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120011120130 = 235118315129017
BaseRepresentation
bin110111111000100111…
…0000101111000000010
3102110202210002120110010
41233301032011320002
53431240321321010
6131044330445350
711445662455416
oct1576116057002
9373683076403
10120011120130
114699516a910
121b313593856
13b4175aba25
145b469dcd46
1531c5e50620
hex1bf1385e02

120011120130 has 128 divisors (see below), whose sum is σ = 320113575936. Its totient is φ = 28551744000.

The previous prime is 120011120129. The next prime is 120011120191. The reversal of 120011120130 is 31021110021.

It is a super-3 number, since 3×1200111201303 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4121382 + ... + 4150398.

It is an arithmetic number, because the mean of its divisors is an integer number (2500887312).

Almost surely, 2120011120130 is an apocalyptic number.

120011120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056787968).

120011120130 is an abundant number, since it is smaller than the sum of its proper divisors (200102455806).

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

120011120130 is a wasteful number, since it uses less digits than its factorization.

120011120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120011120130 its reverse (31021110021), we get a palindrome (151032230151).

The spelling of 120011120130 in words is "one hundred twenty billion, eleven million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 151 165 166 249 302 330 415 453 498 755 830 906 913 1245 1510 1661 1826 2265 2490 2739 3322 4530 4565 4983 5478 8305 9130 9966 12533 13695 16610 24915 25066 27390 29017 37599 49830 58034 62665 75198 87051 125330 137863 145085 174102 187995 275726 290170 319187 375990 413589 435255 638374 689315 827178 870510 957561 1378630 1595935 1915122 2067945 2408411 3191870 4135890 4381567 4787805 4816822 7225233 8763134 9575610 12042055 13144701 14450466 21907835 24084110 26289402 26492521 36126165 43815670 48197237 52985042 65723505 72252330 79477563 96394474 131447010 132462605 144591711 158955126 240986185 264925210 289183422 363670061 397387815 481972370 722958555 727340122 794775630 1091010183 1445917110 1818350305 2182020366 3636700610 4000370671 5455050915 8000741342 10910101830 12001112013 20001853355 24002224026 40003706710 60005560065 120011120130