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10230114414 = 231329127149239
BaseRepresentation
bin10011000011100001…
…10010100001101110
3222101221202122202110
421201300302201232
5131422402130124
64411042504450
7511340352312
oct114160624156
928357678673
1010230114414
11437a6a6413
121b96065126
13c70589850
146d0943b42
153ed1b5029
hex261c3286e

10230114414 has 128 divisors (see below), whose sum is σ = 23224320000. Its totient is φ = 2982486528.

The previous prime is 10230114413. The next prime is 10230114437. The reversal of 10230114414 is 41441103201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230114413) 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, 42803707 + ... + 42803945.

It is an arithmetic number, because the mean of its divisors is an integer number (181440000).

Almost surely, 210230114414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230114414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160000).

10230114414 is an abundant number, since it is smaller than the sum of its proper divisors (12994205586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10230114414 is a wasteful number, since it uses less digits than its factorization.

10230114414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10230114414 its reverse (41441103201), we get a palindrome (51671217615).

The spelling of 10230114414 in words is "ten billion, two hundred thirty million, one hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 127 149 174 239 254 298 377 381 447 478 717 754 762 894 1131 1434 1651 1937 2262 3107 3302 3683 3874 4321 4953 5811 6214 6931 7366 8642 9321 9906 11049 11622 12963 13862 18642 18923 20793 22098 25926 30353 35611 37846 41586 47879 56173 56769 60706 71222 90103 91059 95758 106833 112346 113538 143637 168519 180206 182118 213666 245999 270309 287274 337038 394589 462943 491998 540618 548767 737997 789178 880237 925886 1032719 1097534 1183767 1388829 1475994 1646301 1760474 2065438 2367534 2640711 2777658 3098157 3292602 4522597 5281422 6196314 7133971 9045194 11443081 13425347 13567791 14267942 21401913 22886162 26850694 27135582 34329243 40276041 42803826 58793761 68658486 80552082 117587522 131155313 176381283 262310626 352762566 393465939 786931878 1705019069 3410038138 5115057207 10230114414