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120101122303020 = 223253735141513167
BaseRepresentation
bin11011010011101100111000…
…101110110110010000101100
3120202020112222201020021111200
4123103230320232312100230
5111220214044302144040
61103233405514445500
734204006525446135
oct3323547056662054
9522215881207450
10120101122303020
11352a4666568171
121157849aa33890
1352026445c8831
142192cd5196c8c
15dd418c17e630
hex6d3b38bb642c

120101122303020 has 144 divisors (see below), whose sum is σ = 374164242012288. Its totient is φ = 31160424798720.

The previous prime is 120101122302971. The next prime is 120101122303049. The reversal of 120101122303020 is 20303221101021.

120101122303020 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 112 + 230 + 302 + 0 = 666.

It is a super-2 number, since 2×1201011223030202 (a number of 29 digits) contains 22 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 = 120101122302984 and 120101122303002.

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, 233782477 + ... + 234295643.

It is an arithmetic number, because the mean of its divisors is an integer number (2598362791752).

Almost surely, 2120101122303020 is an apocalyptic number.

120101122303020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101122303020 is an abundant number, since it is smaller than the sum of its proper divisors (254063119709268).

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

120101122303020 is a wasteful number, since it uses less digits than its factorization.

120101122303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548360 (or 548355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120101122303020 its reverse (20303221101021), we get a palindrome (140404343404041).

The spelling of 120101122303020 in words is "one hundred twenty trillion, one hundred one billion, one hundred twenty-two million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 35141 70282 105423 140564 175705 210846 316269 351410 421692 513167 527115 632538 702820 1026334 1054230 1265076 1300217 1539501 1581345 2052668 2108460 2565835 2600434 3079002 3162690 3900651 4618503 5131670 5200868 6158004 6325380 6501085 7697505 7801302 9237006 10263340 11701953 13002170 15395010 15602604 18474012 18987179 19503255 23092515 23403906 26004340 30790020 37974358 39006510 46185030 46807812 56961537 58509765 75948716 78013020 92370060 94935895 113923074 117019530 170884611 189871790 227846148 234039060 284807685 341769222 379743580 569615370 683538444 854423055 1139230740 1708846110 3417692220 18033201547 36066403094 54099604641 72132806188 90166007735 108199209282 162298813923 180332015470 216398418564 270498023205 324597627846 360664030940 540996046410 649195255692 667228457239 811494069615 1081992092820 1334456914478 1622988139230 2001685371717 2668913828956 3245976278460 3336142286195 4003370743434 6005056115151 6672284572390 8006741486868 10008426858585 12010112230302 13344569144780 20016853717170 24020224460604 30025280575755 40033707434340 60050561151510 120101122303020