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103412222214301 = 71121388871056793
BaseRepresentation
bin10111100000110110001000…
…110001010100000010011101
3111120011010000120101222210101
4113200312020301110002131
5102023301212341324201
61003534530302541101
730532200161332240
oct2740661061240235
9446133016358711
10103412222214301
112aa4a971541800
12b721b93b97791
1345919664b0240
141b7726d211257
15be4ec8923d01
hex5e0d88c5409d

103412222214301 has 48 divisors (see below), whose sum is σ = 139914926432512. Its totient is φ = 74373977399040.

The previous prime is 103412222214281. The next prime is 103412222214331.

103412222214301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103412222214301 - 217 = 103412222083229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103412222214301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103412222214331) 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, 97326361 + ... + 98383153.

Almost surely, 2103412222214301 is an apocalyptic number.

103412222214301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103412222214301 is a deficient number, since it is larger than the sum of its proper divisors (36502704218211).

103412222214301 is a wasteful number, since it uses less digits than its factorization.

103412222214301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065722 (or 1065711 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 103412222214301 in words is "one hundred three trillion, four hundred twelve billion, two hundred twenty-two million, two hundred fourteen thousand, three hundred one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 8887 11011 62209 97757 115531 684299 808717 1056793 1075327 1270841 7397551 7527289 8895887 11624723 13738309 13979251 81373061 96168163 97854757 127871953 151121399 895103671 1057849793 1662335389 9391719391 11636347723 65742035737 103308913301 122092352083 723162393107 854646464581 1136398046311 1343015872913 7954786324177 9401111110391 14773174602043 103412222214301