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1200111202101 = 3721910719320807
BaseRepresentation
bin10001011101101100001…
…100111010111100110101
311020201200210221202120210
4101131230030322330311
5124130311431431401
62315153512020033
7152463605622300
oct21355414727465
94221623852523
101200111202101
11422a67539959
1217470a991619
1389229651276
144212b1d3b37
152133e8544d6
hex1176c33af35

1200111202101 has 96 divisors (see below), whose sum is σ = 1988019624960. Its totient is φ = 640246892544.

The previous prime is 1200111202079. The next prime is 1200111202123. The reversal of 1200111202101 is 1012021110021.

It is an interprime number because it is at equal distance from previous prime (1200111202079) and next prime (1200111202123).

It is not a de Polignac number, because 1200111202101 - 27 = 1200111201973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200111201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57667840 + ... + 57688646.

It is an arithmetic number, because the mean of its divisors is an integer number (20708537760).

Almost surely, 21200111202101 is an apocalyptic number.

It is an amenable number.

1200111202101 is a deficient number, since it is larger than the sum of its proper divisors (787908422859).

1200111202101 is a wasteful number, since it uses less digits than its factorization.

1200111202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21143 (or 21136 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1200111202101 its reverse (1012021110021), we get a palindrome (2212132312122).

The spelling of 1200111202101 in words is "one trillion, two hundred billion, one hundred eleven million, two hundred two thousand, one hundred one".

Divisors: 1 3 7 19 21 49 57 107 133 147 193 321 399 579 749 931 1351 2033 2247 2793 3667 4053 5243 6099 9457 11001 14231 15729 20651 20807 25669 28371 42693 61953 62421 77007 99617 144557 145649 179683 298851 392369 395333 433671 436947 539049 1011899 1019543 1177107 1185999 2226349 2746583 2767331 3035697 3058629 4015751 6679047 8239749 8301993 12047253 15584443 19226081 19371317 28110257 42300631 46753329 57678243 58113951 76299269 84330771 109091101 126901893 196771799 228897807 296104417 327273303 429685357 534094883 590315397 888313251 1289056071 1602284649 2072730919 3007797499 3738664181 6218192757 8164021783 9023392497 11215992543 21054582493 24492065349 57148152481 63163747479 171444457443 400037067367 1200111202101