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123003130030040 = 23513719413379601
BaseRepresentation
bin11011111101111011100101…
…110111110010011111011000
3121010111222120121202022102002
4123331323211313302133120
5112110240402241430130
61113334505143500132
734623453141231251
oct3375734567623730
9533458517668362
10123003130030040
1136213375242877
12119669b7457648
1353831b756a450
142253551939b28
15e348d8a75b45
hex6fdee5df27d8

123003130030040 has 128 divisors (see below), whose sum is σ = 298536538809600. Its totient is φ = 45341830963200.

The previous prime is 123003130030007. The next prime is 123003130030073. The reversal of 123003130030040 is 40030031300321.

It is an interprime number because it is at equal distance from previous prime (123003130030007) and next prime (123003130030073).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123003130029994 and 123003130030021.

It is a congruent number.

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, 1545206240 + ... + 1545285840.

It is an arithmetic number, because the mean of its divisors is an integer number (2332316709450).

Almost surely, 2123003130030040 is an apocalyptic number.

123003130030040 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 123003130030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149268269404800).

123003130030040 is an abundant number, since it is smaller than the sum of its proper divisors (175533408779560).

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

123003130030040 is a wasteful number, since it uses less digits than its factorization.

123003130030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84477 (or 84473 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 123003130030040 its reverse (40030031300321), we get a palindrome (163033161330361).

The spelling of 123003130030040 in words is "one hundred twenty-three trillion, three billion, one hundred thirty million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 719 1438 2876 3595 4133 5752 7190 8266 9347 14380 16532 18694 20665 28760 33064 37388 41330 46735 53729 74776 79601 82660 93470 107458 159202 165320 186940 214916 268645 318404 373880 398005 429832 537290 636808 796010 1034813 1074580 1592020 2069626 2149160 2971627 3184040 4139252 5174065 5943254 8278504 10348130 11886508 14858135 20696260 23773016 29716270 38631151 41392520 57233119 59432540 77262302 114466238 118865080 154524604 193155755 228932476 286165595 309049208 328990933 386311510 457864952 572331190 657981866 744030547 772623020 1144662380 1315963732 1488061094 1545246040 1644954665 2289324760 2631927464 2976122188 3289909330 3720152735 4276882129 5952244376 6579818660 7440305470 8553764258 13159637320 14880610940 17107528516 21384410645 29761221880 34215057032 42768821290 85537642580 171075285160 236544480827 473088961654 946177923308 1182722404135 1892355846616 2365444808270 3075078250751 4730889616540 6150156501502 9461779233080 12300313003004 15375391253755 24600626006008 30750782507510 61501565015020 123003130030040