Search a number
-
+
103020101122120 = 235713171664836799
BaseRepresentation
bin10111011011001000111100…
…100010000011100001001000
3111111202121212222101121110021
4113123020330202003201020
5102000340131341401440
61003034440415030224
730461646100131040
oct2733107442034110
9444677788347407
10103020101122120
112a90964139a476
12b679b9b50b374
1345639a5297c40
141b622b15d4720
15bd9bc8aa684a
hex5db23c883848

103020101122120 has 128 divisors (see below), whose sum is σ = 302067988992000. Its totient is φ = 30686271860736.

The previous prime is 103020101122067. The next prime is 103020101122121. The reversal of 103020101122120 is 21221101020301.

It is a super-2 number, since 2×1030201011221202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103020101122094 and 103020101122103.

It is not an unprimeable number, because it can be changed into a prime (103020101122121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832356520 + ... + 832480279.

It is an arithmetic number, because the mean of its divisors is an integer number (2359906164000).

Almost surely, 2103020101122120 is an apocalyptic number.

103020101122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103020101122120 is an abundant number, since it is smaller than the sum of its proper divisors (199047887869880).

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

103020101122120 is a wasteful number, since it uses less digits than its factorization.

103020101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664836847 (or 1664836843 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 103020101122120 its reverse (21221101020301), we get a palindrome (124241202142421).

The spelling of 103020101122120 in words is "one hundred three trillion, twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 442 455 476 520 595 680 728 884 910 952 1105 1190 1547 1768 1820 2210 2380 3094 3640 4420 4760 6188 7735 8840 12376 15470 30940 61880 1664836799 3329673598 6659347196 8324183995 11653857593 13318694392 16648367990 21642878387 23307715186 28302225583 33296735980 43285756774 46615430372 56604451166 58269287965 66593471960 86571513548 93230860744 108214391935 113208902332 116538575930 141511127915 151500148709 173143027096 198115579081 216428783870 226417804664 233077151860 283022255830 303000297418 367928932579 396231158162 432857567740 466154303720 566044511660 606000594836 735857865158 757500743545 792462316324 865715135480 990577895405 1132089023320 1212001189672 1471715730316 1515001487090 1584924632648 1839644662895 1981155790810 2575502528053 2943431460632 3030002974180 3679289325790 3962311581620 5151005056106 6060005948360 7358578651580 7924623163240 10302010112212 12877512640265 14717157303160 20604020224424 25755025280530 51510050561060 103020101122120