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103010302313001 = 351959612101627
BaseRepresentation
bin10111011010111111110100…
…011110100100001000101001
3111111201200121002012112100000
4113122333310132210020221
5102000210044343004001
61003030140220333213
730461151214463316
oct2732776436441051
9444650532175300
10103010302313001
112a905473201116
12b6781059a4209
134562aa3190b35
141b61a22083d0d
15bd98036daa86
hex5daff47a4229

103010302313001 has 144 divisors (see below), whose sum is σ = 167931570643200. Its totient is φ = 62907355788480.

The previous prime is 103010302312979. The next prime is 103010302313047. The reversal of 103010302313001 is 100313203010301.

It is a happy number.

103010302313001 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 0 + 302 + 31 + 300 + 1 = 666.

It is not a de Polignac number, because 103010302313001 - 218 = 103010302050857 is a prime.

It is a super-3 number, since 3×1030103023130013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103010302313081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1013560750 + ... + 1013662376.

It is an arithmetic number, because the mean of its divisors is an integer number (1166191462800).

Almost surely, 2103010302313001 is an apocalyptic number.

It is an amenable number.

103010302313001 is a deficient number, since it is larger than the sum of its proper divisors (64921268330199).

103010302313001 is an equidigital number, since it uses as much as digits as its factorization.

103010302313001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101842 (or 101769 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103010302313001 its reverse (100313203010301), we get a palindrome (203323505323302).

The spelling of 103010302313001 in words is "one hundred three trillion, ten billion, three hundred two million, three hundred thirteen thousand, one".

Divisors: 1 3 9 19 27 57 59 61 81 171 177 183 243 513 531 549 1121 1159 1539 1593 1647 3363 3477 3599 3721 4617 4779 4941 10089 10431 10797 11163 14337 14823 30267 31293 32391 33489 68381 70699 90801 93879 97173 100467 101627 205143 212097 219539 272403 281637 291519 301401 304881 615429 636291 658617 874557 904203 914643 1846287 1908873 1930913 1975851 2743929 4171241 5538861 5726619 5792739 5927553 5995993 6199247 8231787 12513723 16616583 17179857 17378217 17782659 17987979 18597741 24695361 37541169 52134651 53347977 53963937 55793223 112623507 113923867 117785693 156403953 161891811 167379669 337870521 341771601 353357079 365755573 378154067 469211859 485675433 502139007 1013611563 1025314803 1060071237 1097266719 1134462201 1457026299 1506417021 3075944409 3180213711 3291800157 3403386603 6949355887 7184927273 9227833227 9540641133 9875400471 10210159809 20848067661 21554781819 22311089953 27683499681 28621923399 29626201413 30630479427 62544202983 64664345457 66933269859 88878604239 91891438281 187632608949 193993036371 200799809577 423910709107 562897826847 581979109113 602399428731 1271732127321 1688693480541 1745937327339 1807198286193 3815196381963 5421594858579 11445589145889 34336767437667 103010302313001