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103104310221 = 32113149696761
BaseRepresentation
bin110000000000101111…
…1101110101111001101
3100212010111221122022100
41200001133232233031
53142124200411341
6115210535105313
710310010114423
oct1400137565715
9325114848270
10103104310221
113a7a9771340
1217b95512239
1399519b65b3
144dc145b113
152a36a353b6
hex18017eebcd

103104310221 has 48 divisors (see below), whose sum is σ = 167766842880. Its totient is φ = 60450624000.

The previous prime is 103104310181. The next prime is 103104310249. The reversal of 103104310221 is 122013401301.

103104310221 is a `hidden beast` number, since 1 + 0 + 3 + 10 + 431 + 0 + 221 = 666.

It is not a de Polignac number, because 103104310221 - 225 = 103070755789 is a prime.

It is a super-2 number, since 2×1031043102212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103104310194 and 103104310203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103104310291) 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, 15246481 + ... + 15253241.

It is an arithmetic number, because the mean of its divisors is an integer number (3495142560).

Almost surely, 2103104310221 is an apocalyptic number.

103104310221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103104310221 is a deficient number, since it is larger than the sum of its proper divisors (64662532659).

103104310221 is a wasteful number, since it uses less digits than its factorization.

103104310221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103104310221 its reverse (122013401301), we get a palindrome (225117711522).

The spelling of 103104310221 in words is "one hundred three billion, one hundred four million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 4969 6761 14907 20283 44721 54659 60849 74371 154039 163977 209591 223113 462117 491931 628773 669339 1386351 1694429 1886319 2305501 5083287 6916503 15249861 20749509 33595409 100786227 302358681 369549499 1041457679 1108648497 3124373037 3325945491 9373119111 11456034469 34368103407 103104310221