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10132234014 = 237289593653
BaseRepresentation
bin10010110111110110…
…11001111100011110
3222011010120211002110
421123323121330132
5131222322442024
64353224534450
7506041365600
oct113373317436
928133524073
1010132234014
11432a422421
121b69321426
13c56208a56
146c1945170
153e47cd629
hex25bed9f1e

10132234014 has 96 divisors (see below), whose sum is σ = 23914582560. Its totient is φ = 2853193728.

The previous prime is 10132234003. The next prime is 10132234061. The reversal of 10132234014 is 41043223101.

It is a super-2 number, since 2×101322340142 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15516112 + ... + 15516764.

It is an arithmetic number, because the mean of its divisors is an integer number (249110235).

Almost surely, 210132234014 is an apocalyptic number.

10132234014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132234014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957291280).

10132234014 is an abundant number, since it is smaller than the sum of its proper divisors (13782348546).

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

10132234014 is a wasteful number, since it uses less digits than its factorization.

10132234014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10132234014 its reverse (41043223101), we get a palindrome (51175457115).

The spelling of 10132234014 in words is "ten billion, one hundred thirty-two million, two hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 89 98 147 178 267 294 534 593 623 653 1186 1246 1306 1779 1869 1959 3558 3738 3918 4151 4361 4571 8302 8722 9142 12453 13083 13713 24906 26166 27426 29057 31997 52777 58114 58117 63994 87171 95991 105554 116234 158331 174342 174351 191982 316662 348702 369439 387229 406819 738878 774458 813638 1108317 1161687 1220457 2216634 2323374 2440914 2586073 2710603 2847733 5172146 5421206 5695466 7758219 8131809 8543199 15516438 16263618 17086398 18974221 34463381 37948442 56922663 68926762 103390143 113845326 206780286 241243667 482487334 723731001 1447462002 1688705669 3377411338 5066117007 10132234014