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23002211030100 = 22352536791213029
BaseRepresentation
bin1010011101011100111101…
…00111100001010001010100
310000102222201122011202012120
411032232132213201101110
511003332012010430400
6120531023031415540
74562566142514621
oct516563647412124
9100388648152176
1023002211030100
117369201507415
1226b5b95b245b0
13cab139c07973
14597454a63348
1529d518774ca0
hex14eb9e9e1454

23002211030100 has 144 divisors (see below), whose sum is σ = 67819085550720. Its totient is φ = 6017274099200.

The previous prime is 23002211030093. The next prime is 23002211030101. The reversal of 23002211030100 is 103011220032.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23002211030100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002211030101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107870386 + ... + 108083414.

It is an arithmetic number, because the mean of its divisors is an integer number (470965871880).

Almost surely, 223002211030100 is an apocalyptic number.

23002211030100 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 23002211030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33909542775360).

23002211030100 is an abundant number, since it is smaller than the sum of its proper divisors (44816874520620).

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

23002211030100 is a wasteful number, since it uses less digits than its factorization.

23002211030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219890 (or 219883 counting only the distinct ones).

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

Adding to 23002211030100 its reverse (103011220032), we get a palindrome (23105222250132).

The spelling of 23002211030100 in words is "twenty-three trillion, two billion, two hundred eleven million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 6791 7950 13582 15900 20373 27164 33955 40746 67910 81492 101865 135820 169775 203730 213029 339550 359923 407460 426058 509325 639087 679100 719846 852116 1018650 1065145 1079769 1278174 1439692 1799615 2037300 2130290 2159538 2556348 3195435 3599230 4260580 4319076 5325725 5398845 6390870 7198460 8998075 10651450 10797690 11290537 12781740 15977175 17996150 21302900 21595380 22581074 26994225 31954350 33871611 35992300 45162148 53988450 56452685 63908700 67743222 107976900 112905370 135486444 169358055 225810740 282263425 338716110 564526850 677432220 846790275 1129053700 1446679939 1693580550 2893359878 3387161100 4340039817 5786719756 7233399695 8680079634 14466799390 17360159268 21700199085 28933598780 36166998475 43400398170 72333996950 76674036767 86800796340 108500995425 144667993900 153348073534 217001990850 230022110301 306696147068 383370183835 434003981700 460044220602 766740367670 920088441204 1150110551505 1533480735340 1916850919175 2300221103010 3833701838350 4600442206020 5750552757525 7667403676700 11501105515050 23002211030100