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101330032023012 = 223133734314040429
BaseRepresentation
bin10111000010100010111100…
…100100000101010111100100
3111021210001112011012211012110
4113002202330210011113210
5101240142401144214022
6555302212444521020
730225565440615222
oct2702427444052744
9437701464184173
10101330032023012
112a3179094547a1
12b446532850170
1344704c51381b0
141b04584b7db12
15baac6004700c
hex5c28bc9055e4

101330032023012 has 96 divisors (see below), whose sum is σ = 255899244142080. Its totient is φ = 31022729418240.

The previous prime is 101330032023007. The next prime is 101330032023013. The reversal of 101330032023012 is 210320230033101.

It is a self number, because there is not a number n which added to its sum of digits gives 101330032023012.

It is not an unprimeable number, because it can be changed into a prime (101330032023013) 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, 23058814 + ... + 27099242.

It is an arithmetic number, because the mean of its divisors is an integer number (2665617126480).

Almost surely, 2101330032023012 is an apocalyptic number.

101330032023012 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 101330032023012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127949622071040).

101330032023012 is an abundant number, since it is smaller than the sum of its proper divisors (154569212119068).

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

101330032023012 is a wasteful number, since it uses less digits than its factorization.

101330032023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041253 (or 4041251 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101330032023012 its reverse (210320230033101), we get a palindrome (311650262056113).

The spelling of 101330032023012 in words is "one hundred one trillion, three hundred thirty billion, thirty-two million, twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 373 431 746 862 1119 1293 1492 1724 2238 2586 4476 4849 5172 5603 9698 11206 14547 16809 19396 22412 29094 33618 58188 67236 160763 321526 482289 643052 964578 1929156 2089919 4040429 4179838 6269757 8080858 8359676 12121287 12539514 16161716 24242574 25079028 48485148 52525577 105051154 157576731 210102308 315153462 630306924 1507080017 1741424899 3014160034 3482849798 4521240051 5224274697 6028320068 6965699596 9042480102 10448549394 18084960204 19592040221 20897098788 22638523687 39184080442 45277047374 58776120663 67915571061 78368160884 90554094748 117552241326 135831142122 235104482652 271662284244 649551487327 1299102974654 1948654461981 2598205949308 3897308923962 7794617847924 8444169335251 16888338670502 25332508005753 33776677341004 50665016011506 101330032023012