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10001132130 = 23511177324421
BaseRepresentation
bin10010101000001110…
…10010101001100010
3221210222220011010010
421110013102221202
5130440242212010
64332222545350
7502560135423
oct112407225142
927728804103
1010001132130
114272418660
121b31438256
13c34cc5882
146ac37964a
153d8033620
hex2541d2a62

10001132130 has 128 divisors (see below), whose sum is σ = 28106009856. Its totient is φ = 2250547200.

The previous prime is 10001132101. The next prime is 10001132161. The reversal of 10001132130 is 3123110001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397320 + ... + 421740.

It is an arithmetic number, because the mean of its divisors is an integer number (219578202).

Almost surely, 210001132130 is an apocalyptic number.

10001132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053004928).

10001132130 is an abundant number, since it is smaller than the sum of its proper divisors (18104877726).

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

10001132130 is a wasteful number, since it uses less digits than its factorization.

10001132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24532.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10001132130 its reverse (3123110001), we get a palindrome (13124242131).

The spelling of 10001132130 in words is "ten billion, one million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 73 85 102 110 146 165 170 187 219 255 330 365 374 438 510 561 730 803 935 1095 1122 1241 1606 1870 2190 2409 2482 2805 3723 4015 4818 5610 6205 7446 8030 12045 12410 13651 18615 24090 24421 27302 37230 40953 48842 68255 73263 81906 122105 136510 146526 204765 244210 268631 366315 409530 415157 537262 732630 805893 830314 1245471 1343155 1611786 1782733 2075785 2490942 2686310 3565466 4029465 4151570 4566727 5348199 6227355 8058930 8913665 9133454 10696398 12454710 13700181 17827330 19610063 22833635 26740995 27400362 30306461 39220126 45667270 53481990 58830189 60612922 68500905 90919383 98050315 117660378 137001810 151532305 181838766 196100630 294150945 303064610 333371071 454596915 588301890 666742142 909193830 1000113213 1666855355 2000226426 3333710710 5000566065 10001132130