Search a number
-
+
10123141413 = 3711109409983
BaseRepresentation
bin10010110110110001…
…01110000100100101
3222010111110212101110
421123120232010211
5131213011011123
64352302015233
7505601165550
oct113330560445
928114425343
1010123141413
114325281a80
121b66277519
13c54374208
146c0659697
153e3ad4493
hex25b62e125

10123141413 has 64 divisors (see below), whose sum is σ = 17041305600. Its totient is φ = 5192501760.

The previous prime is 10123141387. The next prime is 10123141439. The reversal of 10123141413 is 31414132101.

It is an interprime number because it is at equal distance from previous prime (10123141387) and next prime (10123141439).

It is not a de Polignac number, because 10123141413 - 25 = 10123141381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10123141413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123141513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10297720 + ... + 10298702.

It is an arithmetic number, because the mean of its divisors is an integer number (266270400).

Almost surely, 210123141413 is an apocalyptic number.

It is an amenable number.

10123141413 is a deficient number, since it is larger than the sum of its proper divisors (6918164187).

10123141413 is a wasteful number, since it uses less digits than its factorization.

10123141413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10123141413 its reverse (31414132101), we get a palindrome (41537273514).

The spelling of 10123141413 in words is "ten billion, one hundred twenty-three million, one hundred forty-one thousand, four hundred thirteen".

Divisors: 1 3 7 11 21 33 77 109 231 327 409 763 983 1199 1227 2289 2863 2949 3597 4499 6881 8393 8589 10813 13497 20643 25179 31493 32439 44581 75691 94479 107147 133743 227073 312067 321441 402047 490391 750029 936201 1178617 1206141 1471173 2250087 2814329 3432737 3535851 4422517 8250319 8442987 10298211 13267551 24750957 30957619 43823123 92872857 131469369 306761861 482054353 920285583 1446163059 3374380471 10123141413