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220101120231120 = 243252143631426067
BaseRepresentation
bin110010000010111001001001…
…000101100000011011010000
31001212022110110111122112200100
4302002321021011200123100
5212322114043234343440
62100041020405052400
764234531641202032
oct6202711105403320
91055273414575610
10220101120231120
11641493a7389727
12208290a39b7100
1395a75a61976ab
143c4cd459c9c52
151a6a506690230
hexc82e491606d0

220101120231120 has 120 divisors (see below), whose sum is σ = 739176895338336. Its totient is φ = 58693317099264.

The previous prime is 220101120231103. The next prime is 220101120231137. The reversal of 220101120231120 is 21132021101022.

220101120231120 is a `hidden beast` number, since 2 + 201 + 0 + 112 + 0 + 231 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (220101120231103) and next prime (220101120231137).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2201011202311203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220101120231093 and 220101120231102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153628327 + ... + 155054393.

Almost surely, 2220101120231120 is an apocalyptic number.

220101120231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101120231120 is an abundant number, since it is smaller than the sum of its proper divisors (519075775107216).

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

220101120231120 is a wasteful number, since it uses less digits than its factorization.

220101120231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640449 (or 1640440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 220101120231120 its reverse (21132021101022), we get a palindrome (241233141332142).

The spelling of 220101120231120 in words is "two hundred twenty trillion, one hundred one billion, one hundred twenty million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 214363 428726 643089 857452 1071815 1286178 1426067 1714904 1929267 2143630 2572356 2852134 3215445 3429808 3858534 4278201 4287260 5144712 5704268 6430890 7130335 7717068 8556402 8574520 9646335 10289424 11408536 12834603 12861780 14260670 15434136 17112804 17149040 19292670 21391005 22817072 25669206 25723560 28521340 30868272 34225608 38585340 42782010 51338412 51447120 57042680 64173015 68451216 77170680 85564020 102676824 114085360 128346030 154341360 171128040 205353648 256692060 342256080 513384120 1026768240 305696000321 611392000642 917088000963 1222784001284 1528480001605 1834176001926 2445568002568 2751264002889 3056960003210 3668352003852 4585440004815 4891136005136 5502528005778 6113920006420 7336704007704 9170880009630 11005056011556 12227840012840 13756320014445 14673408015408 18341760019260 22010112023112 24455680025680 27512640028890 36683520038520 44020224046224 55025280057780 73367040077040 110050560115560 220101120231120