648300 1959134740 2448918425 2938702110 4897836850 5877404220 7346755275 9795673700 14693510550 23573000651 29387021100 47146001302 70719001953 94292002604 117865003255 141438003906 235730006510 282876007812 353595009765 400741011067 471460013020 589325016275 707190019530 801482022134 1178650032550 1202223033201 1414380039060 1602964044268 1767975048825 2003705055335 2357300065100 2404446066402 3535950097650 4007410110670 4808892132804 6011115166005 7071900195300 8014820221340 10018525276675 12022230332010 20037050553350 24044460664020 30055575830025 40074101106700 60111151660050 120222303320100