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1120102002120 = 233553271649877
BaseRepresentation
bin10000010011001011010…
…010000010110111001000
310222002011211112021120210
4100103023102002313020
5121322432103031440
62214322345121120
7143632112632503
oct20231322026710
93862154467523
101120102002120
113a203a419792
121610bba891a0
1381818647a9a
143c2db14213a
151e20a669a80
hex104cb482dc8

1120102002120 has 128 divisors (see below), whose sum is σ = 3436346903040. Its totient is φ = 291976289280.

The previous prime is 1120102002073. The next prime is 1120102002157. The reversal of 1120102002120 is 212002010211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120102002096 and 1120102002105.

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, 1398622 + ... + 2048498.

It is an arithmetic number, because the mean of its divisors is an integer number (26846460180).

Almost surely, 21120102002120 is an apocalyptic number.

1120102002120 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 1120102002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718173451520).

1120102002120 is an abundant number, since it is smaller than the sum of its proper divisors (2316244900920).

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

1120102002120 is a wasteful number, since it uses less digits than its factorization.

1120102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650215 (or 650211 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1120102002120 its reverse (212002010211), we get a palindrome (1332104012331).

The spelling of 1120102002120 in words is "one trillion, one hundred twenty billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 271 318 424 530 542 636 795 813 1060 1084 1272 1355 1590 1626 2120 2168 2710 3180 3252 4065 5420 6360 6504 8130 10840 14363 16260 28726 32520 43089 57452 71815 86178 114904 143630 172356 215445 287260 344712 430890 574520 649877 861780 1299754 1723560 1949631 2599508 3249385 3899262 5199016 6498770 7798524 9748155 12997540 15597048 19496310 25995080 34443481 38992620 68886962 77985240 103330443 137773924 172217405 176116667 206660886 275547848 344434810 352233334 413321772 516652215 528350001 688869620 704466668 826643544 880583335 1033304430 1056700002 1377739240 1408933336 1761166670 2066608860 2113400004 2641750005 3522333340 4133217720 4226800008 5283500010 7044666680 9334183351 10567000020 18668366702 21134000040 28002550053 37336733404 46670916755 56005100106 74673466808 93341833510 112010200212 140012750265 186683667020 224020400424 280025500530 373367334040 560051001060 1120102002120