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23132110002000 = 2435310093820963
BaseRepresentation
bin1010100001001110111010…
…01100110001011101010000
310000220102000112000020022220
411100213131030301131100
511012444030130031000
6121110424501301040
74605145151535456
oct520473514613520
9100812015006286
1023132110002000
11740930005264a
1227171a8a04780
13cba46bb98a4c
1459d8589509d6
152a1abc7ce1a0
hex1509dd331750

23132110002000 has 160 divisors (see below), whose sum is σ = 74651854892160. Its totient is φ = 6162447513600.

The previous prime is 23132110001989. The next prime is 23132110002019. The reversal of 23132110002000 is 20001123132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4143519 + ... + 7964481.

It is an arithmetic number, because the mean of its divisors is an integer number (466574093076).

Almost surely, 223132110002000 is an apocalyptic number.

23132110002000 is a gapful number since it is divisible by the number (20) 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 23132110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37325927446080).

23132110002000 is an abundant number, since it is smaller than the sum of its proper divisors (51519744890160).

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

23132110002000 is a wasteful number, since it uses less digits than its factorization.

23132110002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821998 (or 3821982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23132110002000 its reverse (20001123132), we get a palindrome (23152111125132).

The spelling of 23132110002000 in words is "twenty-three trillion, one hundred thirty-two billion, one hundred ten million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1009 1200 1500 2000 2018 3000 3027 4036 5045 6000 6054 8072 10090 12108 15135 16144 20180 24216 25225 30270 40360 48432 50450 60540 75675 80720 100900 121080 126125 151350 201800 242160 252250 302700 378375 403600 504500 605400 756750 1009000 1210800 1513500 2018000 3027000 3820963 6054000 7641926 11462889 15283852 19104815 22925778 30567704 38209630 45851556 57314445 61135408 76419260 91703112 95524075 114628890 152838520 183406224 191048150 229257780 286572225 305677040 382096300 458515560 477620375 573144450 764192600 917031120 955240750 1146288900 1432861125 1528385200 1910481500 2292577800 2865722250 3820963000 3855351667 4585155600 5731444500 7641926000 7710703334 11462889000 11566055001 15421406668 19276758335 22925778000 23132110002 30842813336 38553516670 46264220004 57830275005 61685626672 77107033340 92528440008 96383791675 115660550010 154214066680 185056880016 192767583350 231321100020 289151375025 308428133360 385535166700 462642200040 481918958375 578302750050 771070333400 925284400080 963837916750 1156605500100 1445756875125 1542140666800 1927675833500 2313211000200 2891513750250 3855351667000 4626422000400 5783027500500 7710703334000 11566055001000 23132110002000