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103120023120310 = 257131109712378287
BaseRepresentation
bin10111011100100110000000…
…010110001110100110110110
3111112010011210201021001100001
4113130212000112032212312
5102004004301404322220
61003152403514141514
730502114206115030
oct2734460026164666
9445104721231301
10103120023120310
112a947a57799669
12b69542712189a
13457023a896961
141b6707014cc50
15bdc5c603480a
hex5dc98058e9b6

103120023120310 has 128 divisors (see below), whose sum is σ = 214145597546496. Its totient is φ = 35021000401920.

The previous prime is 103120023120251. The next prime is 103120023120319. The reversal of 103120023120310 is 13021320021301.

It is a super-2 number, since 2×1031200231203102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103120023120319) 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 63 ways as a sum of consecutive naturals, for example, 12443584987 + ... + 12443593273.

It is an arithmetic number, because the mean of its divisors is an integer number (1673012480832).

Almost surely, 2103120023120310 is an apocalyptic number.

103120023120310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103120023120310 is an abundant number, since it is smaller than the sum of its proper divisors (111025574426186).

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

103120023120310 is a wasteful number, since it uses less digits than its factorization.

103120023120310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 103120023120310 its reverse (13021320021301), we get a palindrome (116141343141611).

The spelling of 103120023120310 in words is "one hundred three trillion, one hundred twenty billion, twenty-three million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 131 262 655 917 1097 1237 1310 1834 2194 2474 4585 5485 6185 7679 8287 8659 9170 10970 12370 15358 16574 17318 38395 41435 43295 58009 76790 82870 86590 116018 143707 162047 287414 290045 324094 580090 718535 810235 1005949 1085597 1134329 1356989 1437070 1620470 2011898 2171194 2268658 2713978 5029745 5427985 5671645 6784945 7599179 9090839 9498923 10059490 10251019 10855970 11343290 13569890 15198358 18181678 18997846 20502038 37995895 45454195 47494615 51255095 63635873 71757133 75991790 90908390 94989230 102510190 127271746 143514266 177765559 318179365 355531118 358785665 636358730 717571330 888827795 1190899909 1244358913 1342883489 1777655590 2381799818 2488717826 2685766978 5954499545 6221794565 6714417445 8336299363 9400184423 11245367843 11908999090 12443589130 13428834890 16672598726 18800368846 22490735686 41681496815 47000922115 56226839215 78717574901 83362993630 94001844230 112453678430 157435149802 393587874505 787175749010 1473143187433 2946286374866 7365715937165 10312002312031 14731431874330 20624004624062 51560011560155 103120023120310