Search a number
-
+
10132031232232 = 2371321907356131
BaseRepresentation
bin1001001101110000110000…
…0111110101100011101000
31022212121112200021210020121
42103130030013311203220
52312000344443412412
633314331344333024
72064005115323440
oct223341407654350
938777480253217
1010132031232232
113256a74541a78
1211777a4914174
135865a5ac1200
142705702a3120
15128856288107
hex9370c1f58e8

10132031232232 has 96 divisors (see below), whose sum is σ = 23511732425280. Its totient is φ = 4007994531840.

The previous prime is 10132031232227. The next prime is 10132031232347. The reversal of 10132031232232 is 23223213023101.

It is a junction number, because it is equal to n+sod(n) for n = 10132031232197 and 10132031232206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180478807 + ... + 180534937.

It is an arithmetic number, because the mean of its divisors is an integer number (244913879430).

Almost surely, 210132031232232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132031232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11755866212640).

10132031232232 is an abundant number, since it is smaller than the sum of its proper divisors (13379701193048).

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

10132031232232 is a wasteful number, since it uses less digits than its factorization.

10132031232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75243 (or 75226 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10132031232232 its reverse (23223213023101), we get a palindrome (33355244255333).

The spelling of 10132031232232 in words is "ten trillion, one hundred thirty-two billion, thirty-one million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 19073 38146 56131 76292 112262 133511 152584 224524 247949 267022 392917 449048 495898 534044 729703 785834 991796 1068088 1459406 1571668 1735643 1983592 2918812 3143336 3223337 3471286 5107921 5837624 6446674 6942572 9486139 10215842 12893348 13885144 18972278 20431684 22563359 25786696 37944556 40863368 45126718 66402973 75889112 90253436 132805946 180506872 265611892 531223784 1070586563 2141173126 4282346252 7494105941 8564692504 13917625319 14988211882 27835250638 29976423764 55670501276 59952847528 97423377233 111341002552 180929129147 194846754466 361858258294 389693508932 723716516588 779387017864 1266503904029 1447433033176 2533007808058 5066015616116 10132031232232