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103002321213 = 321123122713441
BaseRepresentation
bin101111111101101101…
…0101011000100111101
3100211212102001001200200
41133323122223010331
53141422043234323
6115152453114113
710304331166401
oct1377332530475
9324772031620
10103002321213
113a757141500
1217b67328939
13993682767c
144db1aad101
152a2cadb443
hex17fb6ab13d

103002321213 has 72 divisors (see below), whose sum is σ = 169567926528. Its totient is φ = 60141312000.

The previous prime is 103002321209. The next prime is 103002321283. The reversal of 103002321213 is 312123200301.

103002321213 is a `hidden beast` number, since 10 + 300 + 232 + 121 + 3 = 666.

It is not a de Polignac number, because 103002321213 - 22 = 103002321209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002321283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7656573 + ... + 7670013.

Almost surely, 2103002321213 is an apocalyptic number.

It is an amenable number.

103002321213 is a deficient number, since it is larger than the sum of its proper divisors (66565605315).

103002321213 is a wasteful number, since it uses less digits than its factorization.

103002321213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13727 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103002321213 its reverse (312123200301), we get a palindrome (415125521514).

The spelling of 103002321213 in words is "one hundred three billion, two million, three hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 11 31 33 93 99 121 227 279 341 363 681 1023 1089 2043 2497 3069 3751 7037 7491 11253 13441 21111 22473 27467 33759 40323 63333 77407 82401 120969 147851 232221 247203 416671 443553 696663 851477 1250013 1330659 1626361 2554431 3051107 3750039 4583381 4879083 7663293 9153321 13750143 14637249 27459963 33562177 41250429 50417191 94584317 100686531 151251573 283752951 302059593 369183947 453754719 851258853 1040427487 1107551841 3121282461 3322655523 9363847383 11444702357 34334107071 103002321213