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120110133220 = 225711187341641
BaseRepresentation
bin110111111011100011…
…1110010111111100100
3102111000200101221212121
41233313013302333210
53431441143230340
6131102224555324
711451304200340
oct1576707627744
9374020357777
10120110133220
1146a36047910
121b340782b44
13b431c6825c
145b55c14620
1531ce9ac94a
hex1bf71f2fe4

120110133220 has 96 divisors (see below), whose sum is σ = 314645619456. Its totient is φ = 37416038400.

The previous prime is 120110133211. The next prime is 120110133277. The reversal of 120110133220 is 22331011021.

It is a super-2 number, since 2×1201101332202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120110133194 and 120110133203.

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, 2863600 + ... + 2905240.

It is an arithmetic number, because the mean of its divisors is an integer number (3277558536).

Almost surely, 2120110133220 is an apocalyptic number.

120110133220 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 120110133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157322809728).

120110133220 is an abundant number, since it is smaller than the sum of its proper divisors (194535486236).

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

120110133220 is a wasteful number, since it uses less digits than its factorization.

120110133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43541 (or 43539 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120110133220 its reverse (22331011021), we get a palindrome (142441144241).

It can be divided in two parts, 1201101 and 33220, that added together give a palindrome (1234321).

The spelling of 120110133220 in words is "one hundred twenty billion, one hundred ten million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1873 3746 7492 9365 13111 18730 20603 26222 37460 41206 41641 52444 65555 82412 83282 103015 131110 144221 166564 206030 208205 262220 288442 291487 412060 416410 458051 576884 582974 721105 832820 916102 1165948 1442210 1457435 1832204 2290255 2884420 2914870 3206357 4580510 5829740 6412714 9161020 12825428 16031785 32063570 64127140 77993593 155987186 311974372 389967965 545955151 779935930 857929523 1091910302 1559871860 1715859046 2183820604 2729775755 3431718092 4289647615 5459551510 6005506661 8579295230 10919103020 12011013322 17158590460 24022026644 30027533305 60055066610 120110133220