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103223101202013 = 3132718334548763
BaseRepresentation
bin10111011110000110000000…
…010001111001111001011101
3111112111000212101212010212210
4113132012000101321321131
5102012201402401431023
61003312012115151033
730512423450262462
oct2736060021717135
9445430771763783
10103223101202013
112a987742676041
12b6b13b38a5479
134579b86cc8b00
141b6c04bcdd669
15be010a5d8593
hex5de180479e5d

103223101202013 has 48 divisors (see below), whose sum is σ = 152952076859904. Its totient is φ = 61872686890560.

The previous prime is 103223101201951. The next prime is 103223101202029. The reversal of 103223101202013 is 310202101322301.

It is not a de Polignac number, because 103223101202013 - 232 = 103218806234717 is a prime.

It is a super-2 number, since 2×1032231012020132 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103223101102013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14286631 + ... + 20262132.

It is an arithmetic number, because the mean of its divisors is an integer number (3186501601248).

Almost surely, 2103223101202013 is an apocalyptic number.

103223101202013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103223101202013 is a deficient number, since it is larger than the sum of its proper divisors (49728975657891).

103223101202013 is a wasteful number, since it uses less digits than its factorization.

103223101202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34548946 (or 34548933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103223101202013 its reverse (310202101322301), we get a palindrome (413425202524314).

The spelling of 103223101202013 in words is "one hundred three trillion, two hundred twenty-three billion, one hundred one million, two hundred two thousand, thirteen".

Divisors: 1 3 13 39 71 83 169 213 249 507 923 1079 2769 3237 5893 11999 14027 17679 35997 42081 76609 229827 995917 2987751 34548763 103646289 449133919 1347401757 2452962173 2867547329 5838740947 7358886519 8602641987 17516222841 31888508249 37278115277 95665524747 111834345831 203595860359 414550607237 484615498601 610787581077 1243651821711 1453846495803 2646746184667 7940238554001 34407700400671 103223101202013