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10132023013332 = 22311293433770993
BaseRepresentation
bin1001001101110000101110…
…1000011110111111010100
31022212121112002211020000220
42103130023220132333110
52312000340342411312
633314330452234340
72064004655422563
oct223341350367724
938777462736026
1010132023013332
113256a6a938aa0
1211777a200b9b0
135865a41a425c
1427056d163bda
151288556b2c8c
hex9370ba1efd4

10132023013332 has 96 divisors (see below), whose sum is σ = 26687741431680. Its totient is φ = 2963569889280.

The previous prime is 10132023013331. The next prime is 10132023013349. The reversal of 10132023013332 is 23331032023101.

It is a super-2 number, since 2×101320230133322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132023013331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12756028 + ... + 13527020.

It is an arithmetic number, because the mean of its divisors is an integer number (277997306580).

Almost surely, 210132023013332 is an apocalyptic number.

10132023013332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132023013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343870715840).

10132023013332 is an abundant number, since it is smaller than the sum of its proper divisors (16555718418348).

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

10132023013332 is a wasteful number, since it uses less digits than its factorization.

10132023013332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774473 (or 774471 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10132023013332 its reverse (23331032023101), we get a palindrome (33463055036433).

The spelling of 10132023013332 in words is "ten trillion, one hundred thirty-two billion, twenty-three million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3433 3828 6866 10299 13732 20598 37763 41196 75526 99557 113289 151052 199114 226578 298671 398228 453156 597342 770993 1095127 1194684 1541986 2190254 2312979 3083972 3285381 4380508 4625958 6570762 8480923 9251916 13141524 16961846 22358797 25442769 33923692 44717594 50885538 67076391 89435188 101771076 134152782 245946767 268305564 491893534 737840301 983787068 1475680602 2646818969 2951361204 5293637938 7940456907 10587275876 15880913814 29115008659 31761827628 58230017318 76757750101 87345025977 116460034636 153515500202 174690051954 230273250303 307031000404 349380103908 460546500606 844335251111 921093001212 1688670502222 2533005753333 3377341004444 5066011506666 10132023013332