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120133022100 = 223527134400477
BaseRepresentation
bin110111111100001111…
…1000111000110010100
3102111002021110211111220
41233320133013012110
53432013023201400
6131104403330340
711452002560640
oct1577037070624
9374067424456
10120133022100
1146a47a60643
121b3483809b0
13b436920580
145b58c91c20
1531d19ce7a0
hex1bf87c7194

120133022100 has 144 divisors (see below), whose sum is σ = 427796869248. Its totient is φ = 25346741760.

The previous prime is 120133022099. The next prime is 120133022117. The reversal of 120133022100 is 1220331021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120133022100.

It is a congruent 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, 2172939 + ... + 2227538.

It is an arithmetic number, because the mean of its divisors is an integer number (2970811592).

Almost surely, 2120133022100 is an apocalyptic number.

120133022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120133022100 is an abundant number, since it is smaller than the sum of its proper divisors (307663847148).

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

120133022100 is a wasteful number, since it uses less digits than its factorization.

120133022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400514 (or 4400507 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120133022100 its reverse (1220331021), we get a palindrome (121353353121).

The spelling of 120133022100 in words is "one hundred twenty billion, one hundred thirty-three million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 4400477 8800954 13201431 17601908 22002385 26402862 30803339 44004770 52805724 57206201 61606678 66007155 88009540 92410017 110011925 114412402 123213356 132014310 154016695 171618603 184820034 220023850 228824804 264028620 286031005 308033390 330035775 343237206 369640068 400443407 440047700 462050085 572062010 616066780 660071550 686474412 770083475 800886814 858093015 924100170 1144124020 1201330221 1320143100 1430155025 1540166950 1601773628 1716186030 1848200340 2002217035 2310250425 2402660442 2860310050 3080333900 3432372060 4004434070 4290465075 4620500850 4805320884 5720620100 6006651105 8008868140 8580930150 9241001700 10011085175 12013302210 17161860300 20022170350 24026604420 30033255525 40044340700 60066511050 120133022100