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121102013100 = 2235210313728607
BaseRepresentation
bin111000011001000111…
…1100001001010101100
3102120120210210200021110
41300302033201022230
53441004103404400
6131344500232020
711515010061405
oct1606217411254
9376523720243
10121102013100
11473a4a24952
121b57899b610
13b55c5c1423
145c0b84a9ac
15323bad7e50
hex1c323e12ac

121102013100 has 144 divisors (see below), whose sum is σ = 356385189888. Its totient is φ = 31745794560.

The previous prime is 121102013099. The next prime is 121102013101. The reversal of 121102013100 is 1310201121.

It is an interprime number because it is at equal distance from previous prime (121102013099) and next prime (121102013101).

It is a super-2 number, since 2×1211020131002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121102013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4218997 + ... + 4247603.

It is an arithmetic number, because the mean of its divisors is an integer number (2474897152).

Almost surely, 2121102013100 is an apocalyptic number.

121102013100 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 121102013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178192594944).

121102013100 is an abundant number, since it is smaller than the sum of its proper divisors (235283176788).

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

121102013100 is a wasteful number, since it uses less digits than its factorization.

121102013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28864 (or 28857 counting only the distinct ones).

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

Adding to 121102013100 its reverse (1310201121), we get a palindrome (122412214221).

The spelling of 121102013100 in words is "one hundred twenty-one billion, one hundred two million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 137 150 206 274 300 309 411 412 515 548 618 685 822 1030 1236 1370 1545 1644 2055 2060 2575 2740 3090 3425 4110 5150 6180 6850 7725 8220 10275 10300 13700 14111 15450 20550 28222 28607 30900 41100 42333 56444 57214 70555 84666 85821 114428 141110 143035 169332 171642 211665 282220 286070 343284 352775 423330 429105 572140 705550 715175 846660 858210 1058325 1411100 1430350 1716420 2116650 2145525 2860700 2946521 3919159 4233300 4291050 5893042 7838318 8582100 8839563 11757477 11786084 14732605 15676636 17679126 19595795 23514954 29465210 35358252 39191590 44197815 47029908 58787385 58930420 73663025 78383180 88395630 97978975 117574770 147326050 176791260 195957950 220989075 235149540 293936925 294652100 391915900 403673377 441978150 587873850 807346754 883956300 1175747700 1211020131 1614693508 2018366885 2422040262 4036733770 4844080524 6055100655 8073467540 10091834425 12110201310 20183668850 24220402620 30275503275 40367337700 60551006550 121102013100